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SubjectsMathematics
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
Up to 20 questions from this page. Select your focus, then start.
Step 1: In final prime factorisation, the bases should be prime. Step 2: (36=2^2\times3^2), so (36^2) must be changed into (2^4\times3^4). Step 3: Do not keep a composite base like 36 in the final answer.
View question detailsStep 1: Write (5544=8\times693). Step 2: (8=2^3) and (693=3^2\times7\times11), so (5544=2^3\times3^2\times7\times11). Step 3: Do not leave 693 in the final form.
View question detailsStep 1: Write (6048=32\times189). Step 2: (32=2^5) and (189=3^3\times7), so (6048=2^5\times3^3\times7). Step 3: Change 189 into (3^3\times7).
View question detailsStep 1: Write (6930=63\times110). Step 2: (63=3^2\times7) and (110=2\times5\times11), so (6930=2\times3^2\times5\times7\times11). Step 3: Give prime form to both 63 and 110.
View question detailsStep 1: Write (8316=36\times231). Step 2: (36=2^2\times3^2) and (231=3\times7\times11), so (8316=2^2\times3^3\times7\times11). Step 3: The total power of 3 becomes 3.
View question detailsStep 1: Write (9240=8\times1155). Step 2: (8=2^3) and (1155=3\times5\times7\times11), so (9240=2^3\times3\times5\times7\times11). Step 3: Give 1155 its complete prime form.
View question detailsStep 1: Write (10395=27\times385). Step 2: (27=3^3) and (385=5\times7\times11), so (10395=3^3\times5\times7\times11). Step 3: Break 385 into prime form too.
View question detailsStep 1: Recognise (11025=105^2). Step 2: Since (105=3\times5\times7), (11025=3^2\times5^2\times7^2). Step 3: In a square number, prime exponents are even.
View question detailsStep 1: Write (11760=16\times735). Step 2: (16=2^4) and (735=3\times5\times7^2), so (11760=2^4\times3\times5\times7^2). Step 3: Give 735 its complete prime form.
View question detailsStep 1: Write (14112=32\times441). Step 2: (32=2^5) and (441=3^2\times7^2), so (14112=2^5\times3^2\times7^2). Step 3: Change 441 into (3^2\times7^2).
View question detailsStep 1: Write (15120=16\times945). Step 2: (16=2^4) and (945=3^3\times5\times7), so (15120=2^4\times3^3\times5\times7). Step 3: Do not leave 945 in the final form.
View question detailsStep 1: Write (16632=8\times2079). Step 2: (2079=3^3\times7\times11), so (16632=2^3\times3^3\times7\times11). Step 3: Break 2079 down to prime factors.
View question detailsStep 1: Write (17640=8\times2205). Step 2: (2205=3^2\times5\times7^2), so (17640=2^3\times3^2\times5\times7^2). Step 3: Give 2205 its complete prime form.
View question detailsStep 1: Recognise (19600=140^2). Step 2: Since (140=2^2\times5\times7), (19600=2^4\times5^2\times7^2). Step 3: Check evenness of exponents in square numbers.
View question detailsStep 1: Write (20790=54\times385). Step 2: (54=2\times3^3) and (385=5\times7\times11), so (20790=2\times3^3\times5\times7\times11). Step 3: Break both 54 and 385 completely.
View question detailsStep 1: Write (21168=16\times1323). Step 2: (1323=3^3\times7^2), so (21168=2^4\times3^3\times7^2). Step 3: Convert 1323 into powers of 3 and 7.
View question detailsStep 1: Write (24255=45\times539). Step 2: (45=3^2\times5) and (539=7^2\times11), so (24255=3^2\times5\times7^2\times11). Step 3: Give 539 its prime form too.
View question detailsStep 1: Write (27720=8\times3465). Step 2: (3465=3^2\times5\times7\times11), so (27720=2^3\times3^2\times5\times7\times11). Step 3: Break 3465 completely.
View question detailsStep 1: Write (28224=64\times441). Step 2: (64=2^6) and (441=3^2\times7^2), so (28224=2^6\times3^2\times7^2). Step 3: Write 441 as prime powers.
View question detailsStep 1: Write (31104=128\times243). Step 2: (128=2^7) and (243=3^5), so (31104=2^7\times3^5). Step 3: 128 and 243 are composite, so keep prime bases.
View question detailsQUIZ COMPLETE
