Q: What are the prime factors of the number 61,169,688?

 A: 2, 3, 283193

Why are those the prime factors of the number 61,169,688?

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 61,169,688

61,169,688
Factor Arrows
230,584,844
Factor Arrows
215,292,422
Factor Arrows
27,646,211
Factor Arrows
32,548,737
Factor Arrows
3849,579
Factor Arrows
3283,193

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, 283193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 283,193 = 61,169,688

This can also be written as 23 x 33 x 283,1931 = 61,169,688

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


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