Question Find the prime factorization of $112$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of112. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

We start by dividing the number by the smallest prime number, which is2. If the number is not divisible by2, we move to the next prime number, which is, and so on, until we are left with a prime number.
$112 /2 =56$

STEP 3

We continue this process with the quotient we got from the previous step.
$56 /2 =28$

STEP 4

We continue this process with the quotient we got from the previous step.
$28 /2 =14$

STEP 5

We continue this process with the quotient we got from the previous step.
$14 /2 =7$

STEP 6

Now we have reached a prime number,, which cannot be divided further. So, we stop here.

STEP 7

Now, we write down the prime factorization of112 as the product of the prime numbers we used to divide it.
$112 =2 \\times2 \\times2 \\times2 \\times7$ So, the prime factorization of112 is $2^4 \\times7$ .

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Question Find the prime factorization of $112$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of112. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

We start by dividing the number by the smallest prime number, which is2. If the number is not divisible by2, we move to the next prime number, which is, and so on, until we are left with a prime number.
$112 /2 =56$

STEP 3

We continue this process with the quotient we got from the previous step.
$56 /2 =28$

STEP 4

We continue this process with the quotient we got from the previous step.
$28 /2 =14$

STEP 5

We continue this process with the quotient we got from the previous step.
$14 /2 =7$

STEP 6

Now we have reached a prime number,, which cannot be divided further. So, we stop here.

STEP 7

Now, we write down the prime factorization of112 as the product of the prime numbers we used to divide it.
$112 =2 \\times2 \\times2 \\times2 \\times7$ So, the prime factorization of112 is $2^4 \\times7$ .

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Question Find the prime factorization of 112112112.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of112. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

We start by dividing the number by the smallest prime number, which is2. If the number is not divisible by2, we move to the next prime number, which is, and so on, until we are left with a prime number.112/2=56112 /2 =56112/2=56

STEP 3

We continue this process with the quotient we got from the previous step.56/2=2856 /2 =2856/2=28

STEP 4

We continue this process with the quotient we got from the previous step.28/2=1428 /2 =1428/2=14

STEP 5

We continue this process with the quotient we got from the previous step.14/2=714 /2 =714/2=7

STEP 6

Now we have reached a prime number,, which cannot be divided further. So, we stop here.

STEP 7

Now, we write down the prime factorization of112 as the product of the prime numbers we used to divide it.112=2times2times2times2times7112 =2 \\times2 \\times2 \\times2 \\times7112=2times2times2times2times7So, the prime factorization of112 is 24times72^4 \\times724times7.

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Question Find the prime factorization of $112$ .

We start by dividing the number by the smallest prime number, which is2. If the number is not divisible by2, we move to the next prime number, which is, and so on, until we are left with a prime number.
$112 /2 =56$

We continue this process with the quotient we got from the previous step.
$56 /2 =28$

We continue this process with the quotient we got from the previous step.
$28 /2 =14$

We continue this process with the quotient we got from the previous step.
$14 /2 =7$

Now, we write down the prime factorization of112 as the product of the prime numbers we used to divide it.
$112 =2 \\times2 \\times2 \\times2 \\times7$ So, the prime factorization of112 is $2^4 \\times7$ .