Q: What are the prime factors of the number 1,558,722?

 A: 2, 3, 11, 19, 113

Why are those the prime factors of the number 1,558,722?

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 1,558,722

1,558,722
Factor Arrows
2779,361
Factor Arrows
3259,787
Factor Arrows
1123,617
Factor Arrows
112,147
Factor Arrows
19113

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, 11, 19, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 11 x 19 x 113 = 1,558,722

This can also be written as 21 x 31 x 112 x 191 x 1131 = 1,558,722

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


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