Q: What are the prime factors of the number 43,662,885?

 A: 3, 5, 7, 17, 61, 401

Why are those the prime factors of the number 43,662,885?

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 43,662,885

43,662,885
Factor Arrows
314,554,295
Factor Arrows
52,910,859
Factor Arrows
7415,837
Factor Arrows
1724,461
Factor Arrows
61401

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:

3, 5, 7, 17, 61, 401

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 17 x 61 x 401 = 43,662,885

This can also be written as 31 x 51 x 71 x 171 x 611 x 4011 = 43,662,885

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


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