Q: What are the prime factors of the number 52,171,488?

 A: 2, 3, 107, 1693

Why are those the prime factors of the number 52,171,488?

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 52,171,488

52,171,488
Factor Arrows
226,085,744
Factor Arrows
213,042,872
Factor Arrows
26,521,436
Factor Arrows
23,260,718
Factor Arrows
21,630,359
Factor Arrows
3543,453
Factor Arrows
3181,151
Factor Arrows
1071,693

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, 107, 1693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 107 x 1,693 = 52,171,488

This can also be written as 25 x 32 x 1071 x 1,6931 = 52,171,488

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


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