Q: What are the prime factors of the number 104,424,607?

 A: 7, 101, 127, 1163

Why are those the prime factors of the number 104,424,607?

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 104,424,607

104,424,607
Factor Arrows
714,917,801
Factor Arrows
101147,701
Factor Arrows
1271,163

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, 101, 127, 1163

We can check our work by multiplying all of the prime factors together: 7 x 101 x 127 x 1,163 = 104,424,607

This can also be written as 71 x 1011 x 1271 x 1,1631 = 104,424,607

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


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