QuestionFind the prime factorization of 44 using exponents for repeated factors. $44 =$

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of44. . Prime factorization is the expression of a number as a product of prime numbers.
3. We use exponents to show any repeated prime factors.

STEP 2

We start by finding the smallest prime number that can divide44. The smallest prime number is2.
$44 \div2 =22$

STEP 3

We continue the process with the quotient we obtained, which is22. Again, we can divide22 by2.
$22 \div2 =11$

STEP 4

Now, we have11 which is a prime number itself. So, we stop here.

STEP 5

We can now write44 as a product of the prime numbers we used to divide it.
$44 =2 \times2 \times11$

STEP 6

If there are any repeated prime factors, we use exponents to show them. In this case,2 is repeated twice.
$44 =2^2 \times11$ So, the prime factorization of44 is $2^2 \times11$ .

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QuestionFind the prime factorization of 44 using exponents for repeated factors. $44 =$

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of44. . Prime factorization is the expression of a number as a product of prime numbers.
3. We use exponents to show any repeated prime factors.

STEP 2

We start by finding the smallest prime number that can divide44. The smallest prime number is2.
$44 \div2 =22$

STEP 3

We continue the process with the quotient we obtained, which is22. Again, we can divide22 by2.
$22 \div2 =11$

STEP 4

Now, we have11 which is a prime number itself. So, we stop here.

STEP 5

We can now write44 as a product of the prime numbers we used to divide it.
$44 =2 \times2 \times11$

STEP 6

If there are any repeated prime factors, we use exponents to show them. In this case,2 is repeated twice.
$44 =2^2 \times11$ So, the prime factorization of44 is $2^2 \times11$ .

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QuestionFind the prime factorization of 44 using exponents for repeated factors. 44= 44 = 44=

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of44. . Prime factorization is the expression of a number as a product of prime numbers.3. We use exponents to show any repeated prime factors.

STEP 2

We start by finding the smallest prime number that can divide44. The smallest prime number is2.44÷2=2244 \div2 =2244÷2=22

STEP 3

We continue the process with the quotient we obtained, which is22. Again, we can divide22 by2.22÷2=1122 \div2 =1122÷2=11

STEP 4

Now, we have11 which is a prime number itself. So, we stop here.

STEP 5

We can now write44 as a product of the prime numbers we used to divide it.44=2×2×1144 =2 \times2 \times1144=2×2×11

STEP 6

If there are any repeated prime factors, we use exponents to show them. In this case,2 is repeated twice.44=22×1144 =2^2 \times1144=22×11So, the prime factorization of44 is 22×112^2 \times1122×11.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the prime factorization of 44 using exponents for repeated factors. $44 =$

Assumptions1. We are asked to find the prime factorization of44. . Prime factorization is the expression of a number as a product of prime numbers.
3. We use exponents to show any repeated prime factors.

We start by finding the smallest prime number that can divide44. The smallest prime number is2.
$44 \div2 =22$

We continue the process with the quotient we obtained, which is22. Again, we can divide22 by2.
$22 \div2 =11$

We can now write44 as a product of the prime numbers we used to divide it.
$44 =2 \times2 \times11$

If there are any repeated prime factors, we use exponents to show them. In this case,2 is repeated twice.
$44 =2^2 \times11$ So, the prime factorization of44 is $2^2 \times11$ .