Q: What are the prime factors of the number 750,230?

 A: 2, 5, 13, 29, 199

Why are those the prime factors of the number 750,230?

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 750,230

750,230
Factor Arrows
2375,115
Factor Arrows
575,023
Factor Arrows
135,771
Factor Arrows
29199

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, 5, 13, 29, 199

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 29 x 199 = 750,230

This can also be written as 21 x 51 x 131 x 291 x 1991 = 750,230

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


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