Q: What are the prime factors of the number 1,445,968?

 A: 2, 90373

Why are those the prime factors of the number 1,445,968?

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 1,445,968

1,445,968
Factor Arrows
2722,984
Factor Arrows
2361,492
Factor Arrows
2180,746
Factor Arrows
290,373

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, 90373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 90,373 = 1,445,968

This can also be written as 24 x 90,3731 = 1,445,968

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


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