Q: What are the prime factors of the number 215,323,024?

 A: 2, 7, 31, 62017

Why are those the prime factors of the number 215,323,024?

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 215,323,024

215,323,024
Factor Arrows
2107,661,512
Factor Arrows
253,830,756
Factor Arrows
226,915,378
Factor Arrows
213,457,689
Factor Arrows
71,922,527
Factor Arrows
3162,017

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, 7, 31, 62017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 31 x 62,017 = 215,323,024

This can also be written as 24 x 71 x 311 x 62,0171 = 215,323,024

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


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