Q: What are the prime factors of the number 61,882,832?

 A: 2, 11, 47, 7481

Why are those the prime factors of the number 61,882,832?

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 61,882,832

61,882,832
Factor Arrows
230,941,416
Factor Arrows
215,470,708
Factor Arrows
27,735,354
Factor Arrows
23,867,677
Factor Arrows
11351,607
Factor Arrows
477,481

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, 11, 47, 7481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 47 x 7,481 = 61,882,832

This can also be written as 24 x 111 x 471 x 7,4811 = 61,882,832

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


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