Q: What are the prime factors of the number 984,672?

 A: 2, 3, 13, 263

Why are those the prime factors of the number 984,672?

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 984,672

984,672
Factor Arrows
2492,336
Factor Arrows
2246,168
Factor Arrows
2123,084
Factor Arrows
261,542
Factor Arrows
230,771
Factor Arrows
310,257
Factor Arrows
33,419
Factor Arrows
13263

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, 263

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 3 x 13 x 263 = 984,672

This can also be written as 25 x 32 x 131 x 2631 = 984,672

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


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