Q: What are the prime factors of the number 982,144?

 A: 2, 7673

Why are those the prime factors of the number 982,144?

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 982,144

982,144
Factor Arrows
2491,072
Factor Arrows
2245,536
Factor Arrows
2122,768
Factor Arrows
261,384
Factor Arrows
230,692
Factor Arrows
215,346
Factor Arrows
27,673

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, 7673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7,673 = 982,144

This can also be written as 27 x 7,6731 = 982,144

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


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