Q: What are the prime factors of the number 61,630,713?

 A: 3, 29, 26237

Why are those the prime factors of the number 61,630,713?

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 61,630,713

61,630,713
Factor Arrows
320,543,571
Factor Arrows
36,847,857
Factor Arrows
32,282,619
Factor Arrows
3760,873
Factor Arrows
2926,237

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, 29, 26237

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 29 x 26,237 = 61,630,713

This can also be written as 34 x 291 x 26,2371 = 61,630,713

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


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