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.
View question detailsMathematics
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.
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Easy · Level 8 · prime-factorisation,number-252,easy
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- (2^2\times3^2\times7)
- (4\times63)
- (2\times126)
- (9\times28)
Easy · Level 8 · prime-factorisation,number-270,easy
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- (2\times3^3\times5)
- (27\times10)
- (2^2\times3^2\times5)
- (9\times30)
Easy · Level 8 · prime-factorisation,number-294,easy
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- (2\times3\times7^2)
- (14\times21)
- (2\times147)
- (6\times49)
Easy · Level 8 · prime-factorisation,number-300,easy
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- (2^2\times3\times5^2)
- (30\times10)
- (3\times100)
- (2\times150)
Easy · Level 8 · prime-factorisation,number-315,easy
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- (3^2\times5\times7)
- (9\times35)
- (3\times105)
- (15\times21)
Easy · Level 8 · prime-factorisation,number-324,easy
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- (2^2\times3^4)
- (18\times18)
- (4\times81)
- (2^4\times3^2)
Easy · Level 8 · prime-factorisation,number-330,easy
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- (2\times3\times5\times11)
- (33\times10)
- (30\times11)
- (6\times55)
Easy · Level 8 · prime-factorisation,cube-number,easy
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- (7^3)
- (7^2)
- (49\times7)
- (343\times1)
Easy · Level 8 · prime-factorisation,number-360,easy
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- (2^3\times3^2\times5)
- (36\times10)
- (2^2\times3\times30)
- (12\times30)
Easy · Level 8 · prime-factorisation,number-375,easy
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- (3\times5^3)
- (15\times25)
- (3^2\times5^2)
- (75\times5)
Easy · Level 8 · prime-factorisation,number-392,easy
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- (2^3\times7^2)
- (8\times49)
- (2^2\times98)
- (14\times28)
Easy · Level 8 · prime-factorisation,number-400,easy
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- (2^4\times5^2)
- (20\times20)
- (4\times100)
- (2^2\times10^2)
Easy · Level 8 · prime-factorisation,square-number,easy
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- (3^2\times7^2)
- (21\times21)
- (9\times49)
- (3\times147)
Easy · Level 8 · prime-factorisation,number-450,easy
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- (2\times3^2\times5^2)
- (45\times10)
- (2^2\times3^2\times5)
- (9\times50)
Easy · Level 8 · prime-factorisation,number-480,easy
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- (2^5\times3\times5)
- (48\times10)
- (2^4\times30)
- (16\times30)
Easy · Level 8 · exponent-comparison,prime-factorisation,easy
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- 2
- 1
- 3
- 4
Easy · Level 8 · exponent-comparison,prime-factorisation,easy
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- 2
- 1
- 3
- 4
Easy · Level 8 · evaluate-factorisation,number-168,easy
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- 168
- 84
- 126
- 336
Easy · Level 8 · evaluate-factorisation,number-270,easy
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- 270
- 180
- 135
- 540
Easy · Level 8 · evaluate-factorisation,powers,easy
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- 240
- 120
- 180
- 300
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).
View question detailsWhat 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).
View question detailsWhich 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.
View question detailsWhat 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.
View question detailsWhich 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.
View question detailsWhat 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.
View question detailsWhich 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.
View question detailsWhat 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.
View question detailsWhich 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).
View question detailsWhat 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.
View question detailsWhich 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.
View question detailsWhat 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.
View question detailsWhich 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).
View question detailsWhat 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.
View question detailsIf (132=2^a\times3\times11), what is the value of (a)?
Correct answer: A
Step 1: The prime factorisation of 132 is (2^2\times3\times11). Step 2: In the given form, the power of 2 is (a). Step 3: Comparing gives (a=2).
View question detailsIf (150=2\times3\times5^b), what is the value of (b)?
Correct answer: A
Step 1: The prime factorisation of 150 is (2\times3\times5^2). Step 2: In the given form, the power of 5 is (b). Step 3: Comparing gives (b=2).
View question detailsWhich number has prime factorisation (2^3\times3\times7)?
Correct answer: A
Step 1: Calculate (2^3=8). Step 2: (8\times3\times7=168). Step 3: To get the number from prime factorisation, multiply all factors.
View question detailsWhich number has prime factorisation (2\times3^3\times5)?
Correct answer: A
Step 1: Calculate (3^3=27). Step 2: (2\times27\times5=270). Step 3: Evaluating the power first makes calculation easy.
View question detailsIf (n=2^4\times3\times5), what is the value of (n)?
Correct answer: A
Step 1: (2^4=16). Step 2: (16\times3\times5=240). Step 3: Multiply to get the number from prime form.
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