Q: What are the prime factors of the number 42,873,651?

 A: 3, 31, 181, 283

Why are those the prime factors of the number 42,873,651?

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 42,873,651

42,873,651
Factor Arrows
314,291,217
Factor Arrows
34,763,739
Factor Arrows
31,587,913
Factor Arrows
3151,223
Factor Arrows
181283

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, 31, 181, 283

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 181 x 283 = 42,873,651

This can also be written as 33 x 311 x 1811 x 2831 = 42,873,651

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


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