What is prime factorization of numbers in maths? Grade 7 maths questions are presented along with detailed solutions. Detailed Solutions and explanations are included.
What is prime factorization of numbers in maths?
Factors are numbers that when multiplied together gives another number. Examples: 1) 2 and 5 are factors of 10 because 2 × 5 = 10. 2) 2, 3, 4 and 6 and factors of 12 because 2 × 2 × 3 = 12 4 × 3 = 12 2 × 6 = 12 Prime factorization is to factor a number into prime numbers ONLY. Examples: 10 = 2 × 5 , both factors 3 and 5 are prime numbers 12 = 2 × 2 × 3 , both factors 2 and 3 are prime numbers 42 = 2 × 3 × 7 , all factors 2, 3 and 7 are prime numbers
Prime factorization is unique and can be achieved by successive division using the prime numbers: 2, 3, 5, 7, 11, ...
Examples:
STEP 2: Divide the result of the division in step 1 by the first prime number 2 if possible (if not by the next prime numbers 3, 5, 7 ... and so on): STEP 3: The result of the division in step 2 is the prime number 5. We stop. The prime factorization of 30 involves all divisors and the last result: 30 = 2 × 3 × 5
2  Find the prime factorization of 60.
. A Prime Factors Calculator may be used to check your answers. Answer the following questions on prime factorization.

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