1

The prime factors of a number are the factors of the number that are prime. It is possible to write every non-prime number as a product of prime factors.
2

For example:

15 = 3 x 5 24 = 2 x 2 x 2 x 3 42 = 2 x 3 x 7
3

To find the prime factors of a number:

a. Start with the lowest prime number, 2. Find out if this will divide into the number. If it will not divide, try the next prime number, 3. And so on, trying 5, 7, 11, 13, ... in turn. b. If a prime number will divide, check if it will divide again before moving on to the next prime.
4

Express 15288 as a product of prime factors

15288 = 2 x 7644 = 2 x 2 x 3822 = 2 x 2 x 2 x 1911 = 2 x 2 x 2 x 3 x 637 = 2 x 2 x 2 x 3 x 7 x 91 = 2 x 2 x 2 x 3 x 7 x 7 x 13
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