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7 grade maths

What is the prime factorization of 44 ?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the prime factorization of 44, we need to express 44 as a product of prime numbers.

Step 1: Start by dividing 44 by the smallest prime number, which is 2. Since 44 is an even number, it is divisible by 2.

44 ÷ 2 = 22

Step 2: Now, divide 22 by 2 again, because 22 is also even.

22 ÷ 2 = 11

Step 3: Now, 11 is a prime number, and it cannot be divided further by 2. So, we stop here.

The prime factorization of 44 is:

44 = 2 × 2 × 11

This can also be written as:

44 = 2² × 11

So, the prime factorization of 44 is 2² × 11.