Q: What are the prime factors of the number 943,537?

 A: 7, 37, 3643

Why are those the prime factors of the number 943,537?

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 943,537

943,537
Factor Arrows
7134,791
Factor Arrows
373,643

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:

7, 37, 3643

We can check our work by multiplying all of the prime factors together: 7 x 37 x 3,643 = 943,537

This can also be written as 71 x 371 x 3,6431 = 943,537

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


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