Q: What are the prime factors of the number 104,224,424?

 A: 2, 19, 139, 4933

Why are those the prime factors of the number 104,224,424?

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 104,224,424

104,224,424
Factor Arrows
252,112,212
Factor Arrows
226,056,106
Factor Arrows
213,028,053
Factor Arrows
19685,687
Factor Arrows
1394,933

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, 19, 139, 4933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 139 x 4,933 = 104,224,424

This can also be written as 23 x 191 x 1391 x 4,9331 = 104,224,424

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


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