Q: What are the prime factors of the number 985,520?

 A: 2, 5, 97, 127

Why are those the prime factors of the number 985,520?

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 985,520

985,520
Factor Arrows
2492,760
Factor Arrows
2246,380
Factor Arrows
2123,190
Factor Arrows
261,595
Factor Arrows
512,319
Factor Arrows
97127

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, 5, 97, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 97 x 127 = 985,520

This can also be written as 24 x 51 x 971 x 1271 = 985,520

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


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