Q: What are the prime factors of the number 414,330,244?

 A: 2, 89, 1163849

Why are those the prime factors of the number 414,330,244?

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 414,330,244

414,330,244
Factor Arrows
2207,165,122
Factor Arrows
2103,582,561
Factor Arrows
891,163,849

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, 89, 1163849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 89 x 1,163,849 = 414,330,244

This can also be written as 22 x 891 x 1,163,8491 = 414,330,244

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


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