Q: What are the prime factors of the number 104,441,141?

 A: 7, 67, 83, 2683

Why are those the prime factors of the number 104,441,141?

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 104,441,141

104,441,141
Factor Arrows
714,920,163
Factor Arrows
67222,689
Factor Arrows
832,683

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:

7, 67, 83, 2683

We can check our work by multiplying all of the prime factors together: 7 x 67 x 83 x 2,683 = 104,441,141

This can also be written as 71 x 671 x 831 x 2,6831 = 104,441,141

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


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