Q: What are the prime factors of the number 129,052,200?

 A: 2, 3, 5, 215087

Why are those the prime factors of the number 129,052,200?

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 129,052,200

129,052,200
Factor Arrows
264,526,100
Factor Arrows
232,263,050
Factor Arrows
216,131,525
Factor Arrows
35,377,175
Factor Arrows
51,075,435
Factor Arrows
5215,087

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, 215087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 215,087 = 129,052,200

This can also be written as 23 x 31 x 52 x 215,0871 = 129,052,200

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


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