Q: What are the prime factors of the number 1,979,120?

 A: 2, 5, 11, 13, 173

Why are those the prime factors of the number 1,979,120?

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 1,979,120

1,979,120
Factor Arrows
2989,560
Factor Arrows
2494,780
Factor Arrows
2247,390
Factor Arrows
2123,695
Factor Arrows
524,739
Factor Arrows
112,249
Factor Arrows
13173

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, 11, 13, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 11 x 13 x 173 = 1,979,120

This can also be written as 24 x 51 x 111 x 131 x 1731 = 1,979,120

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


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