Q: What are the prime factors of the number 436,231,756?

 A: 2, 733, 148783

Why are those the prime factors of the number 436,231,756?

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 436,231,756

436,231,756
Factor Arrows
2218,115,878
Factor Arrows
2109,057,939
Factor Arrows
733148,783

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, 733, 148783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 733 x 148,783 = 436,231,756

This can also be written as 22 x 7331 x 148,7831 = 436,231,756

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


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