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Multiples

What Are the Multiples of 7? | All Multiples of 7 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 7? | All Multiples of 7 up to 1000

What Are the Multiples of 7? | All Multiples of 7 up to 1000

Multiples of 7 are the numbers that don’t leave any remainder when divided by 7. The number 7 has an infinite number of multiples. To find multiples of 7, we need to either use repeated addition or the multiplication method. The first 5 multiples of 7 are 7, 14, 21, 28, and 35, and the prime factorization of 7 is 1 x 7.

In this article, we will discuss everything about multiples of 7 along with solved examples. Scroll down to find out more.

What Are the Multiples of 7?

Any number that can be written in the 7n form, where n is an integer, is considered a 7 multiple. For example, if there are two values, a and b, where b is the multiple of a, if b=na for some integer n, In simpler words, the list of numbers that don’t leave any remainder when divided by 7 is the number of 7 multiples.

First 10 multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 62, 70

How to Find Multiples of 7?

To find multiples of the number 7, we have to do repeated addition of the numeral 7 or multiply the digit 7 with a sequence of natural numbers. The steps to find 7 multiples using the repeated addition and multiplication method have been given below:

7 Multiples with Repeated Addition7 Multiples with Multiplication
7 + 7 =147 X 1 = 7
14 + 7= 217 X 2 = 14
21 + 7 = 287 X 3 = 21

What Are the First Twenty-7 Multiples?

Below is a table that shows 20 multiples of 7 using the multiplication method:

7 x 17
7 x 214
7 x 321
7 x 428
7 x 535
7 x 642
7 x 749
7 x 856
7 x 963
7 x 1070
7 x 1177
7 x 1284
7 x 1391
7 x 1498
7 x 15105
7 x 16112
7 x 17119
7 x 18126
7 x 19133
7 x 20140

What Are All the Multiples of 7 up to 1000?

Multiples of 7 up to 1000 have been tabulated below:

7142128354249566370
77849198105112119126133140
147154161168175182189196203210
224231238245252259266273280287
294301308315322329336343350357
364371378385392399406413420427
434442448455462469476483490497
504511518525532539546553560567
574581588585602609616623630637
644651658665672686693700707714
721728735742749756762770777784
791798805812819826833840847854
861868875882889896903910917924
931938945952959966973980987994

Properties of Multiples of 7

Here are some properties of 7 multiples you should keep in mind:

  • The smallest multiple of 7 is 7.
  • 7 is a multiple of 1. 7 x 1 = 7.
  • 7 has an infinite number of multiples.
  • 7 has odd and even multiples.
  • The multiples of the number 7 have common multiples of other numbers such as 2, 3, 4, etc.,

Solved Examples on Multiples of 7

Below are some solved examples that often come for students:

Question 1: How do you find multiples of 7?
Answer: You can find them by multiplying 7 by each number in the natural order such as 1, 2, 3, 4, 5, etc.
Example:
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21

Question 2: What is the sum of the first 5 multiples of 7?
Answer: The first 5 multiples of 7 are: 7, 14, 21, 28, and 35.
7 + 14 + 21 + 28 + 35 = 105.
Hence the sum of the first 5 multiples of 7 are 105.

Question 3: What are the multiples of 7 between 40 and 60?
Answer: There is a total of 3 multiples of 7 between 40 and 60.
42, 49, and 56 are the 7 multiples that fall between 40 and 60.

Question 4: What are the first 6 multiples of 7?
Answer: Here are the first six multiples of 7:
7 x 1 = 7.
7 x 2 = 14.
7 x 3 = 21.
7 x 4 = 28.
7 x 5 = 35.
7 x 6 = 42
Therefore the first 6 multiples of 6 are 7, 14, 21, 28, 35 and 42.

Question 5: Is 72 a multiple of 7 yes, or no?
Answer: No, 72 is not a 7 multiple. It is not multiple, as when divided by 7, it will leave a remainder of 2.

Question 6: Is 119 a multiple of 7 yes, or no?
Answer:
Yes, 119 is a 7 multiple, as 7 x 17 = 119.

FAQs on Multiples of 7

What is the least common multiple of 6 and 7?
42 is the least common multiple of 7. As 6 x 7 = 42 so it becomes the LCM of 6 and 7.

What are 5 multiples of 7?
7, 14, 21, 28, and 35 are the 5 multiples of 7.

Are the multiples of 7 always even?
7 multiples are not even and odd as well.

What are the multiples of 7 up to 90?
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, and 84 are the 7 multiples that goes up to 90.

How many multiples does 7 have?
7 has an infinite amount of multiples.

The sum of three consecutive multiples of 7 is 777. Find the three numbers.
The three consecutive multiples of 7 that makes 777 are 252, 259 and 266.
7 x 36 = 252
7 x 37 = 259
7 x 38 = 266.

Find the average of the first 20 multiples of 7.
The sum of the first 20 multiples of 7 is =1470.
The average of the first 20 multiples of 7 is 73.5.

Find the average of the first 10 multiples of 7.
The average of the first 10 multiples of 7 is 73.5.

What is the average of the first five multiples of 7?
The average of the first 5 multiples of 7 is 21.

We hope that all of your questions on multiples of 7 have been answered

Written by

Prerit Jain

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