Q: What are the prime factors of the number 37,050,400?

 A: 2, 5, 29, 1597

Why are those the prime factors of the number 37,050,400?

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 37,050,400

37,050,400
Factor Arrows
218,525,200
Factor Arrows
29,262,600
Factor Arrows
24,631,300
Factor Arrows
22,315,650
Factor Arrows
21,157,825
Factor Arrows
5231,565
Factor Arrows
546,313
Factor Arrows
291,597

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, 29, 1597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29 x 1,597 = 37,050,400

This can also be written as 25 x 52 x 291 x 1,5971 = 37,050,400

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


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