Q: What are the prime factors of the number 37,725,400?

 A: 2, 5, 53, 3559

Why are those the prime factors of the number 37,725,400?

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 37,725,400

37,725,400
Factor Arrows
218,862,700
Factor Arrows
29,431,350
Factor Arrows
24,715,675
Factor Arrows
5943,135
Factor Arrows
5188,627
Factor Arrows
533,559

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, 53, 3559

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 53 x 3,559 = 37,725,400

This can also be written as 23 x 52 x 531 x 3,5591 = 37,725,400

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


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