Q: What are the prime factors of the number 7,084,725?

 A: 3, 5, 94463

Why are those the prime factors of the number 7,084,725?

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 7,084,725

7,084,725
Factor Arrows
32,361,575
Factor Arrows
5472,315
Factor Arrows
594,463

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:

3, 5, 94463

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 94,463 = 7,084,725

This can also be written as 31 x 52 x 94,4631 = 7,084,725

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


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