Q: What are the prime factors of the number 14,600,492?

 A: 2, 23, 151, 1051

Why are those the prime factors of the number 14,600,492?

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 14,600,492

14,600,492
Factor Arrows
27,300,246
Factor Arrows
23,650,123
Factor Arrows
23158,701
Factor Arrows
1511,051

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, 23, 151, 1051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 151 x 1,051 = 14,600,492

This can also be written as 22 x 231 x 1511 x 1,0511 = 14,600,492

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


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