Q: What are the prime factors of the number 37,141,328?

 A: 2, 7, 17, 19507

Why are those the prime factors of the number 37,141,328?

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 37,141,328

37,141,328
Factor Arrows
218,570,664
Factor Arrows
29,285,332
Factor Arrows
24,642,666
Factor Arrows
22,321,333
Factor Arrows
7331,619
Factor Arrows
1719,507

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, 7, 17, 19507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 17 x 19,507 = 37,141,328

This can also be written as 24 x 71 x 171 x 19,5071 = 37,141,328

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


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