Q: What are the prime factors of the number 61,947,888?

 A: 2, 3, 1290581

Why are those the prime factors of the number 61,947,888?

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 61,947,888

61,947,888
Factor Arrows
230,973,944
Factor Arrows
215,486,972
Factor Arrows
27,743,486
Factor Arrows
23,871,743
Factor Arrows
31,290,581

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, 1290581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,290,581 = 61,947,888

This can also be written as 24 x 31 x 1,290,5811 = 61,947,888

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


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