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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 prime factorisation, a number is written as a product of prime numbers. Step 2: For example, 12 can be written as (2^2\times3). Step 3: Keep only prime numbers in the final form.
View question detailsStep 1: Divide 12 by 2 to get 6. Step 2: (6=2\times3), so (12=2^2\times3). Step 3: 4 and 6 are composite, so do not keep them in the final answer.
View question detailsStep 1: Write 18 as (2\times9). Step 2: Since (9=3^2), (18=2\times3^2). Step 3: Do not leave 9 in the final prime form.
View question detailsStep 1: Write (20=4\times5). Step 2: Since (4=2^2), (20=2^2\times5). Step 3: 4 is composite, so write (2^2) in the final form.
View question detailsStep 1: Divide 24 repeatedly by 2. Step 2: (24=2\times2\times2\times3=2^3\times3). Step 3: 8 and 6 are composite, so they are not the correct prime form.
View question detailsStep 1: Write (28=4\times7). Step 2: Since (4=2^2), (28=2^2\times7). Step 3: In the final answer, write (2^2) instead of 4.
View question detailsStep 1: 30 can be written as (3\times10). Step 2: (10=2\times5), so (30=2\times3\times5). Step 3: Do not keep 6, 10, or 15 in the final prime form.
View question detailsStep 1: Write (36=4\times9). Step 2: (4=2^2) and (9=3^2), so (36=2^2\times3^2). Step 3: In complete prime form, keep only prime bases.
View question detailsStep 1: Write (42=6\times7). Step 2: (6=2\times3), so (42=2\times3\times7). Step 3: 6 is composite, so do not keep it in the final answer.
View question detailsStep 1: Write (45=9\times5). Step 2: Since (9=3^2), (45=3^2\times5). Step 3: 9 is composite, so write (3^2) in the final form.
View question detailsStep 1: Divide 48 repeatedly by 2. Step 2: We get (48=2^4\times3). Step 3: 16 and 6 are composite, so they are not final prime answers.
View question detailsStep 1: Write (50=2\times25). Step 2: Since (25=5^2), (50=2\times5^2). Step 3: 25 is composite, so write (5^2) in the final form.
View question detailsStep 1: Write (56=8\times7). Step 2: Since (8=2^3), (56=2^3\times7). Step 3: 8 is composite, so write (2^3) in the final answer.
View question detailsStep 1: Write (60=6\times10). Step 2: (6=2\times3) and (10=2\times5), so (60=2^2\times3\times5). Step 3: 6 and 10 are not final prime forms.
View question detailsStep 1: Write (63=9\times7). Step 2: Since (9=3^2), (63=3^2\times7). Step 3: 9 or 21 are composite, so they will not remain in the final answer.
View question detailsStep 1: Write (72=8\times9). Step 2: (8=2^3) and (9=3^2), so (72=2^3\times3^2). Step 3: In prime factorisation, break 8 and 9 into prime powers.
View question detailsStep 1: Write (75=3\times25). Step 2: Since (25=5^2), (75=3\times5^2). Step 3: 25 is composite, so write (5^2) in the final form.
View question detailsStep 1: Write (84=4\times21). Step 2: (4=2^2) and (21=3\times7), so (84=2^2\times3\times7). Step 3: Do not keep 4 and 21 in the final answer.
View question detailsStep 1: Write (90=9\times10). Step 2: (9=3^2) and (10=2\times5), so (90=2\times3^2\times5). Step 3: Write powers carefully because 3 appears twice.
View question detailsStep 1: Divide 96 repeatedly by 2. Step 2: We get (96=2^5\times3). Step 3: 32 means (2^5), but in final prime form write base 2.
View question detailsQUIZ COMPLETE
