Q: What are the prime factors of the number 131,103,000?

 A: 2, 3, 5, 7, 2081

Why are those the prime factors of the number 131,103,000?

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 131,103,000

131,103,000
Factor Arrows
265,551,500
Factor Arrows
232,775,750
Factor Arrows
216,387,875
Factor Arrows
35,462,625
Factor Arrows
31,820,875
Factor Arrows
5364,175
Factor Arrows
572,835
Factor Arrows
514,567
Factor Arrows
72,081

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, 2081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 2,081 = 131,103,000

This can also be written as 23 x 32 x 53 x 71 x 2,0811 = 131,103,000

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


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