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To find the prime factors of any number then it is necessary to know what numbers are prime numbers.

Divide 35 (or any other number) by prime numbers of increasing value. If a Prime number divides wholly into 35 then it is a factor. Repeat the division with the same prime number on the new quotient in case the prime number factors several times.

Continue with prime numbers of increasing value until the quotient = 1. At the stage the number has been factored completely.

35 ÷ 2 (Not wholly divisible)

35 ÷ 3 (Not wholly divisible)

35 ÷ 5 = 7 Therefore 5 is a prime factor.

7 ÷ 5 (Not wholly divisible)

7 ÷ 7 = 1 Therefore 7 is a prime factor. The quotient = 1 so the factoring operation is complete.

The prime factors of 35 are 5 and 7.

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15y ago

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