what is the prime factorization of 36 Prime factorization means expressing a number as a product of its prime factors The prime factors of 24 are 2 2 and 2 as 24 can be written as 2 2 2 3 Step 2 Prime Factorization of 36 Next we find the prime factorization of 36 The prime factors of 36 are 2 2 3 and 3 as 36 can be written as 2 2 3 3
Explanation The prime factorization of 36 can be derived by finding the prime numbers that multiply together to give 36 The prime factors of 36 are 2 and 3 so first we ll divide 36 by 2 which gives us 18 then again by 2 to get 9 Then we divide 9 by 3 which gives us 3 and again by 3 to get 1 This means the prime factorization of 36 is 2 x The statement is false Step by step explanation The prime factorization only consists of prime factors The composite numbers cannot be a factor in prime factorization In the given factorization 36 2 2 9 In the given factorization 2 is prime while the number 9 is not a prime number as it can be further broken down into 3 3 So The
what is the prime factorization of 36
what is the prime factorization of 36
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Prime Factors 36 30 YouTube
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Prime Factorization Using Repeated Division video Lessons Examples
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The prime factorization of 30 includes 2 and 3 The prime factorization of 36 includes 2 and 3 The highest common factor is obtained by taking the lowest exponent for each common prime factor Thus we have Common prime factors 2 3 Exponents 2 is raised to the power of 1 in the prime factorization of 24 2 3 Prime Factorization Method One of the simplest and most effective methods to find the HCF of two numbers is the prime factorization method This method involves breaking down the numbers into their prime factors and selecting the common factors Step 1 Prime factorization of 36 To begin let s determine the prime factorization of 36
The first step is to find the prime factorization of each number For 21 prime factorization 3 7 For 28 prime factorization 2 2 7 and For 36 prime factorization 2 2 3 3 The HCF Highest Common Factor is found by multiplying the lowest power of common prime factors So looking at the prime factorization of the three numbers the The GCF Greatest Common Factor of three numbers can be found using prime factorization To find the GCF 12 18 36 we need to determine the prime factors of each number The prime factors of 12 are 2 and 3 of 18 are 2 and 3 and of 36 are 2 and 3 The common prime factors among the three numbers are 2 and 3
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Prime factorization 36 2 x 2 x 3 x 3 which can also be written 36 2 x 3 Since 36 6 a whole number 36 is a perfect square Least Common Multiple of 36 and 72 Since 7 is a prime number we cannot divide it further Therefore the prime factorization of 14 is 2 7 Step 2 Prime Factorization of 36 Next let s find the prime factorization of 36 We divide 36 by its smallest prime factor which is 2 36 2 18 18 2 9 9 3 3 Therefore the prime factorization of 36 is 2 2 3 3
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