Q: What are the prime factors of the number 750,690?

 A: 2, 3, 5, 19, 439

Why are those the prime factors of the number 750,690?

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 750,690

750,690
Factor Arrows
2375,345
Factor Arrows
3125,115
Factor Arrows
341,705
Factor Arrows
58,341
Factor Arrows
19439

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:

2, 3, 5, 19, 439

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 19 x 439 = 750,690

This can also be written as 21 x 32 x 51 x 191 x 4391 = 750,690

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


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