Q: What are the prime factors of the number 43,676,275?

 A: 5, 41, 42611

Why are those the prime factors of the number 43,676,275?

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 43,676,275

43,676,275
Factor Arrows
58,735,255
Factor Arrows
51,747,051
Factor Arrows
4142,611

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:

5, 41, 42611

We can check our work by multiplying all of the prime factors together: 5 x 5 x 41 x 42,611 = 43,676,275

This can also be written as 52 x 411 x 42,6111 = 43,676,275

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


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