Q: What are the prime factors of the number 663,235,600?

 A: 2, 5, 1658089

Why are those the prime factors of the number 663,235,600?

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 663,235,600

663,235,600
Factor Arrows
2331,617,800
Factor Arrows
2165,808,900
Factor Arrows
282,904,450
Factor Arrows
241,452,225
Factor Arrows
58,290,445
Factor Arrows
51,658,089

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, 5, 1658089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 1,658,089 = 663,235,600

This can also be written as 24 x 52 x 1,658,0891 = 663,235,600

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


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