Q: What are the prime factors of the number 987,056?

 A: 2, 7, 1259

Why are those the prime factors of the number 987,056?

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 987,056

987,056
Factor Arrows
2493,528
Factor Arrows
2246,764
Factor Arrows
2123,382
Factor Arrows
261,691
Factor Arrows
78,813
Factor Arrows
71,259

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, 7, 1259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 1,259 = 987,056

This can also be written as 24 x 72 x 1,2591 = 987,056

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


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