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Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the original number. The factors will be paired. Take one out of of each pair.
Example: 900
The square root of 900 is 30.
The prime factorization of 30 is 2 x 3 x 5
or
The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
The square root will be 2 x 3 x 5, or 30
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What is the prime factorization of the square root of 99856?
The prime factorisation of the square root of 99856 is 2*2*79.
How do you get the prime factorization of 90?
Prime Factorization of 90To find the prime factorization of 90, start with the lowest prime number that will divide into 90. That number is 2. 2 times 45 equals 90. 2 is a number in the prime factorization of 90. Next, find the lowest prime number that will divide into 45. The number is 3, and 3 times15 equals 45. 3 is one of the prime factors, so now you have 2 times 3 times 15. 15 is not a prime number, and the lowest prime number that will divide into 15. 3 times 5 is 15. You'll notice that both 3 and 5 are prime numbers, so the prime factorization of 90 is 2 X 3 X 3 X 5. Check your answer to make sure it is correct and you're done.
What is the square root of 256 evaluated using prime factorization?
The prime factorization of 256 is 28. The square root is 24 or 16.
What is the prime factorization of 1369?
37 x 37 = 1369 The square root is 37.
Is there a prime factor greater than the square root of an integer?
No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.
What is the prime factorization of the square root 512?
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
What is the prime factorization of the square root of 99856?
The prime factorisation of the square root of 99856 is 2*2*79.
What is the prime facotization of the square root of 18?
Since the square root of 18 is not an integer, it doesn't have a prime factorization.
What is the prime factorization of the square root for 10000 using exponents?
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
What is the square root of 11025 by prime factorization?
The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7
What are the prime factorizations of 5184 using exponents?
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
What is the square root of 729 using prime factorization method with steps?
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
What is the square factorization of 36?
The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factorization of the square root of 36 is 2 x 3, or 6.
What is the prime factorization of the square root of 225?
3 x 5 = 15
Determine the square root of 1296 show your prime factorization?
The prime factorization of 1296 is 2^4 x 3^4. That makes the square root 2^2 x 3^2 or 36, -36
What is the square root of 441 by prime factorization?
As a product of its prime factors: 3*3*7*7 = 441 Its square root is 21 or as 3*7 as the product of its prime factors
What is the square root of 7744 by prime factorization?
The prime factorization of 7744 is: 2^6 * 11^2The square root of any number raised to a power is:(xn)1/2 .... which results in xn/2So to find the square root of 7744 we take 2^6/2 * 11^2/2 which is 2^3 * 11 = 8 * 11 = 88
