Q: What are the prime factors of the number 2,924,361?

 A: 3, 11, 109, 271

Why are those the prime factors of the number 2,924,361?

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 2,924,361

2,924,361
Factor Arrows
3974,787
Factor Arrows
3324,929
Factor Arrows
1129,539
Factor Arrows
109271

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, 11, 109, 271

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 109 x 271 = 2,924,361

This can also be written as 32 x 111 x 1091 x 2711 = 2,924,361

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


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