Multiples of 45
A multiple of 45 is a number that can be divided by another number without a remainder. Multiples of 45 are what we get after multiplying the number 45 by an integer (not a fraction). In other words, multiples of 45 are sets of numbers that correspond to a number that is in base and has been multiplied by other numbers. It is the product result of one number multiplied by another number.
In this mini-lesson, we will calculate the multiples of 45, and interesting facts about these multiples.
- First five multiples of 45: 45, 90, 135, 180, and 225
- Prime Factorization of 45: 45 = 3 × 3 × 5
| 1. | What are the Multiples of 45? |
| 2. | First 20 Multiples of 45 |
| 3. | Important Notes |
| 4. | FAQs on Multiples of 45 |
What are the Multiples of 45?
To get multiples of a number, we need to multiply natural numbers with integers. For example, 45 × 2 = 90, 90 is a multiple of 45 and also a multiple of 5. Now let us consider the first 5 multiples of 45,
- 45 × 1 = 45
- 45 × 2 = 90
- 45 × 3 = 135
- 45 × 4 = 180
- 45 × 5 = 225
According to this, the first five multiples of 45 you just learned are 45, 90, 135, 180, 225.
List of First 20 Multiples of 45
The first 20 multiples of 45 will be the product of natural numbers from 1-20 with 45. In the above section, you have learned about the first 5 multiples of 45. In this section, you will be finding the next 15 multiples of 45
| First 20 Multiples of 45 | |
| 45 × 1 = 45 | 45 × 11 = 495 |
| 45 × 2 = 90 | 45 × 12 = 540 |
| 45 × 3 = 135 | 45 × 13 = 585 |
| 45 × 4 = 180 | 45 × 14 = 630 |
| 45 × 5 = 225 | 45 × 15 = 675 |
| 45 × 6 = 270 | 45 × 16 = 720 |
| 45 × 7 = 315 | 45 × 17 = 765 |
| 45 × 8 = 360 | 45 × 18 = 810 |
| 45 × 9 = 405 | 45 × 19 = 855 |
| 45 × 10 = 450 | 45 × 20 = 900 |
Hurray! In the end, you have a total of 20 multiples of 45 are 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900.
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 30 - The first five multiples of 30 are 30, 60, 90, 120, 150
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80 and 100
- Multiples of 36 - The first five multiples of 36 are 36, 72, 108, 144, 180
- Multiples of 13 - The first five multiples of 13 are 13, 26, 39, 52, 65
- Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, 35
Important Notes:
- First 5 multiples of 45 are 45, 90, 135, 180, and 225.
- If X is a multiple of a and b, it means a × b = X.
- A multiple is termed to be a common multiple if it is common to two or more numbers.
Example:
45 × 2 = 90
2 × 45 = 90
Here, 90 is a common multiple of 45 and 2.
Challenging Questions:
- Find the first 10 odd multiples of 45.
- Find the first 5 even multiples of 45.
- Find the common multiples of 45 and 5.
FAQs on Multiples of 45
How many multiples does 45 have?
There are infinite multiples of 45. The first five multiples of 45 are 45, 90, 135, 180, and 225.
Are the multiples of 45 always odd? Explain.
Odd numbers are those numbers that are not divisible by 2. Even numbers are those numbers that are divisible by 2. Hence, 45 is not divisible by 2 it is an odd number.
But, there are infinite odd and even multiples of 45.
For example,
- 45×4 = 180
- 45×6 = 270
180 and 270 are even multiples of 45.
- 45×1 = 45
- 45×3 = 135
135 and 225 are odd multiples of 45.
What are the first 20 multiples of 45?
The first 20 multiples of 45 are 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855 and 900.
What are the common multiple of 45 and 2?
A multiple is termed to be a common multiple if it is common to two or more numbers.
Example:
- 45 × 2 = 90
- 2 × 45 = 90
Here, 90 is a common multiple of 45 and 2.
Common multiples of 45 and 2 are infinite.
What are the first five multiples of 45?
First 5 multiples of 45 are 45, 90, 135, 180, and 225.