Q: What are the prime factors of the number 7,509,456?

 A: 2, 3, 17383

Why are those the prime factors of the number 7,509,456?

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 7,509,456

7,509,456
Factor Arrows
23,754,728
Factor Arrows
21,877,364
Factor Arrows
2938,682
Factor Arrows
2469,341
Factor Arrows
3156,447
Factor Arrows
352,149
Factor Arrows
317,383

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, 17383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17,383 = 7,509,456

This can also be written as 24 x 33 x 17,3831 = 7,509,456

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


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