Express the prime faCtOrIsolation of number in exPotErtial form : 1600
Answers
Answer:
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 1,600 by 2
1,600 ÷ 2 = 800 - No remainder! 2 is one of the factors!
800 ÷ 2 = 400 - No remainder! 2 is one of the factors!
400 ÷ 2 = 200 - No remainder! 2 is one of the factors!
200 ÷ 2 = 100 - No remainder! 2 is one of the factors!
100 ÷ 2 = 50 - No remainder! 2 is one of the factors!
50 ÷ 2 = 25 - No remainder! 2 is one of the factors!
25 ÷ 2 = 12.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
25 ÷ 3 = 8.3333 - This has a remainder. 3 is not a factor.
25 ÷ 5 = 5 - No remainder! 5 is one of the factors!
5 ÷ 5 = 1 - No remainder! 5 is one of the factors!
The orange divisor(s) above are the prime factors of the number 1,600. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 1,600. It can also be written in exponential form as 26 x 52.
Factor Tree
Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 1,600.
1,600
Factor Arrows
2 800
Factor Arrows
2 400
Factor Arrows
2 200
Factor Arrows
2 100
Factor Arrows
2 50
Factor Arrows
2 25
Factor Arrows
5 5
More Prime Factorization Examples
Answer:
2×2×2×2×2x2×5×5
Step-by-step explanation:
First we do factorisation of 1600 the we get it