Q: What are the prime factors of the number 52,097,990?

 A: 2, 5, 7, 23, 32359

Why are those the prime factors of the number 52,097,990?

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 52,097,990

52,097,990
Factor Arrows
226,048,995
Factor Arrows
55,209,799
Factor Arrows
7744,257
Factor Arrows
2332,359

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, 7, 23, 32359

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 23 x 32,359 = 52,097,990

This can also be written as 21 x 51 x 71 x 231 x 32,3591 = 52,097,990

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


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