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.

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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 Addition	7 Multiples with Multiplication
7 + 7 =14	7 X 1 = 7
14 + 7= 21	7 X 2 = 14
21 + 7 = 28	7 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 1	7
7 x 2	14
7 x 3	21
7 x 4	28
7 x 5	35
7 x 6	42
7 x 7	49
7 x 8	56
7 x 9	63
7 x 10	70
7 x 11	77
7 x 12	84
7 x 13	91
7 x 14	98
7 x 15	105
7 x 16	112
7 x 17	119
7 x 18	126
7 x 19	133
7 x 20	140

What Are All the Multiples of 7 up to 1000?

Multiples of 7 up to 1000 have been tabulated below:

7	14	21	28	35	42	49	56	63	70
77	84	91	98	105	112	119	126	133	140
147	154	161	168	175	182	189	196	203	210
224	231	238	245	252	259	266	273	280	287
294	301	308	315	322	329	336	343	350	357
364	371	378	385	392	399	406	413	420	427
434	442	448	455	462	469	476	483	490	497
504	511	518	525	532	539	546	553	560	567
574	581	588	585	602	609	616	623	630	637
644	651	658	665	672	686	693	700	707	714
721	728	735	742	749	756	762	770	777	784
791	798	805	812	819	826	833	840	847	854
861	868	875	882	889	896	903	910	917	924
931	938	945	952	959	966	973	980	987	994

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.

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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