Math / Numbers & Operations

QuestionEnter the prime factorization of 300 .
Use exponents for repeated factors. Be sure to use the * between different factors. For example, the prime factorization for 12 can be entered as $2 \wedge 2 * 3$ or $3 * 2 \wedge 2$ . $\square$ Submit Question

Studdy Solution

STEP 1

1. We need to find the prime factorization of the number $300$ .
2. The prime factorization should be expressed using exponents for repeated factors.
3. The multiplication symbol (*) should be used between different factors.

STEP 2

1. Divide the number by the smallest prime number.
2. Continue dividing by prime numbers.
3. Express the factorization using exponents.

STEP 3

Start by dividing $300$ by the smallest prime number, which is $2$ .
$300 \div 2 = 150$

STEP 4

Continue dividing by $2$ since $150$ is still even.
$150 \div 2 = 75$

STEP 5

Now divide $75$ by the next smallest prime number, which is $3$ .
$75 \div 3 = 25$

STEP 6

Divide $25$ by the next smallest prime number, which is $5$ .
$25 \div 5 = 5$

STEP 7

Finally, divide $5$ by $5$ to complete the factorization.
$5 \div 5 = 1$

STEP 8

Express the prime factorization using exponents:
The prime factorization of $300$ is:
$2^2 * 3^1 * 5^2$
The prime factorization of $300$ is:
$\boxed{2^2 * 3 * 5^2}$

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QuestionEnter the prime factorization of 300 .
Use exponents for repeated factors. Be sure to use the * between different factors. For example, the prime factorization for 12 can be entered as $2 \wedge 2 * 3$ or $3 * 2 \wedge 2$ . $\square$ Submit Question

Studdy Solution

STEP 1

1. We need to find the prime factorization of the number $300$ .
2. The prime factorization should be expressed using exponents for repeated factors.
3. The multiplication symbol (*) should be used between different factors.

STEP 2

1. Divide the number by the smallest prime number.
2. Continue dividing by prime numbers.
3. Express the factorization using exponents.

STEP 3

Start by dividing $300$ by the smallest prime number, which is $2$ .
$300 \div 2 = 150$

STEP 4

Continue dividing by $2$ since $150$ is still even.
$150 \div 2 = 75$

STEP 5

Now divide $75$ by the next smallest prime number, which is $3$ .
$75 \div 3 = 25$

STEP 6

Divide $25$ by the next smallest prime number, which is $5$ .
$25 \div 5 = 5$

STEP 7

Finally, divide $5$ by $5$ to complete the factorization.
$5 \div 5 = 1$

STEP 8

Express the prime factorization using exponents:
The prime factorization of $300$ is:
$2^2 * 3^1 * 5^2$
The prime factorization of $300$ is:
$\boxed{2^2 * 3 * 5^2}$

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QuestionEnter the prime factorization of 300 .Use exponents for repeated factors. Be sure to use the * between different factors. For example, the prime factorization for 12 can be entered as 2∧2∗32 \wedge 2 * 32∧2∗3 or 3∗2∧23 * 2 \wedge 23∗2∧2. □\square□ Submit Question

Studdy Solution

STEP 1

1. We need to find the prime factorization of the number 300 300 300.2. The prime factorization should be expressed using exponents for repeated factors.3. The multiplication symbol (*) should be used between different factors.

STEP 2

1. Divide the number by the smallest prime number.2. Continue dividing by prime numbers.3. Express the factorization using exponents.

STEP 3

Start by dividing 300 300 300 by the smallest prime number, which is 2 2 2.300÷2=150 300 \div 2 = 150 300÷2=150

STEP 4

Continue dividing by 2 2 2 since 150 150 150 is still even.150÷2=75 150 \div 2 = 75 150÷2=75

STEP 5

Now divide 75 75 75 by the next smallest prime number, which is 3 3 3.75÷3=25 75 \div 3 = 25 75÷3=25

STEP 6

Divide 25 25 25 by the next smallest prime number, which is 5 5 5.25÷5=5 25 \div 5 = 5 25÷5=5

STEP 7

Finally, divide 5 5 5 by 5 5 5 to complete the factorization.5÷5=1 5 \div 5 = 1 5÷5=1

STEP 8

Express the prime factorization using exponents:The prime factorization of 300 300 300 is:22∗31∗52 2^2 * 3^1 * 5^2 22∗31∗52 The prime factorization of 300 300 300 is:22∗3∗52\boxed{2^2 * 3 * 5^2}22∗3∗52​

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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.

QuestionEnter the prime factorization of 300 .
Use exponents for repeated factors. Be sure to use the * between different factors. For example, the prime factorization for 12 can be entered as $2 \wedge 2 * 3$ or $3 * 2 \wedge 2$ . $\square$ Submit Question

1. We need to find the prime factorization of the number $300$ .
2. The prime factorization should be expressed using exponents for repeated factors.
3. The multiplication symbol (*) should be used between different factors.

1. Divide the number by the smallest prime number.
2. Continue dividing by prime numbers.
3. Express the factorization using exponents.

Start by dividing $300$ by the smallest prime number, which is $2$ .
$300 \div 2 = 150$

Continue dividing by $2$ since $150$ is still even.
$150 \div 2 = 75$

Now divide $75$ by the next smallest prime number, which is $3$ .
$75 \div 3 = 25$

Divide $25$ by the next smallest prime number, which is $5$ .
$25 \div 5 = 5$

Finally, divide $5$ by $5$ to complete the factorization.
$5 \div 5 = 1$

Express the prime factorization using exponents:
The prime factorization of $300$ is:
$2^2 * 3^1 * 5^2$
The prime factorization of $300$ is:
$\boxed{2^2 * 3 * 5^2}$