Q: What are the prime factors of the number 61,627,236?

 A: 2, 3, 11, 42443

Why are those the prime factors of the number 61,627,236?

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 61,627,236

61,627,236
Factor Arrows
230,813,618
Factor Arrows
215,406,809
Factor Arrows
35,135,603
Factor Arrows
11466,873
Factor Arrows
1142,443

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, 11, 42443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 42,443 = 61,627,236

This can also be written as 22 x 31 x 112 x 42,4431 = 61,627,236

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


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