Q: What are the prime factors of the number 1,881,120?

 A: 2, 3, 5, 3919

Why are those the prime factors of the number 1,881,120?

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 1,881,120

1,881,120
Factor Arrows
2940,560
Factor Arrows
2470,280
Factor Arrows
2235,140
Factor Arrows
2117,570
Factor Arrows
258,785
Factor Arrows
319,595
Factor Arrows
53,919

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, 3919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 3,919 = 1,881,120

This can also be written as 25 x 31 x 51 x 3,9191 = 1,881,120

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


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