Q: What are the prime factors of the number 732,608?

 A: 2, 11447

Why are those the prime factors of the number 732,608?

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 732,608

732,608
Factor Arrows
2366,304
Factor Arrows
2183,152
Factor Arrows
291,576
Factor Arrows
245,788
Factor Arrows
222,894
Factor Arrows
211,447

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, 11447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11,447 = 732,608

This can also be written as 26 x 11,4471 = 732,608

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


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