Q: What are the prime factors of the number 76,651,064?

 A: 2, 7, 113, 12113

Why are those the prime factors of the number 76,651,064?

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 76,651,064

76,651,064
Factor Arrows
238,325,532
Factor Arrows
219,162,766
Factor Arrows
29,581,383
Factor Arrows
71,368,769
Factor Arrows
11312,113

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, 7, 113, 12113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 113 x 12,113 = 76,651,064

This can also be written as 23 x 71 x 1131 x 12,1131 = 76,651,064

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


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