Q: What are the prime factors of the number 14,311,154?

 A: 2, 11, 13, 4549

Why are those the prime factors of the number 14,311,154?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 14,311,154

14,311,154
Factor Arrows
27,155,577
Factor Arrows
11650,507
Factor Arrows
1159,137
Factor Arrows
134,549

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 11, 13, 4549

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 13 x 4,549 = 14,311,154

This can also be written as 21 x 112 x 131 x 4,5491 = 14,311,154

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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