Q: What are the prime factors of the number 260,988?

 A: 2, 3, 7, 13, 239

Why are those the prime factors of the number 260,988?

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 260,988

260,988
Factor Arrows
2130,494
Factor Arrows
265,247
Factor Arrows
321,749
Factor Arrows
73,107
Factor Arrows
13239

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, 7, 13, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 239 = 260,988

This can also be written as 22 x 31 x 71 x 131 x 2391 = 260,988

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


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