Q: What are the prime factors of the number 37,145,706?

 A: 2, 3, 13, 37, 61, 211

Why are those the prime factors of the number 37,145,706?

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 37,145,706

37,145,706
Factor Arrows
218,572,853
Factor Arrows
36,190,951
Factor Arrows
13476,227
Factor Arrows
3712,871
Factor Arrows
61211

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, 13, 37, 61, 211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 37 x 61 x 211 = 37,145,706

This can also be written as 21 x 31 x 131 x 371 x 611 x 2111 = 37,145,706

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


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