Q: What are the prime factors of the number 41,050,764?

 A: 2, 3, 107, 10657

Why are those the prime factors of the number 41,050,764?

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 41,050,764

41,050,764
Factor Arrows
220,525,382
Factor Arrows
210,262,691
Factor Arrows
33,420,897
Factor Arrows
31,140,299
Factor Arrows
10710,657

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, 107, 10657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 107 x 10,657 = 41,050,764

This can also be written as 22 x 32 x 1071 x 10,6571 = 41,050,764

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


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