Q: What are the prime factors of the number 77,106,704?

 A: 2, 4819169

Why are those the prime factors of the number 77,106,704?

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 77,106,704

77,106,704
Factor Arrows
238,553,352
Factor Arrows
219,276,676
Factor Arrows
29,638,338
Factor Arrows
24,819,169

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, 4819169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 4,819,169 = 77,106,704

This can also be written as 24 x 4,819,1691 = 77,106,704

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


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