Q: What are the prime factors of the number 77,653,832?

 A: 2, 439, 22111

Why are those the prime factors of the number 77,653,832?

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 77,653,832

77,653,832
Factor Arrows
238,826,916
Factor Arrows
219,413,458
Factor Arrows
29,706,729
Factor Arrows
43922,111

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, 439, 22111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 439 x 22,111 = 77,653,832

This can also be written as 23 x 4391 x 22,1111 = 77,653,832

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


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