Express 16380 in exponential form
Answers
Answer:
It can also be written in exponential form as 22 x 32 x 51 x 71 x 131.
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 16,380 by 2
16,380 ÷ 2 = 8,190 - No remainder! 2 is one of the factors!
8,190 ÷ 2 = 4,095 - No remainder! 2 is one of the factors!
4,095 ÷ 2 = 2,047.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
4,095 ÷ 3 = 1,365 - No remainder! 3 is one of the factors!
1,365 ÷ 3 = 455 - No remainder! 3 is one of the factors!
455 ÷ 3 = 151.6667 - There is a remainder. We can't divide by 3 evenly anymore. Let's try the next prime number
455 ÷ 5 = 91 - No remainder! 5 is one of the factors!
91 ÷ 5 = 18.2 - There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number
91 ÷ 7 = 13 - No remainder! 7 is one of the factors!
13 ÷ 7 = 1.8571 - There is a remainder. We can't divide by 7 evenly anymore. Let's try the next prime number
13 ÷ 11 = 1.1818 - This has a remainder. 11 is not a factor.
13 ÷ 13 = 1 - No remainder! 13 is one of the factors!
The Bold divisor(s) above are the prime factors of the number 16,380. If we put all of it together we have the factors 2 x 2 x 3 x 3 x 5 x 7 x 13 = 16,380. It can also be written in exponential form as 22 x 32 x 51 x 71 x 131.