Q: What are the prime factors of the number 743,604?

 A: 2, 3, 61967

Why are those the prime factors of the number 743,604?

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 743,604

743,604
Factor Arrows
2371,802
Factor Arrows
2185,901
Factor Arrows
361,967

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, 61967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 61,967 = 743,604

This can also be written as 22 x 31 x 61,9671 = 743,604

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


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