Q: What are the prime factors of the number 20,232,590?

 A: 2, 5, 7, 157, 263

Why are those the prime factors of the number 20,232,590?

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 20,232,590

20,232,590
Factor Arrows
210,116,295
Factor Arrows
52,023,259
Factor Arrows
7289,037
Factor Arrows
741,291
Factor Arrows
157263

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, 157, 263

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 157 x 263 = 20,232,590

This can also be written as 21 x 51 x 72 x 1571 x 2631 = 20,232,590

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


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