Q: What are the prime factors of the number 22,727,481?

 A: 3, 7, 109, 9929

Why are those the prime factors of the number 22,727,481?

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 22,727,481

22,727,481
Factor Arrows
37,575,827
Factor Arrows
71,082,261
Factor Arrows
1099,929

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, 7, 109, 9929

We can check our work by multiplying all of the prime factors together: 3 x 7 x 109 x 9,929 = 22,727,481

This can also be written as 31 x 71 x 1091 x 9,9291 = 22,727,481

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


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