Q: What are the prime factors of the number 43,561,536?

 A: 2, 3, 97, 2339

Why are those the prime factors of the number 43,561,536?

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 43,561,536

43,561,536
Factor Arrows
221,780,768
Factor Arrows
210,890,384
Factor Arrows
25,445,192
Factor Arrows
22,722,596
Factor Arrows
21,361,298
Factor Arrows
2680,649
Factor Arrows
3226,883
Factor Arrows
972,339

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, 97, 2339

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 3 x 97 x 2,339 = 43,561,536

This can also be written as 26 x 31 x 971 x 2,3391 = 43,561,536

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


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