Q: What are the prime factors of the number 4,445,440?

 A: 2, 5, 23, 151

Why are those the prime factors of the number 4,445,440?

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 4,445,440

4,445,440
Factor Arrows
22,222,720
Factor Arrows
21,111,360
Factor Arrows
2555,680
Factor Arrows
2277,840
Factor Arrows
2138,920
Factor Arrows
269,460
Factor Arrows
234,730
Factor Arrows
217,365
Factor Arrows
53,473
Factor Arrows
23151

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, 23, 151

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 5 x 23 x 151 = 4,445,440

This can also be written as 28 x 51 x 231 x 1511 = 4,445,440

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


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