Q: What are the prime factors of the number 14,695,722?

 A: 2, 3, 71, 3833

Why are those the prime factors of the number 14,695,722?

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 14,695,722

14,695,722
Factor Arrows
27,347,861
Factor Arrows
32,449,287
Factor Arrows
3816,429
Factor Arrows
3272,143
Factor Arrows
713,833

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, 3, 71, 3833

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 71 x 3,833 = 14,695,722

This can also be written as 21 x 33 x 711 x 3,8331 = 14,695,722

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


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