Q: What are the prime factors of the number 1,545,120?

 A: 2, 3, 5, 29, 37

Why are those the prime factors of the number 1,545,120?

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 1,545,120

1,545,120
Factor Arrows
2772,560
Factor Arrows
2386,280
Factor Arrows
2193,140
Factor Arrows
296,570
Factor Arrows
248,285
Factor Arrows
316,095
Factor Arrows
35,365
Factor Arrows
51,073
Factor Arrows
2937

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, 29, 37

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 3 x 5 x 29 x 37 = 1,545,120

This can also be written as 25 x 32 x 51 x 291 x 371 = 1,545,120

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


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