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What is the prime factorization of 196 ?
Use the 
× button or type the * key on your keyboard. For exponents, use the 
a^(b). button or the 
^ key on your keyboard. If a number is prime, enter the number itself.
Answer Attempt 1 out of 2

196=

◻ 
x 
sqrt(a^(b)) 
a^(b)
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stydent/2888069/22725824/45eef0244c9864c4a638072de20fd863

Question\newlineShow Example\newlineWhat is the prime factorization of 196196 ?\newlineUse the × \times button or type the * key on your keyboard. For exponents, use the ab a^{b} . button or the { }^{\wedge} key on your keyboard. If a number is prime, enter the number itself.\newlineAnswer Attempt 11 out of 22\newline196= 196= \newline \square x x ab \sqrt{a^{b}} ab a^{b} \newlineSubmit Answer\newlineRatios\newlineLog Out\newlinestydent/28880692888069/2272582422725824/4545eef02440244c98649864c44a638072638072de2020fd863863

Full solution

Q. Question\newlineShow Example\newlineWhat is the prime factorization of 196196 ?\newlineUse the × \times button or type the * key on your keyboard. For exponents, use the ab a^{b} . button or the { }^{\wedge} key on your keyboard. If a number is prime, enter the number itself.\newlineAnswer Attempt 11 out of 22\newline196= 196= \newline \square x x ab \sqrt{a^{b}} ab a^{b} \newlineSubmit Answer\newlineRatios\newlineLog Out\newlinestydent/28880692888069/2272582422725824/4545eef02440244c98649864c44a638072638072de2020fd863863
  1. Find Factors of \newline196196: First, let's start by finding two numbers that multiply to \newline196196. We know that \newline196196 is an even number, so it's divisible by \newline22. Let's divide \newline196196 by \newline22.\newline\newline196÷2=98196 \div 2 = 98.
  2. Divide by 22: Now we have 22 and 9898. We know that 9898 is also even, so we can divide it by 22 again.\newline98÷2=4998 \div 2 = 49.
  3. Find Square Root: We have 22, 22, and 4949. The number 4949 is not even, but it's a square of a prime number. Let's find that prime number by taking the square root.\newline49=7\sqrt{49} = 7.
  4. Final Prime Factorization: Now we have 22, 22, and 77. Since 77 is a prime number, we can't factor it any further. So, the prime factorization of 196196 is 2×2×7×72 \times 2 \times 7 \times 7.

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