Q: What are the prime factors of the number 105,013,280?

 A: 2, 5, 656333

Why are those the prime factors of the number 105,013,280?

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 105,013,280

105,013,280
Factor Arrows
252,506,640
Factor Arrows
226,253,320
Factor Arrows
213,126,660
Factor Arrows
26,563,330
Factor Arrows
23,281,665
Factor Arrows
5656,333

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, 656333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 656,333 = 105,013,280

This can also be written as 25 x 51 x 656,3331 = 105,013,280

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


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