Q: What are the prime factors of the number 3,797,532?

 A: 2, 3, 37, 2851

Why are those the prime factors of the number 3,797,532?

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 3,797,532

3,797,532
Factor Arrows
21,898,766
Factor Arrows
2949,383
Factor Arrows
3316,461
Factor Arrows
3105,487
Factor Arrows
372,851

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, 37, 2851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 37 x 2,851 = 3,797,532

This can also be written as 22 x 32 x 371 x 2,8511 = 3,797,532

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


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