Q: What are the prime factors of the number 76,555,520?

 A: 2, 5, 59809

Why are those the prime factors of the number 76,555,520?

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 76,555,520

76,555,520
Factor Arrows
238,277,760
Factor Arrows
219,138,880
Factor Arrows
29,569,440
Factor Arrows
24,784,720
Factor Arrows
22,392,360
Factor Arrows
21,196,180
Factor Arrows
2598,090
Factor Arrows
2299,045
Factor Arrows
559,809

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, 59809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 59,809 = 76,555,520

This can also be written as 28 x 51 x 59,8091 = 76,555,520

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


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