QuestionFind the prime factors of 25.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of25.

STEP 2

Prime factorization is the process of finding the prime numbers that multiply together to make a certain number.

STEP 3

We start by dividing25 by the smallest prime number, which is2. However,25 is not divisible by2.

STEP 4

We then try the next smallest prime number, which is3. However,25 is not divisible by3.

STEP 5

We then try the next smallest prime number, which is5.25 is divisible by5.
$25 \div5 =5$

STEP 6

We then divide the quotient5 by the smallest prime number, which is2. However,5 is not divisible by2.

STEP 7

We then try the next smallest prime number, which is3. However,5 is not divisible by3.

STEP 8

We then try the next smallest prime number, which is5.5 is divisible by5.
$5 \div5 =1$

STEP 9

Once we reach, we stop. The prime factorization of25 is the prime numbers we used to divide, which are5 and5.
The prime factorization of25 is written as $25 =5 \times5$ Or, using exponents $25 =5^2$

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QuestionFind the prime factors of 25.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of25.

STEP 2

Prime factorization is the process of finding the prime numbers that multiply together to make a certain number.

STEP 3

We start by dividing25 by the smallest prime number, which is2. However,25 is not divisible by2.

STEP 4

We then try the next smallest prime number, which is3. However,25 is not divisible by3.

STEP 5

We then try the next smallest prime number, which is5.25 is divisible by5.
$25 \div5 =5$

STEP 6

We then divide the quotient5 by the smallest prime number, which is2. However,5 is not divisible by2.

STEP 7

We then try the next smallest prime number, which is3. However,5 is not divisible by3.

STEP 8

We then try the next smallest prime number, which is5.5 is divisible by5.
$5 \div5 =1$

STEP 9

Once we reach, we stop. The prime factorization of25 is the prime numbers we used to divide, which are5 and5.
The prime factorization of25 is written as $25 =5 \times5$ Or, using exponents $25 =5^2$

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QuestionFind the prime factors of 25.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the prime factorization of25.

STEP 2

Prime factorization is the process of finding the prime numbers that multiply together to make a certain number.

STEP 3

We start by dividing25 by the smallest prime number, which is2. However,25 is not divisible by2.

STEP 4

We then try the next smallest prime number, which is3. However,25 is not divisible by3.

STEP 5

We then try the next smallest prime number, which is5.25 is divisible by5.25÷5=525 \div5 =525÷5=5

STEP 6

We then divide the quotient5 by the smallest prime number, which is2. However,5 is not divisible by2.

STEP 7

We then try the next smallest prime number, which is3. However,5 is not divisible by3.

STEP 8

We then try the next smallest prime number, which is5.5 is divisible by5.5÷5=15 \div5 =15÷5=1

STEP 9

Once we reach, we stop. The prime factorization of25 is the prime numbers we used to divide, which are5 and5.The prime factorization of25 is written as25=5×525 =5 \times525=5×5Or, using exponents25=5225 =5^225=52

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We then try the next smallest prime number, which is5.25 is divisible by5.
$25 \div5 =5$

We then try the next smallest prime number, which is5.5 is divisible by5.
$5 \div5 =1$

Once we reach, we stop. The prime factorization of25 is the prime numbers we used to divide, which are5 and5.
The prime factorization of25 is written as $25 =5 \times5$ Or, using exponents $25 =5^2$