Q: What are the prime factors of the number 982,176?

 A: 2, 3, 13, 787

Why are those the prime factors of the number 982,176?

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 982,176

982,176
Factor Arrows
2491,088
Factor Arrows
2245,544
Factor Arrows
2122,772
Factor Arrows
261,386
Factor Arrows
230,693
Factor Arrows
310,231
Factor Arrows
13787

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, 13, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 13 x 787 = 982,176

This can also be written as 25 x 31 x 131 x 7871 = 982,176

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


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