What is the largest multiple of 12?
Table of Contents
What is the largest multiple of 12?
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,… The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160,… Hence the common multiples of 12 and 16 are 48, 96, 144,… and their LCM is 48. The multiples of 24 are 0, 24, 48,… Hence the LCM of 12, 16 and 24 is 48.
What number is a multiple of 12?
The multiples of 12 are 12, 24, 36, 48, 60, and so on.
How is 0 a multiple of every number?
Zero is a multiple of every number. This is because zero times any number is zero. For any two positive integers, there is a least common multiple of those two numbers.
Is it possible to list all of the multiples of 12?
Is it possible to list all of the multiples of 12? Explain. No, because there are an infinite number of multiples of any number.
Is 12 a multiple of its factors?
Factoring is like taking a number apart. It means to express a number as the product of its factors. The number 12 is a multiple of 3, because it can be divided evenly by 3.
How do you find the highest multiple?
The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.
What is the twelfth multiple of 12?
Multiples of 12 Table
| Multiplication of 12 with numbers | Multiples of 12 |
|---|---|
| 12 × 1 | 12 |
| 12 × 2 | 24 |
| 12 × 3 | 36 |
| 12 × 4 | 48 |
What is the largest possible number using all the given digits?
It turns out that because 1 and 2 are small and close together, this minimizes the change if we were to swap them. Naturally, the number 987654321 is the largest possible number using all the given digits. However, it is not divisible by 4. If we switch 1 and 2, we get
How to find the smallest number with each digit occurring only once?
The easy way to find the smallest number using the given digits where each digit occurring only once is to arrange the digits in ascending order and the number obtained will be the smallest number formed by the given digits. The smallest number formed using the digits 6, 2, 7, 4, 3 and each digit occurring only once = 23,467
Is 987654312 divisible by 12?
Naturally, the number 987654321 is the largest possible number using all the given digits. However, it is not divisible by 4. So because 987654312 is both divisible by 3 and 4, this means that 987654312 is divisible by 12. Also, this is the largest multiple of 12.
Can a 9 digit number be divisible by 3?
Since the digits add up to 45, which is divisible by 3, this means that if you construct a 9 digit number using all the digits, then that number will be divisible by 3. So we only need to make sure that the number is also divisible by 4.