Q: What are the prime factors of the number 78,952,930?

 A: 2, 5, 7, 17, 66347

Why are those the prime factors of the number 78,952,930?

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 78,952,930

78,952,930
Factor Arrows
239,476,465
Factor Arrows
57,895,293
Factor Arrows
71,127,899
Factor Arrows
1766,347

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, 5, 7, 17, 66347

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 17 x 66,347 = 78,952,930

This can also be written as 21 x 51 x 71 x 171 x 66,3471 = 78,952,930

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


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