The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, etc. It is a sequence where the difference between each next number and the preceding number, i.e. two consecutive multiples or products, is equal to 16.
In simple words, multiples of a number are the products obtained by multiplying the given number by other natural numbers. There is a difference between factors and multiples, which you can learn here. We know that 16 is a factor of 16, and also 16 is a multiple of 16.
What are the Multiples of 16?
The multiples for 16 are the numbers that are produced when 16 is multiplied by any natural number. That means any number that can be expressed in the form of 16n where n is an integer is a multiple of 16. As we know, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n.
Multiples of 16 List
Some of the multiples of 16 include the following.
16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448,…
Thus, as per the definition given above, the multiple of 16 is obtained by multiplying some integer with 16.
For example, 96, 112, 144 and 208 are all multiples of 16 for the following reasons.
| 16 × 6 = 96 | 16 multiplied by 6 to get 96 |
| 16 × 7 = 112 | 16 multiplied by 7 to get 112 |
| 16 × 9 = 144 | 16 multiplied by 9 to get 144 |
| 16 × 13 = 208 | 16 multiplied by 13 to get 208 |
We can also find the multiples through the repeated addition of a number as many times as required.
5 multiples of 16
To get the first five multiples of 16, we have to multiply 16 by 1, 2, 3, 4 and 5 or add the number of times as shown below:
The first multiple of 16 is: 16 × 1 = 16
The second multiple of 16 is: 16 × 2 = 32 Or 16 + 16 = 32 {here 16 is added for twice}
The third multiple of 16 is: 16 × 3 = 48 Or 16 + 16 + 16 = 48 {here 16 is added for thrice}
The fourth multiple of 16 is: 16 × 4 = 64 Or 16 + 16 + 16 + 16 = 64
The fifth multiple of 16 is: 16 × 5 = 80 Or 16 + 16 + 16 + 16 + 16 = 80
Similarly, it is possible to write several multiples of the given numbers.
Multiples of 16 Table
The table given below contains the first 20 multiples of 16 along with the multiplication notation in each case.
| Multiplication of 16 with numbers | Multiples of 16 |
| 16 × 1 | 16 |
| 16 × 2 | 32 |
| 16 × 3 | 48 |
| 16 × 4 | 64 |
| 16 × 5 | 80 |
| 16 × 6 | 96 |
| 16 × 7 | 112 |
| 16 × 8 | 128 |
| 16 × 9 | 144 |
| 16 × 10 | 160 |
| 16 × 11 | 176 |
| 16 × 12 | 192 |
| 16 × 13 | 208 |
| 16 × 14 | 224 |
| 16 × 15 | 240 |
| 16 × 16 | 256 |
| 16 × 17 | 272 |
| 16 × 18 | 288 |
| 16 × 19 | 304 |
| 16 × 20 | 320 |
From the above table, we can say that the multiples of the number 16 are the results in the multiplication table of 16, as both are the same.
What is a multiple and factor of 16?
As we know, multiples are the n-times of any given number. However, factors are the numbers which when multiplied together, produce the original number.
The multiples of any number could get extended till any number of times, but the factors are fixed for any numbers.
The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, etc. The factors of 16 are 1, 2, 4, 8 and 16.
Video Lesson on Common Multiples
Get the Multiples of More Numbers Here
| Multiples of 2 | Multiples of 3 | Multiples of 4 |
| Multiples of 5 | Multiples of 6 | Multiples of 7 |
| Multiples of 8 | Multiples of 9 | Multiples of 15 |
Examples
Let’s have a look at the solved examples given below for better understanding of the concept.
Example 1:
What are multiples of 16 between 40 and 90?
Solution:
We know that the first 10 multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160.
Thus, the multiples of 16 between 40 and 90 are 48, 64, and 80.
Example 2:
Write the common multiples of 16 and 24.
Solution:
The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, etc.
The multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, etc.
Therefore, the common multiples of 16 and 24 include 48, 96, 144, 192,…
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Frequently Asked Questions on Multiples of 16
How do you find the multiples of 16?
A number is a multiple of 16 if we are able to express that number in the form 16n where n is a natural number. Thus, we can find the multiples of 16 by multiplying numbers such as 1, 2, 3, 4, 5, etc., by 16.
What are the factors and multiples of 16?
The factors of 16 are the exact divisors of that number, they are 1, 2, 4, 8, and 16.
The multiples of 16 will be obtained by multiplying integers such as 1, 2, 3, 4, 5, etc., by 16. Some of the multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, etc.
What is the 16th multiple of 16?
We can get the 16th multiple of 16, we have to multiply 16 by 16, i.e. 16 × 16 = 256.
Therefore, the sixteenth multiple of 16 is 256.
What are the common multiples of 16 and 20?
The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, etc.
The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, etc.
Therefore, the common multiples of 16 and 20 include 80, 160, 240,….
What are the first 4 multiples of 16?
The first 4 multiples of 16 are 16, 32, 48, and 64. These can be expressed as:
16 × 1 = 16
16 × 2 = 32
16 × 3 = 48
16 × 4 = 64
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