QuestionFind the prime factorization of $75$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of75. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

Let's start by dividing75 by the smallest prime number, which is2. Since75 is not divisible by2, we move on to the next prime number, which is.
$75 / =25$

STEP 3

Now, we divide25 by the smallest prime number, which is2. Since25 is not divisible by2, we move on to the next prime number, which is3. Since25 is also not divisible by3, we move on to the next prime number, which is5.
$25 /5 =5$

STEP 4

Finally, we divide by the smallest prime number, which is2. Since is not divisible by2, we move on to the next prime number, which is3. Since is also not divisible by3, we move on to the next prime number, which is.
$/ =1$

STEP 5

Now we have reached1, which means we have found all the prime factors of75. They are3,5, and5.
So, the prime factorization of75 is $75 =3 \times5 \times5$ or, using exponents,
$75 =3 \times5^2$

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QuestionFind the prime factorization of $75$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of75. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

Let's start by dividing75 by the smallest prime number, which is2. Since75 is not divisible by2, we move on to the next prime number, which is.
$75 / =25$

STEP 3

Now, we divide25 by the smallest prime number, which is2. Since25 is not divisible by2, we move on to the next prime number, which is3. Since25 is also not divisible by3, we move on to the next prime number, which is5.
$25 /5 =5$

STEP 4

Finally, we divide by the smallest prime number, which is2. Since is not divisible by2, we move on to the next prime number, which is3. Since is also not divisible by3, we move on to the next prime number, which is.
$/ =1$

STEP 5

Now we have reached1, which means we have found all the prime factors of75. They are3,5, and5.
So, the prime factorization of75 is $75 =3 \times5 \times5$ or, using exponents,
$75 =3 \times5^2$

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QuestionFind the prime factorization of 757575.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of75. . Prime factorization is the process of determining the prime numbers that multiply together to make a certain number.

STEP 2

Let's start by dividing75 by the smallest prime number, which is2. Since75 is not divisible by2, we move on to the next prime number, which is.75/=2575 / =2575/=25

STEP 3

Now, we divide25 by the smallest prime number, which is2. Since25 is not divisible by2, we move on to the next prime number, which is3. Since25 is also not divisible by3, we move on to the next prime number, which is5.25/5=525 /5 =525/5=5

STEP 4

Finally, we divide by the smallest prime number, which is2. Since is not divisible by2, we move on to the next prime number, which is3. Since is also not divisible by3, we move on to the next prime number, which is./=1 / =1/=1

STEP 5

Now we have reached1, which means we have found all the prime factors of75. They are3,5, and5.So, the prime factorization of75 is75=3×5×575 =3 \times5 \times575=3×5×5or, using exponents,75=3×5275 =3 \times5^275=3×52

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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 $75$ .

Let's start by dividing75 by the smallest prime number, which is2. Since75 is not divisible by2, we move on to the next prime number, which is.
$75 / =25$

Now, we divide25 by the smallest prime number, which is2. Since25 is not divisible by2, we move on to the next prime number, which is3. Since25 is also not divisible by3, we move on to the next prime number, which is5.
$25 /5 =5$

Finally, we divide by the smallest prime number, which is2. Since is not divisible by2, we move on to the next prime number, which is3. Since is also not divisible by3, we move on to the next prime number, which is.
$/ =1$

Now we have reached1, which means we have found all the prime factors of75. They are3,5, and5.
So, the prime factorization of75 is $75 =3 \times5 \times5$ or, using exponents,
$75 =3 \times5^2$