Q: What are the prime factors of the number 747,544?

 A: 2, 7, 1907

Why are those the prime factors of the number 747,544?

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 747,544

747,544
Factor Arrows
2373,772
Factor Arrows
2186,886
Factor Arrows
293,443
Factor Arrows
713,349
Factor Arrows
71,907

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, 7, 1907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 1,907 = 747,544

This can also be written as 23 x 72 x 1,9071 = 747,544

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


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