Multiples
What are the Multiples of 45 | All Multiples of 45 up to 1000
Written by Prerit Jain
Updated on: 12 Aug 2023
Contents
What are the Multiples of 45 | All Multiples of 45 up to 1000
The first ten multiples of 45 are listed as follows: 45, 90, 135, 180, 225, 270, 315, 360, 405, and 450.
By multiplying the number 45 with a sequence of natural numbers then we can obtain the sequence of numbers that are multiples of 45.
The difference between any two consecutive numbers in the sequence of multiples of 45 is always 45.
To find the multiples of 45, you need to perform a repeated addition of the number 45 or multiply the number 45 with a sequence of natural numbers.
Alternatively, the multiples of 45 are the numbers that when divided by 45 do not leave any remainder.
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What are the first five multiples of 45
By multiplying the number 45 with a sequence of natural numbers then we can obtain the sequence of numbers that are multiples of 45.
The difference between any two consecutive numbers in the sequence of multiples of 45 is always 45.
Alternatively, the multiples of 45 are the numbers that when divided by 45 do not leave any remainder.
To find the multiples of 45, you need to perform a repeated addition of the number 45 or multiply the number 45 with a sequence of natural numbers.
Step 1: To find the first multiple of 45, multiply 45 by 1. 45 x 1 = 45.
Step 2: To find the second multiple of 45, multiply 45 by 2. 45 x 2 = 90. Alternatively, you can add 45 to the first multiple to get the second multiple of 45. 45 + 45 = 90.
Step 3: To get the third multiple of 45 multiply 45 by 3. 45 x 3 = 135. Alternatively, you can add 45 two times to the second multiple to get the third multiple of 45. 90 + 45 = 135.
Step 4: The fourth multiple of 45 can be found by multiplying 45 by 4. 45 x 4 = 180. Alternatively, you can add 45 three times to the third multiple to get the fourth multiple of 45. 135 + 45 = 180.
Step 5: To find the fifth multiple of 45, you need to multiply 45 by 5. 45 x 5 = 225. Alternatively, you can add 45 four times to the fourth multiple to get the fifth multiple of 45. 180 + 45 = 225.
Therefore, the first 5 multiples of 45 are shown as follows 45, 90, 135, 180, and 225.
How to find the Multiples of 45
To find the multiples of 45 two methods can be used. The first few multiples of 45 are listed as follows: 45, 90, 135, 180, 225, and so on. By multiplying the number 45 with a sequence of natural numbers then we can obtain the sequence of numbers that are multiples of 45. The difference between any two consecutive numbers in the sequence of multiples of 45 is always 45.
Finding multiples of 45 using the repeated addition method
The first multiple of 45 is 45 itself. To find the second multiple of 45, we add 45 to the first multiple, which gives 90. Continuing this process, we can obtain the third, fourth, and so on multiples of 45. An example of the first five multiples of 45 using the repeated addition method is given below:
45
45 + 45 = 90
90 + 45 = 135
135 + 45 = 180
180 + 45 = 225
Finding the multiples of 45 using the multiplication method
We can find the multiples of 45 by multiplying 45 with a sequence of natural numbers. For example, the first five multiples of 45 obtained by multiplying 45 with a sequence of natural numbers are
| 45 x 1 | 45 |
| 45 x 2 | 90 |
| 45 x 3 | 135 |
| 45 x 4 | 180 |
| 45 x 5 | 225 |
Finding the first 20 multiples of 45
To find the first 20 multiples of 45 using the multiplication method, we can follow similar steps as above. First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 45 to find the corresponding multiples. The first 20 multiples of 45 are listed below:
| 45 x 1 | 45 |
| 45 x 2 | 90 |
| 45 x 3 | 135 |
| 45 x 4 | 180 |
| 45 x 5 | 225 |
| 45 x 6 | 270 |
| 45 x 7 | 315 |
| 45 x 8 | 360 |
| 45 x 9 | 405 |
| 45 x 10 | 450 |
| 45 x 11 | 495 |
| 45 x 12 | 540 |
| 45 x 13 | 585 |
| 45 x 14 | 630 |
| 45 x 15 | 675 |
| 45 x 16 | 720 |
| 45 x 17 | 765 |
| 45 x 18 | 810 |
| 45 x 19 | 855 |
| 45 x 20 | 900 |
What are the multiples of 45 up to 1000
| 45 | 90 | 135 | 180 | 225 | 270 | 315 | 360 |
| 405 | 450 | 495 | 540 | 585 | 630 | 675 | 720 |
| 765 | 810 | 855 | 900 | 945 | 990 | – | – |
| – | – | – | – | – | – | – | – |
Difference between Multiples and Factors of 45
In mathematics multiples and factors are two very different concepts.
| Multiples | Factors |
| The multiples of 45 are the numbers that can be obtained by multiplying 45 with other integers. The multiples of 45 are shown as 45, 90, 135, 180, 225, and many more. | The factors of 45 are the numbers that can be multiplied together to get 45. The factors of 45 are listed as follows 1, 3, 5, 9, 15, and 45. These are the numbers that divide 45 without leaving a remainder. |
In summary, the factors of 45 are 1, 3, 5, 9, 15, and 45, while the multiples of 45 are an infinite set of numbers that can be obtained by multiplying 45 with other integers.
Solved Examples for Multiples of 45
- What is the 7th multiple of 45?
Solution: To find the 7th multiple of 45, we simply multiply 45 by 7. Therefore, the 7th multiple of 45 is 45 x 7 = 315.
- Find the sum of the first 5 multiples of 45.
Solution: The first 5 multiples of 45 are 45, 90, 135, 180, and 225. To find the sum of these numbers, we add them up: 45 + 90 + 135 + 180 + 225 = 675.
- What is the least common multiple (LCM) of 45 and 75?
Solution: The multiples of 45 are 45, 90, 135, 180, 225, and so on. The multiples of 75 are 75, 150, 225, 300, and so on. The least common multiple of 45 and 75 is the smallest number that is a multiple of both 45 and 75. From the lists of multiples above, we can see that the LCM of 45 and 75 is 225.
- Find the product of the first 3 even multiples of 45.
Solution: The first 3 even multiples of 45 are 90, 180, and 270. To find their product, we simply multiply them together: 90 x 180 x 270 = 4374000.
- How many multiples of 45 are there between 300 and 600?
Solution: To find the number of multiples of 45 between 300 and 600, we need to find the first multiple of 45 greater than or equal to 300 and the last multiple of 45 less than or equal to 600. The first multiple of 45 greater than or equal to 300 is 315, and the last multiple of 45 less than or equal to 600 is 585. We can count the multiples of 45 between 315 and 585 by dividing the difference by 45 and adding 1 (to include both endpoints): (585 – 315) ÷ 45 + 1 = 7. Therefore, there are 7 multiples of 45 between 300 and 600.
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FAQs on Multiples of 45
What is a multiple of 45?
A multiple of 45 is any number that can be expressed as the product of 45 and an integer. In other words, if you can divide a number by 45 and get a whole number, then it is a multiple of 45.
What are the first five multiples of 45?
The first five multiples of 45 are 45, 90, 135, 180, and 225.
What is the largest multiple of 45 that is less than 1000?
To find the largest multiple of 45 that is less than 1000, we can divide 1000 by 45 and find the largest whole number less than the result. Doing this calculation, we get 22 as the largest whole number less than 1000/45. Therefore, the largest multiple of 45 that is less than 1000 is 45 x 22 = 990.
How can I find the common multiples of 45 and another number?
To find the common multiples of 45 and another number, you can list the multiples of each number and look for the ones that appear in both lists. For example, if you want to find the common multiples of 45 and 60, you can list the multiples of each: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450… and 60, 120, 180, 240, 300, 360, 420, 480, 540, 600… The common multiples are 180, 360, and 540 since they appear in both lists.
What is the relationship between multiples and factors of 45?
The factors of 45 are the numbers that can divide 45 without leaving a remainder. The multiples of 45 are the numbers that can be obtained by multiplying 45 by any integer. So, for example, 45 has factors of 1, 3, 5, 9, 15, and 45, and its multiples include 90, 135, 180, and so on.
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