Q: What are the prime factors of the number 545,100?

 A: 2, 3, 5, 23, 79

Why are those the prime factors of the number 545,100?

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 545,100

545,100
Factor Arrows
2272,550
Factor Arrows
2136,275
Factor Arrows
345,425
Factor Arrows
59,085
Factor Arrows
51,817
Factor Arrows
2379

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, 23, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 23 x 79 = 545,100

This can also be written as 22 x 31 x 52 x 231 x 791 = 545,100

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


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