Q: What are the prime factors of the number 41,536,366?

 A: 2, 43, 127, 3803

Why are those the prime factors of the number 41,536,366?

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 41,536,366

41,536,366
Factor Arrows
220,768,183
Factor Arrows
43482,981
Factor Arrows
1273,803

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, 43, 127, 3803

We can check our work by multiplying all of the prime factors together: 2 x 43 x 127 x 3,803 = 41,536,366

This can also be written as 21 x 431 x 1271 x 3,8031 = 41,536,366

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


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