Q: What are the prime factors of the number 1,125,520?

 A: 2, 5, 11, 1279

Why are those the prime factors of the number 1,125,520?

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 1,125,520

1,125,520
Factor Arrows
2562,760
Factor Arrows
2281,380
Factor Arrows
2140,690
Factor Arrows
270,345
Factor Arrows
514,069
Factor Arrows
111,279

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, 1279

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 1,279 = 1,125,520

This can also be written as 24 x 51 x 111 x 1,2791 = 1,125,520

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


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