Q: What are the prime factors of the number 1,991,960?

 A: 2, 5, 19, 2621

Why are those the prime factors of the number 1,991,960?

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 1,991,960

1,991,960
Factor Arrows
2995,980
Factor Arrows
2497,990
Factor Arrows
2248,995
Factor Arrows
549,799
Factor Arrows
192,621

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, 19, 2621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 2,621 = 1,991,960

This can also be written as 23 x 51 x 191 x 2,6211 = 1,991,960

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


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