Math / Numbers & Operations

Question $\qquad$ 3. 4.
2×3ヶ2X $\qquad$ Write the prime factorizations.
5. 44
6. 125
7. 85
8. 39 , $\qquad$ $\qquad$

Studdy Solution

STEP 1

1. We are given four numbers: $44$ , $125$ , $85$ , and $39$ .
2. We need to find the prime factorization of each number.

STEP 2

1. Prime factorization of 44
2. Prime factorization of 125
3. Prime factorization of 85
4. Prime factorization of 39

STEP 3

Find the prime factorization of $44$ .
- Start by dividing $44$ by the smallest prime number, $2$ .
$44 \div 2 = 22$
- Continue dividing by $2$ until it is no longer divisible.
$22 \div 2 = 11$
- Now, $11$ is a prime number.
- Therefore, the prime factorization of $44$ is:
$2^2 \times 11$

STEP 4

Find the prime factorization of $125$ .
- Start by dividing $125$ by the smallest prime number, $5$ .
$125 \div 5 = 25$
- Continue dividing by $5$ .
$25 \div 5 = 5$
- Finally, divide by $5$ again.
$5 \div 5 = 1$
- Therefore, the prime factorization of $125$ is:
$5^3$

STEP 5

Find the prime factorization of $85$ .
- Start by dividing $85$ by the smallest prime number, $5$ .
$85 \div 5 = 17$
- Now, $17$ is a prime number.
- Therefore, the prime factorization of $85$ is:
$5 \times 17$

STEP 6

Find the prime factorization of $39$ .
- Start by dividing $39$ by the smallest prime number, $3$ .
$39 \div 3 = 13$
- Now, $13$ is a prime number.
- Therefore, the prime factorization of $39$ is:
$3 \times 13$
The prime factorizations are: - $44 = 2^2 \times 11$ - $125 = 5^3$ - $85 = 5 \times 17$ - $39 = 3 \times 13$

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Question $\qquad$ 3. 4.
2×3ヶ2X $\qquad$ Write the prime factorizations.
5. 44
6. 125
7. 85
8. 39 , $\qquad$ $\qquad$

Studdy Solution

STEP 1

1. We are given four numbers: $44$ , $125$ , $85$ , and $39$ .
2. We need to find the prime factorization of each number.

STEP 2

1. Prime factorization of 44
2. Prime factorization of 125
3. Prime factorization of 85
4. Prime factorization of 39

STEP 3

Find the prime factorization of $44$ .
- Start by dividing $44$ by the smallest prime number, $2$ .
$44 \div 2 = 22$
- Continue dividing by $2$ until it is no longer divisible.
$22 \div 2 = 11$
- Now, $11$ is a prime number.
- Therefore, the prime factorization of $44$ is:
$2^2 \times 11$

STEP 4

Find the prime factorization of $125$ .
- Start by dividing $125$ by the smallest prime number, $5$ .
$125 \div 5 = 25$
- Continue dividing by $5$ .
$25 \div 5 = 5$
- Finally, divide by $5$ again.
$5 \div 5 = 1$
- Therefore, the prime factorization of $125$ is:
$5^3$

STEP 5

Find the prime factorization of $85$ .
- Start by dividing $85$ by the smallest prime number, $5$ .
$85 \div 5 = 17$
- Now, $17$ is a prime number.
- Therefore, the prime factorization of $85$ is:
$5 \times 17$

STEP 6

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Question\qquad 3. 4.2×3ヶ2X \qquad Write the prime factorizations.5. 446. 1257. 858. 39 , \qquad \qquad

Studdy Solution

STEP 1

1. We are given four numbers: 44 44 44, 125 125 125, 85 85 85, and 39 39 39.2. We need to find the prime factorization of each number.

STEP 2

1. Prime factorization of 442. Prime factorization of 1253. Prime factorization of 854. Prime factorization of 39

STEP 3

STEP 4

STEP 5

Find the prime factorization of 85 85 85.- Start by dividing 85 85 85 by the smallest prime number, 5 5 5.85÷5=17 85 \div 5 = 17 85÷5=17- Now, 17 17 17 is a prime number.- Therefore, the prime factorization of 85 85 85 is:5×17 5 \times 17 5×17

STEP 6

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Question $\qquad$ 3. 4.
2×3ヶ2X $\qquad$ Write the prime factorizations.
5. 44
6. 125
7. 85
8. 39 , $\qquad$ $\qquad$

1. We are given four numbers: $44$ , $125$ , $85$ , and $39$ .
2. We need to find the prime factorization of each number.

1. Prime factorization of 44
2. Prime factorization of 125
3. Prime factorization of 85
4. Prime factorization of 39

Find the prime factorization of $85$ .
- Start by dividing $85$ by the smallest prime number, $5$ .
$85 \div 5 = 17$
- Now, $17$ is a prime number.
- Therefore, the prime factorization of $85$ is:
$5 \times 17$