Q: What are the prime factors of the number 3,743,072?

 A: 2, 53, 2207

Why are those the prime factors of the number 3,743,072?

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 3,743,072

3,743,072
Factor Arrows
21,871,536
Factor Arrows
2935,768
Factor Arrows
2467,884
Factor Arrows
2233,942
Factor Arrows
2116,971
Factor Arrows
532,207

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, 53, 2207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 53 x 2,207 = 3,743,072

This can also be written as 25 x 531 x 2,2071 = 3,743,072

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


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