Q: What are the prime factors of the number 20,252,340?

 A: 2, 3, 5, 59, 1907

Why are those the prime factors of the number 20,252,340?

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 20,252,340

20,252,340
Factor Arrows
210,126,170
Factor Arrows
25,063,085
Factor Arrows
31,687,695
Factor Arrows
3562,565
Factor Arrows
5112,513
Factor Arrows
591,907

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, 5, 59, 1907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 59 x 1,907 = 20,252,340

This can also be written as 22 x 32 x 51 x 591 x 1,9071 = 20,252,340

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


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