Q: What are the prime factors of the number 5,808,294?

 A: 2, 3, 29, 3709

Why are those the prime factors of the number 5,808,294?

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 5,808,294

5,808,294
Factor Arrows
22,904,147
Factor Arrows
3968,049
Factor Arrows
3322,683
Factor Arrows
3107,561
Factor Arrows
293,709

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, 29, 3709

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 29 x 3,709 = 5,808,294

This can also be written as 21 x 33 x 291 x 3,7091 = 5,808,294

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


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