Q: What are the prime factors of the number 43,030,500?

 A: 2, 3, 5, 28687

Why are those the prime factors of the number 43,030,500?

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 43,030,500

43,030,500
Factor Arrows
221,515,250
Factor Arrows
210,757,625
Factor Arrows
33,585,875
Factor Arrows
5717,175
Factor Arrows
5143,435
Factor Arrows
528,687

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, 5, 28687

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 28,687 = 43,030,500

This can also be written as 22 x 31 x 53 x 28,6871 = 43,030,500

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


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