Q: What are the prime factors of the number 41,765,768?

 A: 2, 11, 157, 3023

Why are those the prime factors of the number 41,765,768?

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 41,765,768

41,765,768
Factor Arrows
220,882,884
Factor Arrows
210,441,442
Factor Arrows
25,220,721
Factor Arrows
11474,611
Factor Arrows
1573,023

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, 11, 157, 3023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 157 x 3,023 = 41,765,768

This can also be written as 23 x 111 x 1571 x 3,0231 = 41,765,768

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


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