Q: What are the prime factors of the number 1,603,520?

 A: 2, 5, 5011

Why are those the prime factors of the number 1,603,520?

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 1,603,520

1,603,520
Factor Arrows
2801,760
Factor Arrows
2400,880
Factor Arrows
2200,440
Factor Arrows
2100,220
Factor Arrows
250,110
Factor Arrows
225,055
Factor Arrows
55,011

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, 5011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5,011 = 1,603,520

This can also be written as 26 x 51 x 5,0111 = 1,603,520

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


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