Q: What are the prime factors of the number 4,870,092?

 A: 2, 3, 17, 23873

Why are those the prime factors of the number 4,870,092?

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 4,870,092

4,870,092
Factor Arrows
22,435,046
Factor Arrows
21,217,523
Factor Arrows
3405,841
Factor Arrows
1723,873

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, 17, 23873

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 23,873 = 4,870,092

This can also be written as 22 x 31 x 171 x 23,8731 = 4,870,092

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


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