Q: What are the prime factors of the number 77,931,426?

 A: 2, 3, 19, 89, 7681

Why are those the prime factors of the number 77,931,426?

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 77,931,426

77,931,426
Factor Arrows
238,965,713
Factor Arrows
312,988,571
Factor Arrows
19683,609
Factor Arrows
897,681

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, 19, 89, 7681

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 89 x 7,681 = 77,931,426

This can also be written as 21 x 31 x 191 x 891 x 7,6811 = 77,931,426

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


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