Q: What are the prime factors of the number 66,737,745?

 A: 3, 5, 1483061

Why are those the prime factors of the number 66,737,745?

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 66,737,745

66,737,745
Factor Arrows
322,245,915
Factor Arrows
37,415,305
Factor Arrows
51,483,061

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:

3, 5, 1483061

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 1,483,061 = 66,737,745

This can also be written as 32 x 51 x 1,483,0611 = 66,737,745

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


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