Q: What are the prime factors of the number 733,836?

 A: 2, 3, 61153

Why are those the prime factors of the number 733,836?

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 733,836

733,836
Factor Arrows
2366,918
Factor Arrows
2183,459
Factor Arrows
361,153

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, 61153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 61,153 = 733,836

This can also be written as 22 x 31 x 61,1531 = 733,836

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


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