Q: What are the prime factors of the number 22,464,621?

 A: 3, 193, 479

Why are those the prime factors of the number 22,464,621?

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 22,464,621

22,464,621
Factor Arrows
37,488,207
Factor Arrows
32,496,069
Factor Arrows
3832,023
Factor Arrows
3277,341
Factor Arrows
392,447
Factor Arrows
193479

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, 193, 479

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 193 x 479 = 22,464,621

This can also be written as 35 x 1931 x 4791 = 22,464,621

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


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