Q: What are the prime factors of the number 100,002,500?

 A: 2, 5, 13, 17, 181

Why are those the prime factors of the number 100,002,500?

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 100,002,500

100,002,500
Factor Arrows
250,001,250
Factor Arrows
225,000,625
Factor Arrows
55,000,125
Factor Arrows
51,000,025
Factor Arrows
5200,005
Factor Arrows
540,001
Factor Arrows
133,077
Factor Arrows
17181

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, 17, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 5 x 13 x 17 x 181 = 100,002,500

This can also be written as 22 x 54 x 131 x 171 x 1811 = 100,002,500

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


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