Q: What are the prime factors of the number 77,603,790?

 A: 2, 3, 5, 11, 19, 12377

Why are those the prime factors of the number 77,603,790?

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 77,603,790

77,603,790
Factor Arrows
238,801,895
Factor Arrows
312,933,965
Factor Arrows
52,586,793
Factor Arrows
11235,163
Factor Arrows
1912,377

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, 5, 11, 19, 12377

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 11 x 19 x 12,377 = 77,603,790

This can also be written as 21 x 31 x 51 x 111 x 191 x 12,3771 = 77,603,790

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


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