Q: What are the prime factors of the number 613,032,564?

 A: 2, 3, 31, 1647937

Why are those the prime factors of the number 613,032,564?

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 613,032,564

613,032,564
Factor Arrows
2306,516,282
Factor Arrows
2153,258,141
Factor Arrows
351,086,047
Factor Arrows
311,647,937

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, 31, 1647937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 1,647,937 = 613,032,564

This can also be written as 22 x 31 x 311 x 1,647,9371 = 613,032,564

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


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