Q: What are the prime factors of the number 79,499,672?

 A: 2, 7, 29, 48953

Why are those the prime factors of the number 79,499,672?

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 79,499,672

79,499,672
Factor Arrows
239,749,836
Factor Arrows
219,874,918
Factor Arrows
29,937,459
Factor Arrows
71,419,637
Factor Arrows
2948,953

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, 29, 48953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 29 x 48,953 = 79,499,672

This can also be written as 23 x 71 x 291 x 48,9531 = 79,499,672

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


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