Q: What are the prime factors of the number 215,344,620?

 A: 2, 3, 5, 1196359

Why are those the prime factors of the number 215,344,620?

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 215,344,620

215,344,620
Factor Arrows
2107,672,310
Factor Arrows
253,836,155
Factor Arrows
317,945,385
Factor Arrows
35,981,795
Factor Arrows
51,196,359

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, 5, 1196359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,196,359 = 215,344,620

This can also be written as 22 x 32 x 51 x 1,196,3591 = 215,344,620

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


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