What is the correct prime factorisation of 132?
Correct answer: A
Step 1: Write (132=4\times33). Step 2: (4=2^2) and (33=3\times11), so (132=2^2\times3\times11). Step 3: Do not keep composite factors like 4 and 33 in the final answer.
Mathematics
Prime Factorisation
अभाज्य गुणनखंडन
In Class 10 Mathematics, under the Real Numbers chapter, Prime Factorisation teaches students to express a composite number as a product of prime numbers. Students practise identifying prime factors and writing factorisations using multiplication and exponents. This foundational skill supports the Fundamental Theorem of Arithmetic and later work with HCF and LCM.
TOPIC PRACTICE
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Easy · Level 3
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- (2^2\times3\times11)
- (4\times33)
- (2\times66)
- (12\times11)
Easy · Level 3
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- (2\times3\times5^2)
- (15\times10)
- (2\times75)
- (3^2\times5^2)
Easy · Level 3
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- (2\times3^4)
- (2^2\times3^3)
- (18\times9)
- (6\times27)
Easy · Level 3
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- (2^3\times3\times7)
- (8\times21)
- (2^2\times42)
- (6\times28)
Easy · Level 3
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- (2^2\times3^2\times5)
- (18\times10)
- (2\times90)
- (3^2\times20)
Easy · Level 3
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- (2^2\times7^2)
- (14\times14)
- (4\times49)
- (2\times98)
Easy · Level 3
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- (2\times3\times5\times7)
- (21\times10)
- (30\times7)
- (14\times15)
Easy · Level 3
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- (3^2\times5^2)
- (15\times15)
- (9\times25)
- (3\times75)
Easy · Level 3
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- (3\times7\times11)
- (21\times11)
- (33\times7)
- (3\times77)
Easy · Level 3
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- (2^4\times3\times5)
- (24\times10)
- (2^3\times30)
- (16\times15)
Easy · Level 3
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- (2^2\times3^2\times7)
- (4\times63)
- (2\times126)
- (9\times28)
Easy · Level 3
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- (2\times3^3\times5)
- (27\times10)
- (2^2\times3^2\times5)
- (9\times30)
Easy · Level 3
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- (2\times3\times7^2)
- (14\times21)
- (2\times147)
- (6\times49)
Easy · Level 3
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- (2^2\times3\times5^2)
- (30\times10)
- (3\times100)
- (2\times150)
Easy · Level 3
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- (3^2\times5\times7)
- (9\times35)
- (3\times105)
- (15\times21)
Easy · Level 3
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- (2^2\times3^4)
- (18\times18)
- (4\times81)
- (2^4\times3^2)
Easy · Level 3
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- (2\times3\times5\times11)
- (33\times10)
- (30\times11)
- (6\times55)
Easy · Level 3
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- (7^3)
- (7^2)
- (49\times7)
- (343\times1)
Easy · Level 3
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- (2^3\times3^2\times5)
- (36\times10)
- (2^2\times3\times30)
- (12\times30)
Easy · Level 3
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- (3\times5^3)
- (15\times25)
- (3^2\times5^2)
- (75\times5)
Easy · Level 3
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- (2^3\times7^2)
- (8\times49)
- (2^2\times98)
- (14\times28)
Easy · Level 3
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- (2^4\times5^2)
- (20\times20)
- (4\times100)
- (2^2\times10^2)
Easy · Level 3
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- (3^2\times7^2)
- (21\times21)
- (9\times49)
- (3\times147)
Easy · Level 3
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- (2\times3^2\times5^2)
- (45\times10)
- (2^2\times3^2\times5)
- (9\times50)
Easy · Level 3
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- (2^5\times3\times5)
- (48\times10)
- (2^4\times30)
- (16\times30)
Which is the prime factorisation of 150?
Correct answer: A
Step 1: Write (150=15\times10). Step 2: (15=3\times5) and (10=2\times5), so (150=2\times3\times5^2). Step 3: When the same prime repeats, write it as a power.
What is the correct prime factorisation of 162?
Correct answer: A
Step 1: Write (162=2\times81). Step 2: Since (81=3^4), (162=2\times3^4). Step 3: Do not leave 81 in the final form; write (3^4).
Which is the prime factorisation of 168?
Correct answer: A
Step 1: Write (168=8\times21). Step 2: (8=2^3) and (21=3\times7), so (168=2^3\times3\times7). Step 3: 8 and 21 are composite, so break them further.
What is the correct prime factorisation of 180?
Correct answer: A
Step 1: Write (180=18\times10). Step 2: (18=2\times3^2) and (10=2\times5), so (180=2^2\times3^2\times5). Step 3: Change all composite factors into prime form.
Which is the prime factorisation of 196?
Correct answer: A
Step 1: (196) can be written as (14\times14) or (4\times49). Step 2: Since (14=2\times7), (196=2^2\times7^2). Step 3: In square numbers, exponents are often even, so check them.
What is the correct prime factorisation of 210?
Correct answer: A
Step 1: Write (210=21\times10). Step 2: (21=3\times7) and (10=2\times5), so (210=2\times3\times5\times7). Step 3: Do not keep 21 or 10 in the final answer.
Which is the prime factorisation of 225?
Correct answer: A
Step 1: Recognise (225=15^2). Step 2: Since (15=3\times5), (225=3^2\times5^2). Step 3: 15 is composite, so write powers of 3 and 5 in the final form.
What is the correct prime factorisation of 231?
Correct answer: A
Step 1: Write (231=21\times11). Step 2: Since (21=3\times7), (231=3\times7\times11). Step 3: 21 is composite, so do not keep it in the final answer.
Which is the prime factorisation of 240?
Correct answer: A
Step 1: Write (240=16\times15). Step 2: (16=2^4) and (15=3\times5), so (240=2^4\times3\times5). Step 3: It is necessary to change 16 into (2^4).
What is the correct prime factorisation of 252?
Correct answer: A
Step 1: Write (252=4\times63). Step 2: (4=2^2) and (63=3^2\times7), so (252=2^2\times3^2\times7). Step 3: Break 63 completely into prime form too.
Which is the prime factorisation of 270?
Correct answer: A
Step 1: Write (270=27\times10). Step 2: (27=3^3) and (10=2\times5), so (270=2\times3^3\times5). Step 3: Do not forget to change 27 into (3^3).
What is the correct prime factorisation of 294?
Correct answer: A
Step 1: Write (294=6\times49). Step 2: (6=2\times3) and (49=7^2), so (294=2\times3\times7^2). Step 3: Write 49 as (7^2).
Which is the prime factorisation of 300?
Correct answer: A
Step 1: Write (300=3\times100). Step 2: (100=2^2\times5^2), so (300=2^2\times3\times5^2). Step 3: Convert 100 into prime powers.
What is the correct prime factorisation of 315?
Correct answer: A
Step 1: Write (315=9\times35). Step 2: (9=3^2) and (35=5\times7), so (315=3^2\times5\times7). Step 3: Change both 9 and 35 into prime form.
Which is the prime factorisation of 324?
Correct answer: A
Step 1: Write (324=4\times81). Step 2: (4=2^2) and (81=3^4), so (324=2^2\times3^4). Step 3: Since it is a square number, check powers carefully.
What is the correct prime factorisation of 330?
Correct answer: A
Step 1: Write (330=33\times10). Step 2: (33=3\times11) and (10=2\times5), so (330=2\times3\times5\times11). Step 3: Break all composite factors further.
Which is the prime factorisation of 343?
Correct answer: A
Step 1: Write (343=7\times49). Step 2: Since (49=7^2), (343=7^3). Step 3: 49 is composite, so write (7^3) in the final form.
What is the correct prime factorisation of 360?
Correct answer: A
Step 1: Write (360=36\times10). Step 2: (36=2^2\times3^2) and (10=2\times5), so (360=2^3\times3^2\times5). Step 3: Be careful while counting the total power of 2.
Which is the prime factorisation of 375?
Correct answer: A
Step 1: Write (375=3\times125). Step 2: Since (125=5^3), (375=3\times5^3). Step 3: Change 125 into (5^3).
What is the correct prime factorisation of 392?
Correct answer: A
Step 1: Write (392=8\times49). Step 2: (8=2^3) and (49=7^2), so (392=2^3\times7^2). Step 3: Convert 8 and 49 into prime powers.
Which is the prime factorisation of 400?
Correct answer: A
Step 1: Write (400=16\times25). Step 2: (16=2^4) and (25=5^2), so (400=2^4\times5^2). Step 3: Composite forms like 20 or 10 are not final answers.
What is the correct prime factorisation of 441?
Correct answer: A
Step 1: Recognise (441=21^2). Step 2: Since (21=3\times7), (441=3^2\times7^2). Step 3: 21 is composite, so write prime bases 3 and 7.
Which is the prime factorisation of 450?
Correct answer: A
Step 1: Write (450=45\times10). Step 2: (45=3^2\times5) and (10=2\times5), so (450=2\times3^2\times5^2). Step 3: Since 5 appears twice, write (5^2).
What is the correct prime factorisation of 480?
Correct answer: A
Step 1: Write (480=48\times10). Step 2: (48=2^4\times3) and (10=2\times5), so (480=2^5\times3\times5). Step 3: Count the total power of 2 correctly.
QUIZ COMPLETE