Q: What are the prime factors of the number 1,039,440?

 A: 2, 3, 5, 61, 71

Why are those the prime factors of the number 1,039,440?

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 1,039,440

1,039,440
Factor Arrows
2519,720
Factor Arrows
2259,860
Factor Arrows
2129,930
Factor Arrows
264,965
Factor Arrows
321,655
Factor Arrows
54,331
Factor Arrows
6171

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, 61, 71

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 61 x 71 = 1,039,440

This can also be written as 24 x 31 x 51 x 611 x 711 = 1,039,440

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


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