Q: What are the prime factors of the number 37,504,134?

 A: 2, 3, 29, 887

Why are those the prime factors of the number 37,504,134?

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 37,504,134

37,504,134
Factor Arrows
218,752,067
Factor Arrows
36,250,689
Factor Arrows
32,083,563
Factor Arrows
3694,521
Factor Arrows
3231,507
Factor Arrows
377,169
Factor Arrows
325,723
Factor Arrows
29887

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, 29, 887

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 29 x 887 = 37,504,134

This can also be written as 21 x 36 x 291 x 8871 = 37,504,134

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


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