Q: What are the prime factors of the number 37,885,482?

 A: 2, 3, 233861

Why are those the prime factors of the number 37,885,482?

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 37,885,482

37,885,482
Factor Arrows
218,942,741
Factor Arrows
36,314,247
Factor Arrows
32,104,749
Factor Arrows
3701,583
Factor Arrows
3233,861

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, 233861

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 233,861 = 37,885,482

This can also be written as 21 x 34 x 233,8611 = 37,885,482

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


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