Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
To solve the problem of prime factorization for each number, we need to break down each number into its prime factors. Let's go through each number step by step.
- Start dividing by the smallest prime number, which is 2.
- \( 64 \div 2 = 32 \)
- \( 32 \div 2 = 16 \)
- \( 16 \div 2 = 8 \)
- \( 8 \div 2 = 4 \)
- \( 4 \div 2 = 2 \)
- \( 2 \div 2 = 1 \)
- Prime factorization: \( 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \)
- Divide by 2 (smallest prime): \( 210 \div 2 = 105 \)
- Divide by 3: \( 105 \div 3 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 210 = 2 \times 3 \times 5 \times 7 \)
- Divide by 2: \( 250 \div 2 = 125 \)
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 250 = 2 \times 5 \times 5 \times 5 \)
- Divide by 3: \( 375 \div 3 = 125 \)
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 375 = 3 \times 5 \times 5 \times 5 \)
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 125 = 5 \times 5 \times 5 \)
- Same as above: \( 250 = 2 \times 5 \times 5 \times 5 \)
- Divide by 2: \( 350 \div 2 = 175 \)
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 350 = 2 \times 5 \times 5 \times 7 \)
- Divide by 2: \( 98 \div 2 = 49 \)
- Divide by 7: \( 49 \div 7 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 98 = 2 \times 7 \times 7 \)
- Divide by 5: \( 295 \div 5 = 59 \)
- 59 is a prime number.
- Prime factorization: \( 295 = 5 \times 59 \)
- Divide by 2: \( 140 \div 2 = 70 \)
- Divide by 2: \( 70 \div 2 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 140 = 2 \times 2 \times 5 \times 7 \)
- Divide by 2: \( 100 \div 2 = 50 \)
- Divide by 2: \( 50 \div 2 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 100 = 2 \times 2 \times 5 \times 5 \)
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 175 = 5 \times 5 \times 7 \)
- Divide by 2: \( 200 \div 2 = 100 \)
- Divide by 2: \( 100 \div 2 = 50 \)
- Divide by 2: \( 50 \div 2 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 200 = 2 \times 2 \times 2 \times 5 \times 5 \)
- Divide by 3: \( 525 \div 3 = 175 \)
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 525 = 3 \times 5 \times 5 \times 7 \)
- Divide by 2: \( 364 \div 2 = 182 \)
- Divide by 2: \( 182 \div 2 = 91 \)
- Divide by 7: \( 91 \div 7 = 13 \)
- 13 is a prime number.
- Prime factorization: \( 364 = 2 \times 2 \times 7 \times 13 \)
- Divide by 2: \( 230 \div 2 = 115 \)
- Divide by 5: \( 115 \div 5 = 23 \)
- 23 is a prime number.
- Prime factorization: \( 230 = 2 \times 5 \times 23 \)
- Divide by 2: \( 88 \div 2 = 44 \)
- Divide by 2: \( 44 \div 2 = 22 \)
- Divide by 2: \( 22 \div 2 = 11 \)
- 11 is a prime number.
- Prime factorization: \( 88 = 2 \times 2 \times 2 \times 11 \)
- Divide by 2: \( 110 \div 2 = 55 \)
- Divide by 5: \( 55 \div 5 = 11 \)
- 11 is a prime number.
- Prime factorization: \( 110 = 2 \times 5 \times 11 \)
\[
\boxed{
\begin{aligned}
64 &= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\
210 &= 2 \times 3 \times 5 \times 7 \\
250 &= 2 \times 5 \times 5 \times 5 \\
375 &= 3 \times 5 \times 5 \times 5 \\
125 &= 5 \times 5 \times 5 \\
250 &= 2 \times 5 \times 5 \times 5 \\
350 &= 2 \times 5 \times 5 \times 7 \\
98 &= 2 \times 7 \times 7 \\
295 &= 5 \times 59 \\
140 &= 2 \times 2 \times 5 \times 7 \\
100 &= 2 \times 2 \times 5 \times 5 \\
175 &= 5 \times 5 \times 7 \\
200 &= 2 \times 2 \times 2 \times 5 \times 5 \\
525 &= 3 \times 5 \times 5 \times 7 \\
364 &= 2 \times 2 \times 7 \times 13 \\
230 &= 2 \times 5 \times 23 \\
88 &= 2 \times 2 \times 2 \times 11 \\
110 &= 2 \times 5 \times 11
\end{aligned}
}
\]
1. 64
- Start dividing by the smallest prime number, which is 2.
- \( 64 \div 2 = 32 \)
- \( 32 \div 2 = 16 \)
- \( 16 \div 2 = 8 \)
- \( 8 \div 2 = 4 \)
- \( 4 \div 2 = 2 \)
- \( 2 \div 2 = 1 \)
- Prime factorization: \( 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \)
2. 210
- Divide by 2 (smallest prime): \( 210 \div 2 = 105 \)
- Divide by 3: \( 105 \div 3 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 210 = 2 \times 3 \times 5 \times 7 \)
3. 250
- Divide by 2: \( 250 \div 2 = 125 \)
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 250 = 2 \times 5 \times 5 \times 5 \)
4. 375
- Divide by 3: \( 375 \div 3 = 125 \)
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 375 = 3 \times 5 \times 5 \times 5 \)
5. 125
- Divide by 5: \( 125 \div 5 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 125 = 5 \times 5 \times 5 \)
6. 250 (repeated)
- Same as above: \( 250 = 2 \times 5 \times 5 \times 5 \)
7. 350
- Divide by 2: \( 350 \div 2 = 175 \)
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 350 = 2 \times 5 \times 5 \times 7 \)
8. 98
- Divide by 2: \( 98 \div 2 = 49 \)
- Divide by 7: \( 49 \div 7 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 98 = 2 \times 7 \times 7 \)
9. 295
- Divide by 5: \( 295 \div 5 = 59 \)
- 59 is a prime number.
- Prime factorization: \( 295 = 5 \times 59 \)
10. 140
- Divide by 2: \( 140 \div 2 = 70 \)
- Divide by 2: \( 70 \div 2 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 140 = 2 \times 2 \times 5 \times 7 \)
11. 100
- Divide by 2: \( 100 \div 2 = 50 \)
- Divide by 2: \( 50 \div 2 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 100 = 2 \times 2 \times 5 \times 5 \)
12. 175
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 175 = 5 \times 5 \times 7 \)
13. 200
- Divide by 2: \( 200 \div 2 = 100 \)
- Divide by 2: \( 100 \div 2 = 50 \)
- Divide by 2: \( 50 \div 2 = 25 \)
- Divide by 5: \( 25 \div 5 = 5 \)
- 5 is a prime number.
- Prime factorization: \( 200 = 2 \times 2 \times 2 \times 5 \times 5 \)
14. 525
- Divide by 3: \( 525 \div 3 = 175 \)
- Divide by 5: \( 175 \div 5 = 35 \)
- Divide by 5: \( 35 \div 5 = 7 \)
- 7 is a prime number.
- Prime factorization: \( 525 = 3 \times 5 \times 5 \times 7 \)
15. 364
- Divide by 2: \( 364 \div 2 = 182 \)
- Divide by 2: \( 182 \div 2 = 91 \)
- Divide by 7: \( 91 \div 7 = 13 \)
- 13 is a prime number.
- Prime factorization: \( 364 = 2 \times 2 \times 7 \times 13 \)
16. 230
- Divide by 2: \( 230 \div 2 = 115 \)
- Divide by 5: \( 115 \div 5 = 23 \)
- 23 is a prime number.
- Prime factorization: \( 230 = 2 \times 5 \times 23 \)
17. 88
- Divide by 2: \( 88 \div 2 = 44 \)
- Divide by 2: \( 44 \div 2 = 22 \)
- Divide by 2: \( 22 \div 2 = 11 \)
- 11 is a prime number.
- Prime factorization: \( 88 = 2 \times 2 \times 2 \times 11 \)
18. 110
- Divide by 2: \( 110 \div 2 = 55 \)
- Divide by 5: \( 55 \div 5 = 11 \)
- 11 is a prime number.
- Prime factorization: \( 110 = 2 \times 5 \times 11 \)
Final Answer:
\[
\boxed{
\begin{aligned}
64 &= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\
210 &= 2 \times 3 \times 5 \times 7 \\
250 &= 2 \times 5 \times 5 \times 5 \\
375 &= 3 \times 5 \times 5 \times 5 \\
125 &= 5 \times 5 \times 5 \\
250 &= 2 \times 5 \times 5 \times 5 \\
350 &= 2 \times 5 \times 5 \times 7 \\
98 &= 2 \times 7 \times 7 \\
295 &= 5 \times 59 \\
140 &= 2 \times 2 \times 5 \times 7 \\
100 &= 2 \times 2 \times 5 \times 5 \\
175 &= 5 \times 5 \times 7 \\
200 &= 2 \times 2 \times 2 \times 5 \times 5 \\
525 &= 3 \times 5 \times 5 \times 7 \\
364 &= 2 \times 2 \times 7 \times 13 \\
230 &= 2 \times 5 \times 23 \\
88 &= 2 \times 2 \times 2 \times 11 \\
110 &= 2 \times 5 \times 11
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of prime factorization worksheet 6th grade.
![6th Grade Algebra] Prime Factorization with variables : r/HomeworkHelp](/images2/prime-factorization-worksheet-6th-grade/prime-factorization-worksheet-6th-grade-29.jpg)
