Q: What are the prime factors of the number 77,897,428?

 A: 2, 7, 89, 31259

Why are those the prime factors of the number 77,897,428?

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 77,897,428

77,897,428
Factor Arrows
238,948,714
Factor Arrows
219,474,357
Factor Arrows
72,782,051
Factor Arrows
8931,259

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, 89, 31259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 89 x 31,259 = 77,897,428

This can also be written as 22 x 71 x 891 x 31,2591 = 77,897,428

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


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