Multiples
What are the Multiples of 43 | All Multiples of 43 up to 1000
Written by Prerit Jain
Updated on: 12 Aug 2023
Contents
What are the Multiples of 43 | All Multiples of 43 up to 1000
The first ten multiples of 43 are listed as follows: 43, 86, 129, 172, 215, 258, 301, 344, 387, and 430.
The multiples of 43 are a sequence of numbers that can be obtained by multiplying the number 43 with a sequence of natural numbers.
The difference between any two consecutive numbers in the sequence of multiples of 43 is always 43.
To find the multiples of 43, you need to perform a repeated addition of the number 43 or multiply the number 43 with a sequence of natural numbers.
Alternatively, the multiples of 43 are the numbers that when divided by 43 do not leave any remainder.
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What are the first five multiples of 43
The multiples of 43 are a sequence of numbers that can be obtained by multiplying the number 43 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 43 is always 43.
Alternatively, the multiples of 43 are the numbers that when divided by 43 do not leave any remainder.
To find the multiples of 43, you need to perform a repeated addition of the number 43 or multiply the number 43 with a sequence of natural numbers.
Step 1: To find the first multiple of 43, multiply 43 by 1. 43 x 1 = 43.
Step 2: To find the second multiple of 43, multiply 43 by 2. 43 x 2 = 86. Alternatively, you can add 43 to the first multiple to get the second multiple of 43. 43 + 43 = 86.
Step 3: Multiply 43 by 3 to get the third multiple of 43. 43 x 3 = 129. Alternatively, you can add 43 two times to the second multiple to get the third multiple of 43. 86 + 43 = 129.
Step 4: The fourth multiple of 43 can be found by multiplying 43 by 4. 43 x 4 = 172. Alternatively, you can add 43 three times to the third multiple to get the fourth multiple of 43. 129 + 43 = 172.
Step 5: To find the fifth multiple of 43, you need to multiply 43 by 5. 43 x 5 = 215. Alternatively, you can add 43 four times to the fourth multiple to get the fifth multiple of 43. 172 + 43 = 215.
Therefore, the first 5 multiples of 43 are 43, 86, 129, 172, and 215.
How to find the Multiples of 43
To find the multiples of 43 two methods can be used. The first few multiples of 43 are listed as follows: 43, 86, 129, 172, 215, and so on. The multiples of 43 are a sequence of numbers that can be obtained by multiplying the number 43 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 43 is always 43.
Finding multiples of 43 using the repeated addition method
The first multiple of 43 is 43 itself. To find the second multiple of 43, we add 43 to the first multiple, which gives 86. Continuing this process, we can obtain the third, fourth, and so on multiples of 43. An example of the first five multiples of 43 using the repeated addition method is given below:
43
43 + 43 = 86
86 + 43 = 129
129 + 43 = 172
172 + 43 = 215
Finding the multiples of 43 using the multiplication method
We can find the multiples of 43 by multiplying 43 with a sequence of natural numbers. For example, the first five multiples of 43 obtained by multiplying 43 with a sequence of natural numbers are:
| 43 x 1 | 43 |
| 43 x 2 | 86 |
| 43 x 3 | 129 |
| 43 x 4 | 172 |
| 43 x 5 | 215 |
Finding the first 20 multiples of 43
To find the first 20 multiples of 43 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 43 to find the corresponding multiples. The first 20 multiples of 43 are given below:
| 43 x 1 | 43 |
| 43 x 2 | 86 |
| 43 x 3 | 129 |
| 43 x 4 | 172 |
| 43 x 5 | 215 |
| 43 x 6 | 258 |
| 43 x 7 | 301 |
| 43 x 8 | 344 |
| 43 x 9 | 387 |
| 43 x 10 | 430 |
| 43 x 11 | 473 |
| 43 x 12 | 516 |
| 43 x 13 | 559 |
| 43 x 14 | 602 |
| 43 x 15 | 645 |
| 43 x 16 | 688 |
| 43 x 17 | 731 |
| 43 x 18 | 774 |
| 43 x 19 | 817 |
| 43 x 20 | 860 |
What are the multiples of 43 up to 1000
| 43 | 86 | 129 | 172 | 215 | 258 | 301 | 344 |
| 387 | 430 | 473 | 516 | 559 | 602 | 645 | 688 |
| 731 | 774 | 817 | 860 | 903 | 946 | 989 | – |
| – | – | – | – | – | – | – | – |
Difference between Multiples and Factors of 43
In mathematics multiples and factors are two very different concepts.
| Multiples | Factors |
| The multiples of 43 are the numbers that can be obtained by multiplying 43 by any integer (positive or negative). The first few multiples of 43 are 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, … In other words, multiples of 43 are numbers that can be expressed in form 43n, where n is an integer. | The factors of 43 are the numbers that divide 43 exactly without leaving any remainder. As 43 is a prime number, it only has two factors: 1 and 43. Therefore, 1 and 43 are the only positive integers that are factors of 43. |
In summary, the multiples of 43 are the numbers obtained by multiplying 43 by any integer, while the factors of 43 are only 1 and 43.
Solved Examples for Multiples of 43
- What is the 10th multiple of 43?
To find the 10th multiple of 43, we multiply 43 by 10: 43 x 10 = 430. Therefore, the 10th multiple of 43 is 430.
- Which is the smallest multiple of 43 that is greater than 200?
To find the smallest multiple of 43 that is greater than 200, we divide 200 by 43 and take the next highest integer. 200 ÷ 43 = 4 with a remainder of 28. Therefore, the smallest multiple of 43 that is greater than 200 is 43 x 5 = 215.
- What are the first 5 multiples of 43?
To find the first 5 multiples of 43, we multiply 43 by each of the first 5 positive integers: 43 x 1 = 43, 43 x 2 = 86, 43 x 3 = 129, 43 x 4 = 172, and 43 x 5 = 215. Therefore, the first 5 multiples of 43 are 43, 86, 129, 172, and 215.
- What is the sum of the first 10 multiples of 43?
To find the sum of the first 10 multiples of 43, we add up the numbers obtained by multiplying 43 by each of the first 10 positive integers: 43 + 86 + 129 + 172 + 215 + 258 + 301 + 344 + 387 + 430 = 2365. Therefore, the sum of the first 10 multiples of 43 is 2365.
- What is the 7th multiple of 43 that is also a multiple of 11?
To find the 7th multiple of 43 that is also a multiple of 11, we need to find a multiple of 43 that is divisible by 11. We can start by listing the multiples of 43 and checking which ones are divisible by 11: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, … We see that the 4th multiple of 43, which is 172, is also divisible by 11. Therefore, the 7th multiple of 43 that is also a multiple of 11 is 43 x 4 x 11 = 172 x 11 = 1892.
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FAQs on Multiples of 43
What is the meaning of “multiples” in math?
Multiples refer to the numbers that result from multiplying a given number by any positive integer. For example, the multiples of 43 are the numbers obtained by multiplying 43 by 1, 2, 3, 4, and so on.
How do you identify a multiple of 43?
To identify a multiple of 43, you need to check if the number is the result of multiplying 43 by any positive integer. For example, 43 x 1 = 43, 43 x 2 = 86, 43 x 3 = 129, and so on. Therefore, any number that can be expressed as 43 times any positive integer is a multiple of 43.
What is the relationship between factors and multiples of 43?
The factors of 43 are the numbers that divide 43 without leaving a remainder. Since 43 is a prime number, it only has two factors, which are 1 and 43. On the other hand, the multiples of 43 are the numbers obtained by multiplying 43 by any positive integer. Therefore, the factors of 43 are only 1 and 43, while the multiples of 43 are infinite.
Can a multiple of 43 be an even number?
Yes, a multiple of 43 can be an even number. For example, 43 x 2 = 86, which is an even number. The evenness or oddness of a multiple depends on the positive integer by which the original number is multiplied.
What are some practical applications of multiples of 43?
Multiples of 43 can be used in various real-life situations, such as calculating time intervals or distances. For example, if a car travels at a speed of 43 miles per hour, then the distance covered in any given time interval can be expressed as a multiple of 43. Similarly, if a train departs every 43 minutes, then the arrival times can be expressed as multiples of 43.
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