Q: What are the prime factors of the number 160,750?

 A: 2, 5, 643

Why are those the prime factors of the number 160,750?

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 160,750

160,750
Factor Arrows
280,375
Factor Arrows
516,075
Factor Arrows
53,215
Factor Arrows
5643

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, 643

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 643 = 160,750

This can also be written as 21 x 53 x 6431 = 160,750

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


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