Q: What are the prime factors of the number 20,371,536?

 A: 2, 3, 193, 733

Why are those the prime factors of the number 20,371,536?

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 20,371,536

20,371,536
Factor Arrows
210,185,768
Factor Arrows
25,092,884
Factor Arrows
22,546,442
Factor Arrows
21,273,221
Factor Arrows
3424,407
Factor Arrows
3141,469
Factor Arrows
193733

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, 193, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 193 x 733 = 20,371,536

This can also be written as 24 x 32 x 1931 x 7331 = 20,371,536

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


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