Q: What are the prime factors of the number 5,664,204?

 A: 2, 3, 7, 13, 19

Why are those the prime factors of the number 5,664,204?

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 5,664,204

5,664,204
Factor Arrows
22,832,102
Factor Arrows
21,416,051
Factor Arrows
3472,017
Factor Arrows
3157,339
Factor Arrows
722,477
Factor Arrows
73,211
Factor Arrows
13247
Factor Arrows
1319

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, 7, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 13 x 13 x 19 = 5,664,204

This can also be written as 22 x 32 x 72 x 132 x 191 = 5,664,204

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


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