Q: What are the prime factors of the number 1,050,600?

 A: 2, 3, 5, 17, 103

Why are those the prime factors of the number 1,050,600?

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 1,050,600

1,050,600
Factor Arrows
2525,300
Factor Arrows
2262,650
Factor Arrows
2131,325
Factor Arrows
343,775
Factor Arrows
58,755
Factor Arrows
51,751
Factor Arrows
17103

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, 17, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 17 x 103 = 1,050,600

This can also be written as 23 x 31 x 52 x 171 x 1031 = 1,050,600

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


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