Q: What are the prime factors of the number 41,011,515?

 A: 3, 5, 131, 773

Why are those the prime factors of the number 41,011,515?

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 41,011,515

41,011,515
Factor Arrows
313,670,505
Factor Arrows
34,556,835
Factor Arrows
31,518,945
Factor Arrows
3506,315
Factor Arrows
5101,263
Factor Arrows
131773

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, 5, 131, 773

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 131 x 773 = 41,011,515

This can also be written as 34 x 51 x 1311 x 7731 = 41,011,515

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


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