Q: What are the prime factors of the number 52,136,868?

 A: 2, 3, 7, 571, 1087

Why are those the prime factors of the number 52,136,868?

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 52,136,868

52,136,868
Factor Arrows
226,068,434
Factor Arrows
213,034,217
Factor Arrows
34,344,739
Factor Arrows
7620,677
Factor Arrows
5711,087

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, 7, 571, 1087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 571 x 1,087 = 52,136,868

This can also be written as 22 x 31 x 71 x 5711 x 1,0871 = 52,136,868

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


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