Q: What are the prime factors of the number 77,026,200?

 A: 2, 3, 5, 128377

Why are those the prime factors of the number 77,026,200?

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 77,026,200

77,026,200
Factor Arrows
238,513,100
Factor Arrows
219,256,550
Factor Arrows
29,628,275
Factor Arrows
33,209,425
Factor Arrows
5641,885
Factor Arrows
5128,377

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, 5, 128377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 128,377 = 77,026,200

This can also be written as 23 x 31 x 52 x 128,3771 = 77,026,200

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


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