Find the square root by prime factorization method question 26569
Answers
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 26,569 by 2
26,569 ÷ 2 = 13,284.5 - This has a remainder. Let's try another prime number.
26,569 ÷ 3 = 8,856.3333 - This has a remainder. Let's try another prime number.
26,569 ÷ 5 = 5,313.8 - This has a remainder. Let's try another prime number.
...
Keep trying increasingly larger numbers until you find one that divides evenly.
...
26,569 ÷ 163 = 163 - No remainder! 163 is one of the factors!
163 ÷ 163 = 1 - No remainder! 163 is one of the factors!
The orange divisor(s) above are the prime factors of the number 26,569. If we put all of it together we have the factors 163 x 163 = 26,569. It can also be written in exponential form as 1632.
More Prime Factorization Examples
26,567 26,568 26,570 26,571
311 x 8571 23 x 34 x 411 21 x 51 x 2,6571 31 x 171 x 5211
