Q: What are the prime factors of the number 2,447,360?

 A: 2, 5, 239

Why are those the prime factors of the number 2,447,360?

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 2,447,360

2,447,360
Factor Arrows
21,223,680
Factor Arrows
2611,840
Factor Arrows
2305,920
Factor Arrows
2152,960
Factor Arrows
276,480
Factor Arrows
238,240
Factor Arrows
219,120
Factor Arrows
29,560
Factor Arrows
24,780
Factor Arrows
22,390
Factor Arrows
21,195
Factor Arrows
5239

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, 239

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 2 x 2 x 2 x 2 x 2 x 5 x 239 = 2,447,360

This can also be written as 211 x 51 x 2391 = 2,447,360

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


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