Q: What are the prime factors of the number 104,560,506?

 A: 2, 3, 17, 341701

Why are those the prime factors of the number 104,560,506?

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 104,560,506

104,560,506
Factor Arrows
252,280,253
Factor Arrows
317,426,751
Factor Arrows
35,808,917
Factor Arrows
17341,701

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, 3, 17, 341701

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 341,701 = 104,560,506

This can also be written as 21 x 32 x 171 x 341,7011 = 104,560,506

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


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