Q: What are the prime factors of the number 41,100,237?

 A: 3, 17, 151, 593

Why are those the prime factors of the number 41,100,237?

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 41,100,237

41,100,237
Factor Arrows
313,700,079
Factor Arrows
34,566,693
Factor Arrows
31,522,231
Factor Arrows
1789,543
Factor Arrows
151593

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, 17, 151, 593

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 17 x 151 x 593 = 41,100,237

This can also be written as 33 x 171 x 1511 x 5931 = 41,100,237

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


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