Q: What are the prime factors of the number 7,451,968?

 A: 2, 116437

Why are those the prime factors of the number 7,451,968?

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 7,451,968

7,451,968
Factor Arrows
23,725,984
Factor Arrows
21,862,992
Factor Arrows
2931,496
Factor Arrows
2465,748
Factor Arrows
2232,874
Factor Arrows
2116,437

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, 116437

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 116,437 = 7,451,968

This can also be written as 26 x 116,4371 = 7,451,968

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


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