Q: What are the prime factors of the number 204,340,620?

 A: 2, 3, 5, 11, 67, 4621

Why are those the prime factors of the number 204,340,620?

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 204,340,620

204,340,620
Factor Arrows
2102,170,310
Factor Arrows
251,085,155
Factor Arrows
317,028,385
Factor Arrows
53,405,677
Factor Arrows
11309,607
Factor Arrows
674,621

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, 5, 11, 67, 4621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 67 x 4,621 = 204,340,620

This can also be written as 22 x 31 x 51 x 111 x 671 x 4,6211 = 204,340,620

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


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