Q: What are the prime factors of the number 618,532,032?

 A: 2, 3, 47, 68543

Why are those the prime factors of the number 618,532,032?

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 618,532,032

618,532,032
Factor Arrows
2309,266,016
Factor Arrows
2154,633,008
Factor Arrows
277,316,504
Factor Arrows
238,658,252
Factor Arrows
219,329,126
Factor Arrows
29,664,563
Factor Arrows
33,221,521
Factor Arrows
4768,543

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, 47, 68543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 68,543 = 618,532,032

This can also be written as 26 x 31 x 471 x 68,5431 = 618,532,032

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


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