Q: What are the prime factors of the number 1,531,789?

 A: 7, 43, 727

Why are those the prime factors of the number 1,531,789?

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 1,531,789

1,531,789
Factor Arrows
7218,827
Factor Arrows
731,261
Factor Arrows
43727

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:

7, 43, 727

We can check our work by multiplying all of the prime factors together: 7 x 7 x 43 x 727 = 1,531,789

This can also be written as 72 x 431 x 7271 = 1,531,789

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


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