Multiples
What are the Multiples of 46 | All Multiples of 46 up to 1000
Written by Prerit Jain
Updated on: 12 Aug 2023
Contents
What are the Multiples of 46 | All Multiples of 46 up to 1000
The first ten multiples of 46 are listed as follows: 46, 92, 138, 184, 230, 276, 322, 368, 414, and 460.
The multiples of 46 are a sequence of numbers that can be obtained by multiplying the number 46 with a sequence of natural numbers.
The difference between any two consecutive numbers in the sequence of multiples of 46 is always 46.
To find the multiples of 46, you need to perform a repeated addition of the number 46 or multiply the number 46 with a sequence of natural numbers.
Alternatively, the multiples of 46 are the numbers that when divided by 46 do not leave any remainder.
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What are the first five multiples of 46
The multiples of 46 are a sequence of numbers that can be obtained by multiplying the number 46 with a sequence of natural numbers.
The difference between any two consecutive numbers in the sequence of multiples of 46 is always 46.
Alternatively, the multiples of 46 are the numbers that when divided by 46 do not leave any remainder.
To find the multiples of 46, you need to perform a repeated addition of the number 46 or multiply the number 46 with a sequence of natural numbers.
Step 1: To find the first multiple of 46, multiply 46 by 1. 46 x 1 = 46.
Step 2: To find the second multiple of 46, multiply 46 by 2. 46 x 2 = 92. Alternatively, you can add 46 to the first multiple to get the second multiple of 46. 46 + 46 = 92.
Step 3: Multiply 46 by 3 to get the third multiple of 46. 46 x 3 = 138. Alternatively, you can add 46 two times to the second multiple to get the third multiple of 46. 92 + 46 = 138.
Step 4: The fourth multiple of 46 can be found by multiplying 46 by 4. 46 x 4 = 184. Alternatively, you can add 46 three times to the third multiple to get the fourth multiple of 46. 138 + 46 = 184.
Step 5: To find the fifth multiple of 46, you need to multiply 46 by 5. 46 x 5 = 230. Alternatively, you can add 46 four times to the fourth multiple to get the fifth multiple of 46. 184 + 46 = 230.
Therefore, the first 5 multiples of 46 are 46, 92, 138, 184, and 230.
How to find the Multiples of 46
To find the multiples of 46 two methods can be used. The first few multiples of 46 are listed as follows: 46, 92, 138, 184, 230, and so on. The multiples of 46 are a sequence of numbers that can be obtained by multiplying the number 46 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 46 is always 46.
Finding multiples of 46 using the repeated addition method
The first multiple of 46 is 46 itself. To find the second multiple of 46, we add 46 to the first multiple, which gives 92. Continuing this process, we can obtain the third, fourth, and so on multiples of 46. An example of the first five multiples of 46 using the repeated addition method is given below:
46
46 + 46 = 92
92 + 46 = 138
138 + 46 = 184
184 + 46 = 230
Finding the multiples of 46 using the multiplication method
We can find the multiples of 46 by multiplying 46 with a sequence of natural numbers. For example, the first five multiples of 46 obtained by multiplying 46 with a sequence of natural numbers are:
| 46 x 1 | 46 |
| 46 x 2 | 92 |
| 46 x 3 | 138 |
| 46 x 4 | 184 |
| 46 x 5 | 230 |
Finding the first 20 multiples of 46
To find the first 20 multiples of 46 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 46 to find the corresponding multiples. The first 20 multiples of 46 are given below:
| 46 x 1 | 46 |
| 46 x 2 | 92 |
| 46 x 3 | 138 |
| 46 x 4 | 184 |
| 46 x 5 | 230 |
| 46 x 6 | 276 |
| 46 x 7 | 322 |
| 46 x 8 | 368 |
| 46 x 9 | 414 |
| 46 x 10 | 460 |
| 46 x 11 | 506 |
| 46 x 12 | 552 |
| 46 x 13 | 598 |
| 46 x 14 | 644 |
| 46 x 15 | 690 |
| 46 x 16 | 736 |
| 46 x 17 | 782 |
| 46 x 18 | 828 |
| 46 x 19 | 874 |
| 46 x 20 | 920 |
What are the multiples of 46 up to 1000
| 46 | 92 | 138 | 184 | 230 | 276 | 322 | 368 |
| 414 | 460 | 506 | 552 | 598 | 644 | 690 | 736 |
| 782 | 828 | 874 | 920 | 966 | – | – | – |
| – | – | – | – | – | – | – | – |
Difference between Multiples and Factors of 46
In mathematics multiples and factors are two very different concepts.
| Multiples | Factors |
| Multiples of 46 are the numbers that are obtained by multiplying 46 with a sequence of natural numbers. The first five multiples of 46 are 46, 92, 138, 184, and 230. Notice that the difference between any two consecutive multiples of 46 is always 46, as 46 is a common factor in all of them. | Factors of 46 are the numbers that divide 46 evenly, leaving no remainder. The factors of 46 are 1, 2, 23, and 46. |
In summary, factors of 46 are the numbers that can divide 46 without leaving any remainder, while multiples of 46 are the numbers that are obtained by multiplying 46 with a sequence of natural numbers.
Solved Examples for Multiples of 46
- What is the 10th multiple of 46?
Solution: To find the 10th multiple of 46, we can multiply 46 by 10.
46 x 10 = 460
Therefore, the 10th multiple of 46 is 460.
- What are the first five multiples of 46?
Solution: To find the first five multiples of 46, we can use repeated addition or multiplication. Using multiplication:
46 x 1 = 46
46 x 2 = 92
46 x 3 = 138
46 x 4 = 184
46 x 5 = 230
Therefore, the first five multiples of 46 are 46, 92, 138, 184, and 230.
- Is 1034 a multiple of 46?
Solution: To determine if 1034 is a multiple of 46, we can divide 1034 by 46. If the result is a whole number, then 1034 is a multiple of 46.
1034 ÷ 46 = 22.478
Since the result is not a whole number, 1034 is not a multiple of 46.
- What is the smallest multiple of 46 that is also a multiple of 23?
Solution: To find the smallest multiple of 46 that is also a multiple of 23, we need to find the least common multiple of 46 and 23. We can find the prime factorization of each number:
46 = 2 x 23
23 = 23
The least common multiple is the product of the highest powers of all prime factors:
LCM(46, 23) = 2 x 23 = 46
Therefore, the smallest multiple of 46 that is also a multiple of 23 is 46.
- What is the sum of the first 20 multiples of 46?
Solution: To find the sum of the first 20 multiples of 46, we can use the formula for the sum of an arithmetic series:
S = n/2(2a + (n-1)d)
where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
In this case, a = 46, d = 46, and n = 20:
S = 20/2(2(46) + (20-1)(46))
S = 20/2(92 + 19(46))
S = 20/2(986)
S = 10(986)
S = 9860
Therefore, the sum of the first 20 multiples of 46 is 9860.
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FAQs on Multiples of 46
What are the first five multiples of 46?
The first five multiples of 46 are 46, 92, 138, 184, and 230.
Is 460 a multiple of 46?
Yes, 460 is a multiple of 46 because it can be divided evenly by 46.
How can I find the multiples of 46?
To find the multiples of 46, you can use the repeated addition method by adding 46 to itself to get the next multiple. Alternatively, you can multiply 46 by a sequence of natural numbers.
What is the common factor of all the multiples of 46?
The common factor of all the multiples of 46 is 46 itself because each multiple is a multiple of 46.
Is 45 a multiple of 46?
No, 45 is not a multiple of 46 because it cannot be divided evenly by 46.
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