Q: What are the prime factors of the number 16,715,064?

 A: 2, 3, 293, 2377

Why are those the prime factors of the number 16,715,064?

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 16,715,064

16,715,064
Factor Arrows
28,357,532
Factor Arrows
24,178,766
Factor Arrows
22,089,383
Factor Arrows
3696,461
Factor Arrows
2932,377

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, 293, 2377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 293 x 2,377 = 16,715,064

This can also be written as 23 x 31 x 2931 x 2,3771 = 16,715,064

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


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