Q: What are the prime factors of the number 1,003,040?

 A: 2, 5, 6269

Why are those the prime factors of the number 1,003,040?

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 1,003,040

1,003,040
Factor Arrows
2501,520
Factor Arrows
2250,760
Factor Arrows
2125,380
Factor Arrows
262,690
Factor Arrows
231,345
Factor Arrows
56,269

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, 6269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 6,269 = 1,003,040

This can also be written as 25 x 51 x 6,2691 = 1,003,040

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


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