Q: What are the prime factors of the number 104,023,430?

 A: 2, 5, 7, 139, 10691

Why are those the prime factors of the number 104,023,430?

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 104,023,430

104,023,430
Factor Arrows
252,011,715
Factor Arrows
510,402,343
Factor Arrows
71,486,049
Factor Arrows
13910,691

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, 5, 7, 139, 10691

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 139 x 10,691 = 104,023,430

This can also be written as 21 x 51 x 71 x 1391 x 10,6911 = 104,023,430

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


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