Q: What are the prime factors of the number 41,155,464?

 A: 2, 3, 7, 23, 10651

Why are those the prime factors of the number 41,155,464?

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 41,155,464

41,155,464
Factor Arrows
220,577,732
Factor Arrows
210,288,866
Factor Arrows
25,144,433
Factor Arrows
31,714,811
Factor Arrows
7244,973
Factor Arrows
2310,651

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, 7, 23, 10651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 23 x 10,651 = 41,155,464

This can also be written as 23 x 31 x 71 x 231 x 10,6511 = 41,155,464

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


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