Multiples of 12
Hey, kids, do you know? There are 12 numbers on the face of a clock and there are 12 months in a year. Multiples of 12 are the product of 12 and natural numbers. Interestingly, all multiples of 12 are even. In this mini-lesson, we will calculate the multiples of 12, and learn interesting facts about these multiples.
- First five multiples of 12: 12, 24, 36, 48, 60
- Prime factorization of 12: 2 × 2 × 3
1. | What Are the Multiples of 12? |
2. | First 20 Multiples of 12 |
3. | Important Notes |
4. | FAQs on Multiples of 12 |
What Are the Multiples of 12?
Let us recall a little about multiplication tables. Multiples of 12 are numbers obtained by multiplying 12 with other numbers. The first 5 numbers in the multiplication table of 12 are 12, 24, 36, 48, and 60. They are the first five multiples of 12.
List of the First 20 Multiples of 12
Let's list the first 20 multiples of 12:
Multiplication | Multiples of 12 |
---|---|
12 × 1 | 12 |
12 × 2 | 24 |
12 × 3 | 36 |
12 × 4 | 48 |
12 × 5 | 60 |
12 × 6 | 72 |
12 × 7 | 84 |
12 × 8 | 96 |
12 × 9 | 108 |
12 × 10 | 120 |
12 × 11 | 132 |
12 × 12 | 144 |
12 × 13 | 156 |
12 × 14 | 168 |
12 × 15 | 180 |
12 × 16 | 192 |
12 × 17 | 204 |
12 × 18 | 216 |
12 × 19 | 228 |
12 × 20 | 240 |
To understand the concept of finding multiples, let us look at a few more examples.
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100
- Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, 20
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, 90
- Multiples of 11 - The first five multiples of 11 are 11, 22, 33, 44, 55
- Multiples of 15 - The first five multiples of 15 are 15, 30, 45, 60, 75
Important Notes
- The number 12 has infinite multiples as it can be multiplied with any whole number and we have infinite whole numbers.
- All the multiples of 12 are even numbers.
Solved Examples
-
Example 1 James likes to add pens to his collection. After buying a few more pens, he arranges all of his pens into 8 packets with 12 pens in each packet. How many pens does he have in his collection?
Solution
James arranges 12 pens in one packet and there are a total of 8 packets.
Hence, he has 12 × 8 = 96 pens in all.
This indicates that he arranging them in multiples of 12.
Hence, James has 96 pens in his collection. -
Example 2 On her birthday, Margot wants to give 12 chocolates to each student of her class. If there are 20 students in her class, how many chocolates should she distribute?
Solution
Number of chocolates Margot wants to give to each student = 12
Number of chocolates she should distribute among 20 students = 20 × 12 = 240
FAQs on multiples of 12
What are the multiples of 12?
The multiples of 12 are 12, 24, 36, 48, 60, and so on.
What are the first 10 multiples of 12?
The first 10 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120.
What is the smallest common multiple of 12 and 15?
The smallest common multiple of 12 and 15 is 60.
Is 12 a composite number?
Yes, 12 is a composite number.
What is the 12th multiple of 12?
12 × 12 = 144.
144 is the 12th multiple of 12.
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