Q: What are the prime factors of the number 77,581,284?

 A: 2, 3, 11, 587737

Why are those the prime factors of the number 77,581,284?

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 77,581,284

77,581,284
Factor Arrows
238,790,642
Factor Arrows
219,395,321
Factor Arrows
36,465,107
Factor Arrows
11587,737

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, 11, 587737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 587,737 = 77,581,284

This can also be written as 22 x 31 x 111 x 587,7371 = 77,581,284

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


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