Q: What are the prime factors of the number 2,290,971?

 A: 3, 17, 29, 1549

Why are those the prime factors of the number 2,290,971?

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 2,290,971

2,290,971
Factor Arrows
3763,657
Factor Arrows
1744,921
Factor Arrows
291,549

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, 17, 29, 1549

We can check our work by multiplying all of the prime factors together: 3 x 17 x 29 x 1,549 = 2,290,971

This can also be written as 31 x 171 x 291 x 1,5491 = 2,290,971

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


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