Prime factorization using repeated division

The prime factors of a number are factors which are prime numbers. We can find the prime factors of a number by repetitive division. This method is called prime factorisation.

Example:

Find the prime factors of 36.

Solution:

The prime factors of 36 are 2 and 3.

We can write 36 as a product of prime factors: 2 × 2 × 3 × 3

To find prime factors using the repetitive division, it is advisable to start with a small prime factor and continue the process with bigger prime factors.

The following video shows more examples of prime factorization using repeated division.

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