Multiples of 16
Did you know all multiples of 16 add up to 16? In this mini-lesson, we will calculate the multiples of 16, and interesting facts about these multiples.
- First five multiples of 16: 16, 32, 48, 64, 80
- Prime Factorization of 16: 16 = 24
| 1. | What Are The Multiples of 16? |
| 2. | First 20 Multiples of 16 |
| 3. | Important Notes |
| 4. | FAQs on Multiples of 16 |
What Are The Multiples of 16?
The multiples of 16 are those numbers that are obtained by multiplying 16 by any integer. The first multiple of 16 (avoiding negative multiples and 0) is obtained by multiplying 16 by 1. Similarly, the next multiples can be found by multiplying 16 with 2, 3, and so on. Here are some other multiples of 16:
Did you observe that 16 can be added to any multiple of 16 to get its successive multiple? Let us see the multiples of some other numbers:
Multiples of 6
Multiples of 6 are the numbers that can be divided by 6 completely. Multiples of 6 are 6, 12, 18, 24, 30, 36, etc.
Multiples of 8
Multiples of 8 are the numbers that can be divided by 8 completely. Multiples of 8 are 8, 16, 24, 32, 40, etc.
List of First 20 Multiples of 16
Now we will find the first 20 multiples of 16 by multiplying 16 by each of the natural numbers from 1 to 20. Since multiplication is repeated addition, once we find the first multiple, we can add 16 to it to get another multiple and we can keep adding 16 to get the successive multiples.
|
Multiply 16 by the numbers from 1 to 20 |
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 |
To understand the concept of finding multiples, let us take 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 12 - The first five multiples of 12 are 12, 24, 36, 48, 60
- Multiples of 15 - The first five multiples of 15 are 15, 30, 45, 60, 75
Important Notes:
- The first multiple of every number is the number itself.
- A number can have an infinite number of multiples.
- The positive multiples of a number are obtained by multiplying it by 1, 2, 3, ...
- The multiples of a number are always greater than or equal to the given number.
Multiples of 16 Solved Examples
-
Example 1: Ron visits his grandparents living in the countryside every 16th day. If he visited them on the 1st of July, on which date of the next month will he visit them again?
Solution:
Ron visited his grandparents on the 1st of July.
Visiting every 16th day means, the days that follow the pattern of multiples of 16
The date of his next visit will be after 16 days, i.e., 1 + 16 = 17th of July, which is in the same month.
The date of his following visit will be again after 16 days, 17 + 16 = 33
Since July has 31 days, ( 33 - 31 = 2), his next visit will be on the 2nd of August.
Therefore, he will visit them on the 2nd of August. -
Example 2: Can you help Amy find the largest four-digit multiple of 16?
Solution:
The largest four-digit number = 9999
Multiple of 16 is a number divisible by 16
On dividing 9999 by 16
The quotient we will get is 624
The remainder we will get is 15
The largest four-digit multiple of 16 = 9999 - Remainder = 9999 - 15 = 9984
Hence, the largest four-digit multiple of 16 = 9984
FAQs on Multiples of 16
How do you find the multiples of 16?
Multiply any natural number with 16 and you will get the multiples of 16.
How Many Multiples does 16 Have?
The number of multiples of any number is infinite. eg: 16, 32, 48, 64, 80, 96, etc.
What are the first four multiples of 16?
The first four multiples of 16 are 16, 32, 48, 64
What is the 16th multiple of 16?
The 16th multiple of 16 is 256.
Are all multiples of 16 multiples of 8?
16 is a multiple of 8, thus, 16 and all its multiples are common multiples of 16 and 8.
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