square root of 276676 by prime factorization with steps
Answers
Answer:
The orange divisor(s) above are the prime factors of the number 276,676. If we put all of it together we have the factors 2 x 2 x 263 x 263 = 276,676. It can also be written in exponential form as 22 x 2632.
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 276,676 by 2
276,676 ÷ 2 = 138,338 - No remainder! 2 is one of the factors!
138,338 ÷ 2 = 69,169 - No remainder! 2 is one of the factors!
69,169 ÷ 2 = 34,584.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
69,169 ÷ 3 = 23,056.3333 - This has a remainder. 3 is not a factor.
69,169 ÷ 5 = 13,833.8 - This has a remainder. 5 is not a factor.
69,169 ÷ 7 = 9,881.2857 - This has a remainder. 7 is not a factor.
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Keep trying increasingly larger numbers until you find one that divides evenly.
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69,169 ÷ 263 = 263 - No remainder! 263 is one of the factors!
263 ÷ 263 = 1 - No remainder! 263 is one of the factors!
The orange divisor(s) above are the prime factors of the number 276,676. If we put all of it together we have the factors 2 x 2 x 263 x 263 = 276,676. It can also be written in exponential form as 22 x 2632.