Q: What are the prime factors of the number 980,580?

 A: 2, 3, 5, 59, 277

Why are those the prime factors of the number 980,580?

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 980,580

980,580
Factor Arrows
2490,290
Factor Arrows
2245,145
Factor Arrows
381,715
Factor Arrows
516,343
Factor Arrows
59277

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, 59, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 59 x 277 = 980,580

This can also be written as 22 x 31 x 51 x 591 x 2771 = 980,580

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


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