Q: What are the prime factors of the number 10,406,500?

 A: 2, 5, 13, 1601

Why are those the prime factors of the number 10,406,500?

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 10,406,500

10,406,500
Factor Arrows
25,203,250
Factor Arrows
22,601,625
Factor Arrows
5520,325
Factor Arrows
5104,065
Factor Arrows
520,813
Factor Arrows
131,601

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, 13, 1601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 13 x 1,601 = 10,406,500

This can also be written as 22 x 53 x 131 x 1,6011 = 10,406,500

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


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