Q: What are the prime factors of the number 113,143,200?

 A: 2, 3, 5, 47143

Why are those the prime factors of the number 113,143,200?

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 113,143,200

113,143,200
Factor Arrows
256,571,600
Factor Arrows
228,285,800
Factor Arrows
214,142,900
Factor Arrows
27,071,450
Factor Arrows
23,535,725
Factor Arrows
31,178,575
Factor Arrows
5235,715
Factor Arrows
547,143

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, 47143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 47,143 = 113,143,200

This can also be written as 25 x 31 x 52 x 47,1431 = 113,143,200

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


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