Q: What are the prime factors of the number 16,040,120?

 A: 2, 5, 359, 1117

Why are those the prime factors of the number 16,040,120?

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 16,040,120

16,040,120
Factor Arrows
28,020,060
Factor Arrows
24,010,030
Factor Arrows
22,005,015
Factor Arrows
5401,003
Factor Arrows
3591,117

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, 359, 1117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 359 x 1,117 = 16,040,120

This can also be written as 23 x 51 x 3591 x 1,1171 = 16,040,120

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


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