Q: What are the prime factors of the number 291,012?

 A: 2, 3, 24251

Why are those the prime factors of the number 291,012?

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 291,012

291,012
Factor Arrows
2145,506
Factor Arrows
272,753
Factor Arrows
324,251

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, 24251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 24,251 = 291,012

This can also be written as 22 x 31 x 24,2511 = 291,012

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


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