Q: What are the prime factors of the number 61,353,512?

 A: 2, 11, 23, 30313

Why are those the prime factors of the number 61,353,512?

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 61,353,512

61,353,512
Factor Arrows
230,676,756
Factor Arrows
215,338,378
Factor Arrows
27,669,189
Factor Arrows
11697,199
Factor Arrows
2330,313

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, 23, 30313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 23 x 30,313 = 61,353,512

This can also be written as 23 x 111 x 231 x 30,3131 = 61,353,512

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


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