Q: What are the prime factors of the number 61,834,828?

 A: 2, 11, 109, 12893

Why are those the prime factors of the number 61,834,828?

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 61,834,828

61,834,828
Factor Arrows
230,917,414
Factor Arrows
215,458,707
Factor Arrows
111,405,337
Factor Arrows
10912,893

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, 109, 12893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 109 x 12,893 = 61,834,828

This can also be written as 22 x 111 x 1091 x 12,8931 = 61,834,828

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


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