Q: What are the prime factors of the number 1,868,480?

 A: 2, 5, 5839

Why are those the prime factors of the number 1,868,480?

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 1,868,480

1,868,480
Factor Arrows
2934,240
Factor Arrows
2467,120
Factor Arrows
2233,560
Factor Arrows
2116,780
Factor Arrows
258,390
Factor Arrows
229,195
Factor Arrows
55,839

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, 5839

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 5,839 = 1,868,480

This can also be written as 26 x 51 x 5,8391 = 1,868,480

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


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