Q: What are the prime factors of the number 22,417,155?

 A: 3, 5, 55351

Why are those the prime factors of the number 22,417,155?

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 22,417,155

22,417,155
Factor Arrows
37,472,385
Factor Arrows
32,490,795
Factor Arrows
3830,265
Factor Arrows
3276,755
Factor Arrows
555,351

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, 5, 55351

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 55,351 = 22,417,155

This can also be written as 34 x 51 x 55,3511 = 22,417,155

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


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