Q: What are the prime factors of the number 43,505,184?

 A: 2, 3, 59, 7681

Why are those the prime factors of the number 43,505,184?

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 43,505,184

43,505,184
Factor Arrows
221,752,592
Factor Arrows
210,876,296
Factor Arrows
25,438,148
Factor Arrows
22,719,074
Factor Arrows
21,359,537
Factor Arrows
3453,179
Factor Arrows
597,681

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, 59, 7681

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 59 x 7,681 = 43,505,184

This can also be written as 25 x 31 x 591 x 7,6811 = 43,505,184

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


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