Q: What are the prime factors of the number 175,526?

 A: 2, 13, 43, 157

Why are those the prime factors of the number 175,526?

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 175,526

175,526
Factor Arrows
287,763
Factor Arrows
136,751
Factor Arrows
43157

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, 13, 43, 157

We can check our work by multiplying all of the prime factors together: 2 x 13 x 43 x 157 = 175,526

This can also be written as 21 x 131 x 431 x 1571 = 175,526

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


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