Q: What are the prime factors of the number 175,171,140?

 A: 2, 3, 5, 324391

Why are those the prime factors of the number 175,171,140?

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 175,171,140

175,171,140
Factor Arrows
287,585,570
Factor Arrows
243,792,785
Factor Arrows
314,597,595
Factor Arrows
34,865,865
Factor Arrows
31,621,955
Factor Arrows
5324,391

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, 324391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 324,391 = 175,171,140

This can also be written as 22 x 33 x 51 x 324,3911 = 175,171,140

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


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