Q: What are the prime factors of the number 1,470,616?

 A: 2, 7, 26261

Why are those the prime factors of the number 1,470,616?

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 1,470,616

1,470,616
Factor Arrows
2735,308
Factor Arrows
2367,654
Factor Arrows
2183,827
Factor Arrows
726,261

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, 7, 26261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 26,261 = 1,470,616

This can also be written as 23 x 71 x 26,2611 = 1,470,616

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


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