Q: What are the prime factors of the number 1,131,280?

 A: 2, 5, 79, 179

Why are those the prime factors of the number 1,131,280?

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 1,131,280

1,131,280
Factor Arrows
2565,640
Factor Arrows
2282,820
Factor Arrows
2141,410
Factor Arrows
270,705
Factor Arrows
514,141
Factor Arrows
79179

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, 79, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 79 x 179 = 1,131,280

This can also be written as 24 x 51 x 791 x 1791 = 1,131,280

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


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