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Multiples

What are the Multiples of 42 | All Multiples of 42 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What are the Multiples of 42 | All Multiples of 42 up to 1000

What are the Multiples of 42 | All Multiples of 42 up to 1000

The first ten multiples of 42 are presented as follows: 42, 84, 126, 168, 210, 252, 294, 336, 378, and 420.

The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42.

To find the multiples of 42, you need to perform a repeated addition of the number 42 or multiply the number 42 with a sequence of natural numbers.

Alternatively, the multiples of 42 are the numbers that when divided by 42 do not leave any remainder.

What are the first five multiples of 42

The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42. Alternatively, the multiples of 42 are the numbers that when divided by 42 do not leave any remainder.

To find the multiples of 42, you need to perform a repeated addition of the number 42 or multiply the number 42 with a sequence of natural numbers.

Step 1: To find the first multiple of 42, multiply 42 by 1. 42 x 1 = 42.

Step 2: To find the second multiple of 42, multiply 42 by 2. 42 x 2 = 84. Alternatively, you can add 42 to the first multiple to get the second multiple of 42. 42 + 42 = 84.

Step 3: Multiply 42 by 3 to get the third multiple of 42. 42 x 3 = 126. Alternatively, you can add 42 two times to the second multiple to get the third multiple of 42. 84 + 42 = 126.

Step 4: The fourth multiple of 42 can be found by multiplying 42 by 4. 42 x 4 = 168. Alternatively, you can add 42 three times to the third multiple to get the fourth multiple of 42. 126 + 42 = 168.

Step 5: To find the fifth multiple of 42, you need to multiply 42 by 5. 42 x 5 = 210. Alternatively, you can add 42 four times to the fourth multiple to get the fifth multiple of 42. 168 + 42 = 210.

Therefore, the first 5 multiples of 42 are 42, 84, 126, 168, and 210.

How to find the Multiples of 42

To find the multiples of 42 two methods can be used. The first few multiples of 42 are listed as follows: 42, 84, 126, 168, 210, and so on. The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42.

Finding multiples of 42 using the repeated addition method

The first multiple of 42 is 42 itself. To find the second multiple of 42, we add 42 to the first multiple, which gives 84. Continuing this process, we can obtain the third, fourth, and so on multiples of 42. An example of the first five multiples of 42 using the repeated addition method is given below:

42

42 + 42 = 84

84 + 42 = 126

126 + 42 = 168

168 + 42 = 210

Finding the multiples of 42 using the multiplication method

We can find the multiples of 42 by multiplying 42 with a sequence of natural numbers. For instance, the first five multiples of 42 obtained by multiplying 42 with a sequence of natural numbers are

42 x 142
42 x 284
42 x 3126
42 x 4168
42 x 5210

Finding the first 20 multiples of 42

To find the first 20 multiples of 42 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 42 to find the corresponding multiples. The first 20 multiples of 42 are given below:

42 x 142
42 x 284
42 x 3126
42 x 4168
42 x 5210
42 x 6252
42 x 7294
42 x 8336
42 x 9378
42 x 10420
42 x 11462
42 x 12504
42 x 13546
42 x 14588
42 x 15630
42 x 16672
42 x 17714
42 x 18756
42 x 19798
42 x 20840
First 20 multiples of 42

What are the multiples of 42 up to 1000

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378420462504546588630672
714756798840882924966
Multiples of 42 up to 1000

Difference between Multiples and Factors of 42

In mathematics multiples and factors are two very different concepts. 

Multiples Factors
The multiples of 42 are the numbers that are obtained by multiplying 42 with any integer (positive or negative). For example, the first few multiples of 42 are 42, 84, 126, 168, 210, 252, 294, and so on. In other words, multiples of 42 are numbers that can be expressed in form 42n, where n is an integer.The numbers that divide 42 exactly without leaving any remainder are the factors of 42. The factors of 42 are shown as folows 1, 2, 3, 6, 7, 14, 21, and 42. In other words, these are the numbers that when multiplied together, produce 42 as a result.
Difference between multiples and factors of 42

To summarize, factors are numbers that divide a given number exactly, while multiples are numbers that are obtained by multiplying two numbers. It is important to note that 42 is a multiple of itself, and 1 and 42 are factors of 42.

Solved Examples for Multiples of 42

  1. What is the 3rd multiple of 42?

Solution: The 3rd multiple of 42 can be found by multiplying 42 by 3, which gives us 126.

  1. What is the 8th multiple of 42?

Solution: The 8th multiple of 42 can be found by multiplying 42 by 8, which gives us 336.

  1. Is 588 a multiple of 42?

Solution: To check whether 588 is a multiple of 42, we need to divide it by 42. If it divides exactly, then it is a multiple of 42. Here, 588/42 = 14, which means that 588 is a multiple of 42.

  1. Find the first 4 multiples of 42.

Solution: The first 4 multiples of 42 are: 42, 84, 126, 168.

  1. If x is a multiple of 42, then what is 3x?

Solution: If x is a multiple of 42, then it can be expressed as x = 42n, where n is an integer. Multiplying both sides by 3, we get: 3x = 3(42n) = 126n. Therefore, 3x is also a multiple of 42.

FAQs on Multiples of 42

What are some common multiples of 42 and 56?

The common multiples of 42 and 56 are the numbers that are multiples of both 42 and 56. Some of the common multiples of 42 and 56 are 168, 336, 504, 672, and so on.

Is 42 a multiple of 7?

Yes, 42 is a multiple of 7. In fact, 42 is the 6th multiple of 7, since 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, and 7 x 6 = 42.

What is the smallest positive multiple of 42?

The smallest positive multiple of 42 is 42 itself.

What is the sum of the first 6 multiples of 42?

To find the sum of the first 6 multiples of 42, we can use the formula for the sum of an arithmetic series: S = n/2 (a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. Here, a = 42, l = 252, and n = 6. Plugging in the values, we get: S = 6/2 (42 + 252) = 6 x 147 = 882. Therefore, the sum of the first 6 multiples of 42 is 882.

Is 105 a multiple of 42?

To check whether 105 is a multiple of 42, we need to divide it by 42. If it divides exactly, then it is a multiple of 42. Here, 105/42 = 2 remainder 21, which means that 105 is not a multiple of 42.

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Prerit Jain

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