Q: What are the prime factors of the number 707,550,633?

 A: 3, 19, 23, 2221

Why are those the prime factors of the number 707,550,633?

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 707,550,633

707,550,633
Factor Arrows
3235,850,211
Factor Arrows
378,616,737
Factor Arrows
326,205,579
Factor Arrows
38,735,193
Factor Arrows
32,911,731
Factor Arrows
3970,577
Factor Arrows
1951,083
Factor Arrows
232,221

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, 19, 23, 2221

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 19 x 23 x 2,221 = 707,550,633

This can also be written as 36 x 191 x 231 x 2,2211 = 707,550,633

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


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