Q: What are the prime factors of the number 22,802,297?

 A: 7, 9497

Why are those the prime factors of the number 22,802,297?

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 22,802,297

22,802,297
Factor Arrows
73,257,471
Factor Arrows
7465,353
Factor Arrows
766,479
Factor Arrows
79,497

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:

7, 9497

We can check our work by multiplying all of the prime factors together: 7 x 7 x 7 x 7 x 9,497 = 22,802,297

This can also be written as 74 x 9,4971 = 22,802,297

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


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