Q: What are the prime factors of the number 483,600?

 A: 2, 3, 5, 13, 31

Why are those the prime factors of the number 483,600?

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 483,600

483,600
Factor Arrows
2241,800
Factor Arrows
2120,900
Factor Arrows
260,450
Factor Arrows
230,225
Factor Arrows
310,075
Factor Arrows
52,015
Factor Arrows
5403
Factor Arrows
1331

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, 13, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 31 = 483,600

This can also be written as 24 x 31 x 52 x 131 x 311 = 483,600

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


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