Q: What are the prime factors of the number 76,577,440?

 A: 2, 5, 31, 15439

Why are those the prime factors of the number 76,577,440?

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 76,577,440

76,577,440
Factor Arrows
238,288,720
Factor Arrows
219,144,360
Factor Arrows
29,572,180
Factor Arrows
24,786,090
Factor Arrows
22,393,045
Factor Arrows
5478,609
Factor Arrows
3115,439

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, 5, 31, 15439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 31 x 15,439 = 76,577,440

This can also be written as 25 x 51 x 311 x 15,4391 = 76,577,440

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


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