Q: What are the prime factors of the number 984,522?

 A: 2, 3, 7, 11, 2131

Why are those the prime factors of the number 984,522?

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 984,522

984,522
Factor Arrows
2492,261
Factor Arrows
3164,087
Factor Arrows
723,441
Factor Arrows
112,131

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, 7, 11, 2131

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 11 x 2,131 = 984,522

This can also be written as 21 x 31 x 71 x 111 x 2,1311 = 984,522

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


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