Q: What are the prime factors of the number 41,505,342?

 A: 2, 3, 31, 37, 163

Why are those the prime factors of the number 41,505,342?

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 41,505,342

41,505,342
Factor Arrows
220,752,671
Factor Arrows
36,917,557
Factor Arrows
31223,147
Factor Arrows
376,031
Factor Arrows
37163

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, 31, 37, 163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 31 x 37 x 37 x 163 = 41,505,342

This can also be written as 21 x 31 x 311 x 372 x 1631 = 41,505,342

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


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