Q: What are the prime factors of the number 22,075,317?

 A: 3, 11, 31, 7193

Why are those the prime factors of the number 22,075,317?

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 22,075,317

22,075,317
Factor Arrows
37,358,439
Factor Arrows
32,452,813
Factor Arrows
11222,983
Factor Arrows
317,193

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, 31, 7193

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 31 x 7,193 = 22,075,317

This can also be written as 32 x 111 x 311 x 7,1931 = 22,075,317

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


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