Q: What are the prime factors of the number 1,013,520?

 A: 2, 3, 5, 41, 103

Why are those the prime factors of the number 1,013,520?

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 1,013,520

1,013,520
Factor Arrows
2506,760
Factor Arrows
2253,380
Factor Arrows
2126,690
Factor Arrows
263,345
Factor Arrows
321,115
Factor Arrows
54,223
Factor Arrows
41103

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, 41, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 41 x 103 = 1,013,520

This can also be written as 24 x 31 x 51 x 411 x 1031 = 1,013,520

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


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