Q: What are the prime factors of the number 128,866,720?

 A: 2, 5, 29, 27773

Why are those the prime factors of the number 128,866,720?

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 128,866,720

128,866,720
Factor Arrows
264,433,360
Factor Arrows
232,216,680
Factor Arrows
216,108,340
Factor Arrows
28,054,170
Factor Arrows
24,027,085
Factor Arrows
5805,417
Factor Arrows
2927,773

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, 29, 27773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 29 x 27,773 = 128,866,720

This can also be written as 25 x 51 x 291 x 27,7731 = 128,866,720

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


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