Q: What are the prime factors of the number 10,145,100?

 A: 2, 3, 5, 7, 4831

Why are those the prime factors of the number 10,145,100?

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 10,145,100

10,145,100
Factor Arrows
25,072,550
Factor Arrows
22,536,275
Factor Arrows
3845,425
Factor Arrows
5169,085
Factor Arrows
533,817
Factor Arrows
74,831

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, 5, 7, 4831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 7 x 4,831 = 10,145,100

This can also be written as 22 x 31 x 52 x 71 x 4,8311 = 10,145,100

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


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