Q: What are the prime factors of the number 41,621,115?

 A: 3, 5, 19, 37, 3947

Why are those the prime factors of the number 41,621,115?

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 41,621,115

41,621,115
Factor Arrows
313,873,705
Factor Arrows
52,774,741
Factor Arrows
19146,039
Factor Arrows
373,947

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, 19, 37, 3947

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 37 x 3,947 = 41,621,115

This can also be written as 31 x 51 x 191 x 371 x 3,9471 = 41,621,115

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


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