Q: What are the prime factors of the number 76,055,264?

 A: 2, 401, 5927

Why are those the prime factors of the number 76,055,264?

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 76,055,264

76,055,264
Factor Arrows
238,027,632
Factor Arrows
219,013,816
Factor Arrows
29,506,908
Factor Arrows
24,753,454
Factor Arrows
22,376,727
Factor Arrows
4015,927

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, 401, 5927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 401 x 5,927 = 76,055,264

This can also be written as 25 x 4011 x 5,9271 = 76,055,264

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


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