Q: What are the prime factors of the number 61,263,036?

 A: 2, 3, 17, 100103

Why are those the prime factors of the number 61,263,036?

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 61,263,036

61,263,036
Factor Arrows
230,631,518
Factor Arrows
215,315,759
Factor Arrows
35,105,253
Factor Arrows
31,701,751
Factor Arrows
17100,103

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, 17, 100103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17 x 100,103 = 61,263,036

This can also be written as 22 x 32 x 171 x 100,1031 = 61,263,036

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


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