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Question: What is Prime Factor ?

Answer:

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