Q: What are the prime factors of the number 158,960?

 A: 2, 5, 1987

Why are those the prime factors of the number 158,960?

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 158,960

158,960
Factor Arrows
279,480
Factor Arrows
239,740
Factor Arrows
219,870
Factor Arrows
29,935
Factor Arrows
51,987

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, 1987

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,987 = 158,960

This can also be written as 24 x 51 x 1,9871 = 158,960

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


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