Q: What are the prime factors of the number 17,962,020?

 A: 2, 3, 5, 29, 31, 37

Why are those the prime factors of the number 17,962,020?

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 17,962,020

17,962,020
Factor Arrows
28,981,010
Factor Arrows
24,490,505
Factor Arrows
31,496,835
Factor Arrows
3498,945
Factor Arrows
3166,315
Factor Arrows
533,263
Factor Arrows
291,147
Factor Arrows
3137

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, 29, 31, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 29 x 31 x 37 = 17,962,020

This can also be written as 22 x 33 x 51 x 291 x 311 x 371 = 17,962,020

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


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