The number “45” is an odd number, as we all know. The list of numbers obtained by multiplying 45 with natural numbers is known as the multiples of 45. In other words, the numbers that are exactly divisible by 45 are known as multiples of 45. For example, 2 times 45 equals 90. As a result, we can define 90 as a multiple of 45. 180, 225, 630, 720, and so on are examples of multiples of 45. In this article, we will learn the multiples of 45 in detail, as well as a table of multiples of 45 and many solved examples.
What are Multiples of 45?
Multiples of 45 are defined mathematically as “Any number that can be expressed in the form of 45n where n is a natural number is a multiple of 45.” Assume the numbers “p” and “q.” If “q = np” for some natural number “n,” we can state that q is a multiple of p.
First 10 Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450. |
In other words, the multiples of 45 are defined as a list of numbers that are divided by 45 and leave a number “0” as a remainder. In simple words, the multiples of 45 are the numbers that are exactly divided by 45.
For instance, 180, 225, 630, 720 are all multiples of 45 for the following reasons:
| 180 | = | 45 | × | 4 |
| 225 | = | 45 | × | 5 |
| 630 | = | 45 | × | 14 |
| 720 | = | 45 | × | 16 |
In other words, 180/45 = 4, and remainder = 0
Similarly, 225/45 = 5, and remainder = 0
630/45 = 14, and remainder = 0
720/45 = 16, and remainder = 0
So, the numbers 180, 225, 630, 720 are all multiples of 45, as they are exactly divided by 45.
Also, read: Multiples of a Number.
First 20 Multiples of 45
The list of the first 20 multiples of 45 are as follows:
Multiplication of 45 with Natural Numbers | Multiples of 45 |
45 × 1 | 45 |
45 × 2 | 90 |
45 × 3 | 135 |
45 × 4 | 180 |
45 × 5 | 225 |
45 × 6 | 270 |
45 × 7 | 315 |
45 × 8 | 360 |
45 × 9 | 405 |
45 × 10 | 450 |
45 × 11 | 495 |
45 × 12 | 540 |
45 × 13 | 585 |
45 × 14 | 630 |
45 × 15 | 675 |
45 × 16 | 720 |
45 × 17 | 765 |
45 × 18 | 810 |
45 × 19 | 855 |
45 × 20 | 900 |
Video Lesson on Common Multiples
Multiples of 45 Examples
Example 1:
From the following list of numbers, find the multiples of 45: 540, 270, 355, 810, 850.
Solution:
Given numbers: 540, 270, 355, 810, and 850
The multiples of 45, as we all know, are the numbers that are exactly divisible by 45.
Thus, the multiples of 45 from the given numbers are 540, 270, and 810.
Numbers like 355 and 850, on the other hand, are not multiples of 45 as they leave a remainder.
Example 2:
Find the first 3 even multiple of 45.
Solution:
We know that the first 3 even numbers are 2, 4 and 6.
Therefore, 45 × 2 = 90
45 × 4= 180
45 × 6 = 270
Hence, the first 3 even multiples of 45 are 90, 180, and 270.
Related Articles:
| Multiples of 2 | Multiples of 3 |
| Multiples of 4 | Multiples of 13 |
| Multiples of 17 | Multiples of 70 |
To learn more on multiples of different numbers, visit BYJU’S – The Learning App and download the app to learn quickly by exploring more videos.
Frequently Asked Questions on Multiples of 45
Q1
What are the multiples of 45?
The multiples of 45 are the numbers that can be represented in the form of 45n, where n is a natural number.
Q2
Write the first 10 multiples of 45?
The first 10 multiples of 45 are 45, 90, 135, 180, 225, 270, 315, 360, 405, 450.
Q3
Is 5 a multiple of 45?
No, 5 is not a multiple of 45. But 45 is a multiple of 5.
Q4
What is the smallest common multiple of 45 and 90?
The smallest common multiple of 45 and 90 is 90.
Q5
Write the multiples of 45 between 85 and110.
The multiple of 45 between 85 and 110 is 90.
