QUESTION IMAGE
Question
name: _____________ date: _________
factors
score __/10 or ____%
| what are the factors of each numbers? | what are the prime factor of each numbers? | what is the greatest common factor of each pair of numbers? |
| 12= | 12= | 12, 18 |
gcf = ______ |
| 18= | 18= | 45, 80 |
gcf = ______ |
| 45= | 45= | |
| 80= | 80= | |
| score = | score = | score = |
multiples
score __/12 or ____%
| what are the first 6 multiple of each number? | what are the first 2 common multiples of each number pair? | what is the least common multiple of each pair of numbers? |
| 2 = | 2,5 = | 2,5 |
lcm = |
| 5 = | 6,8 = | 6,8 |
lcm = |
| 6 = | 10,20 = | 10,20 |
lcm = |
| 8 = | 12, 18 = | 12,18 |
lcm = |
| score = | score = | score= |
Step1: Find factors of 45,80
Factors of 45: $1, 3, 5, 9, 15, 45$
Factors of 80: $1, 2, 4, 5, 8, 10, 16, 20, 40, 80$
Step2: Prime factorize 12,18,45,80
$12 = 2^2 \times 3$
$18 = 2 \times 3^2$
$45 = 3^2 \times 5$
$80 = 2^4 \times 5$
Step3: Calculate GCF of number pairs
For 12,18: Take lowest exponents of shared primes ($2^1, 3^1$)
$\text{GCF}(12,18) = 2 \times 3 = 6$
For 45,80: Take lowest exponent of shared prime ($5^1$)
$\text{GCF}(45,80) = 5$
Step4: List first 6 multiples
Multiples of 2: $2, 4, 6, 8, 10, 12$
Multiples of 5: $5, 10, 15, 20, 25, 30$
Multiples of 6: $6, 12, 18, 24, 30, 36$
Multiples of 8: $8, 16, 24, 32, 40, 48$
Step5: List first 2 common multiples
For 2,5: $10, 20$
For 6,8: $24, 48$
For 10,20: $20, 40$
For 12,18: $36, 72$
Step6: Calculate LCM of number pairs
For 2,5: $\text{LCM}(2,5) = 2 \times 5 = 10$
For 6,8: $\text{LCM}(6,8) = \frac{6 \times 8}{\text{GCF}(6,8)} = \frac{48}{2} = 24$
For 10,20: $\text{LCM}(10,20) = 20$
For 12,18: $\text{LCM}(12,18) = \frac{12 \times 18}{\text{GCF}(12,18)} = \frac{216}{6} = 36$
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Factors Section
| What are the factors of each Numbers? | What are the Prime Factor of each numbers? | What is the Greatest Common Factor of each pair of numbers? |
|---|---|---|
| 18= 1,2,3,6,9,18 | $18=2\times3^2$ | 45, 80<br>GCF = 5 |
| 45= 1,3,5,9,15,45 | $45=3^2\times5$ | |
| 80= 1,2,4,5,8,10,16,20,40,80 | $80=2^4\times5$ |
Multiples Section
| What are the first 6 Multiple of each number? | What are the first 2 Common Multiples of each number pair? | What is the Least Common Multiple of each pair of numbers ? |
|---|---|---|
| 5= 5,10,15,20,25,30 | 6,8 = 24,48 | 6,8<br>LCM = 24 |
| 6= 6,12,18,24,30,36 | 10,20 = 20,40 | 10,20<br>LCM = 20 |
| 8= 8,16,24,32,40,48 | 12,18 = 36,72 | 12,18<br>LCM = 36 |