The factors
of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Two of these numbers, namely
2 and 3, are prime numbers and are called the prime factors of 36.
Every number can be written as a product of its prime factors only:
For example :
36 = 2 x 18
= 2 x 2 x 9
= 2 x 2 x 3 x 3
96 = 2 x 48
= 2 x 2 x 24
= 2 x 2 x 2 x 12
= 2 x 2 x 2 x 2 x 6
= 2 x 2 x 2 x 2 x 2 x 3
100 has two prime factors: 2 and 5 (100 = 22 × 52). Both have
multiplicity 2.
The prime factors of 6 are 2 and 3 (6 = 2 × 3). Both have
multiplicity 1