Multiples of 7 – All the Multiples of 7 up to 1000

What are the multiples of 7?
Quick calculation: A number is a multiple of 7 if it equals 7 × any whole number (e.g., 7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21, 7 × 4 = 28, 7 × 5 = 35, and so on).
To check quickly, divide the number by 7 — if the result is a whole number with no remainder, it’s a multiple of 7.

This article includes a convenient multiples of 7 calculator — just enter any number or range and get an instant list of multiples.

Understanding multiples of 7 is a key skill in the U.S. Common Core State Standards for Mathematics, covered in 4th grade math under Operations & Algebraic Thinking (standard 4.OA.B.4). Students learn to determine whether a whole number is a multiple of a given one-digit number, recognize the relationship between factors and multiples, and apply them to solve real-world problems.

If you are interested in numbers, you might want to learn how to express these numbers in Chinese.

What are Multiples of 7?

Multiples of 7 are numbers that leave no remainder when divided by 7. In other words, any number that’s evenly divisible by 7 is a multiple of 7. There are an infinite number of multiples of 7 because you can multiply 7 by any integer, positive integers, negative integers, and zero. Formally, multiples of 7 can be written as 7 × n, where “n”  is any integer

For example, multiplying 7 by the integers 1 through 14 gives the first 14 positive multiples of 7. These include 7, 14, 21, 28, 35, 42, and so on, as shown in the image below:

Multiples of 7 Online Calculator

List of Multiples of 7

The following table lists 20 infinite multiples of 7 by multiplication:

Multiplication	Multiples of 7
7 x 1	7
7 x 7	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

In general, for two values, a and b, b is a multiple of a if b = a * n.

What Are all the Multiples of 7 up to 1000?

The multiples of 7 up to 1000 are: 7, 14, 21, 28, 35, …, 994. These numbers are all divisible by 7 without leaving a remainder. Each multiple is obtained by multiplying 7 by a whole number, illustrating how multiplication can be used to identify factors within a specific range. Below is a complete table of all the multiples of 7 up to 1000:

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
217	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	441	448	455	462	469	476	483	490
497	504	511	518	525	532	539	546	553	560
567	574	581	588	595	602	609	616	623	630
637	644	651	658	665	672	679	686	693	700
707	714	721	728	735	742	749	756	763	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

This format allows for an easy overview of the multiples of 7 up to 1000.

How many Multiples of 7 are there between 100 and 1000?

There are 128 multiples of 7 between 100 and 1000.

To see how this is calculated:

• Step 1. Identifying the smallest multiple of 7 greater than or equal to 100: 100 ÷ 7 ≈ 15

Rounding upwards gives 15, so the smallest multiple of 7 is: 15 x 7 = 105
（Smallest multiple ≥ 100: 100 ÷ 7 ≈ 15 → 15 × 7 = 105）

• Step 2. Identifying the largest multiple of 7 less than or equal to 1000: 1000 ÷ 7 ≈ 142

Rounding down gives 142, so the largest multiple of 7 is: 142 x 7 = 994
（Largest multiple ≤ 1000: 1000 ÷ 7 ≈ 142 → 142 × 7 = 994）

• Step 3. Counting numbers of the multiples of 7 from 105 to 994: 105, 112, 119, 126, 133, 140, ..., 994

The common difference of this sequence of numbers is 7, the first term is 105 and the last is 994. The method for finding the number of terms: n = (994-105) ÷ 7 + 1 = 128
（Count the multiples: The sequence is 105, 112, 119, …, 994.）

Thus, there are 128 multiples of 7 between 100 and 1000.

What are the Least Common Multiples of 7?

The least common multiple (LCM) of 7 and another number is the smallest number that is divisible by both 7 and that number.

Since 7 is a prime number, the LCM of 7 and any other number n is simply 7 × n (unless "n" is a multiple of 7).

If you are looking for the least common multiples of 7 with other numbers, here are a few examples:

• LCM(7, 1) = 7
• LCM(7, 2) = 14
• LCM(7, 3) = 21
• LCM(7, 4) = 28
• LCM(7, 5) = 35
• LCM(7, 6) = 42
• LCM(7, 8) = 56
• LCM(7, 9) = 63
• LCM(7, 10) = 70

And so on, with each LCM being a multiple of 7.

Solved Examples on Multiples of 7

Here are some examples of solved problems that provide answers to common questions about multiples of 7:

Q.1: What is the average of the first ten multiples of 7?

Answer: The average of the first ten multiples of 7 is equal to the sum of all multiples divided by 10.

Average = (7+14+21+28+35+42+49+56+63+70) ÷ 10

= 385 ÷ 10

= 38.5

Therefore, the required average is 38.5.

Q.2: 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.

Q.3: What are the multiples of 7 that are less than 40?

Answer: The multiples of natural number 7, which are less than 40 are 7, 14, 21, 28, 35.

Q.4: What is the least common multiple of 6 and 7?

Answer: To find the least common multiple of 6 and 7, first we will write the multiples of each of the numbers.

• Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
• Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

Therefore, we can see, the LCM of 6 and 7 is 42.

How to explain multiples of 7 simply to a child？

The easiest way to explain multiples of 7 is to use things children already know. Here are three simple methods:

• The "Calendar" Method: This is the best way! Tell them that multiples of 7 are just "full weeks." 1 week is 7 days, 2 weeks are 14 days, and 3 weeks are 21 days. Every time a week passes, you’ve hit a multiple of 7.
• The "Frog Leap" Story: Imagine a frog that only jumps 7 steps at a time. Every spot where the frog lands is a multiple.
  • First jump: 7
  • Second jump: 14
  • Third jump: 21
• The "Snow White" Rule: If Snow White has 1 group of Seven Dwarfs, she has 7 friends. If there were 2 groups of Seven Dwarfs, she would have 14 friends. Each new group adds another multiple of 7.

How many multiples of 7 are in 100?

There are 14 multiples of 7 that fit inside 100.

To find this, you can use a simple division:

• 100÷7=14100÷7=14 with a remainder of 22.

This means the number 7 can fit into 100 exactly 14 times. If you try to find the 15th multiple (7×157×15), you get 105, which is too big for our 100 limit.

The list inside 100 is: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98.

What are the multiples of 7 up to 150?

Here is the complete list of multiples of 7, organized to make them easy to read:

The first 10 (1-70):
7, 14, 21, 28, 35, 42, 49, 56, 63, 70

The next 10 (71-140):
77, 84, 91, 98, 105, 112, 119, 126, 133, 140

The final one under 150:
147

(The next one would be 154, which is over the 150 limit.)

Multiplication Tables

Multiplication Tables From 1-24

This collection of multiplication resources is designed to support mastery of Common Core State Standards for Operations and Algebraic Thinking. Specifically, it aligns with CCSS.MATH.CONTENT.3.OA.C.7, which requires students to fluently multiply and divide within 100, and 4.OA.B.4, focusing on factors and multiples. By exploring these tables, learners develop the algebraic foundation necessary for mental math fluency and higher-level problem solving.

Multiplication Chart 1 to 20	Multiplication Tables
3 Times Table	4 Times Table
5 Times Table	6 Times Table
7 Times Table (this)	8 Times Table
9 Times Table	10 Times Table
11 Times Table	12 Times Table
13 Times Table	14 Times Table
15 Times Table	16 Times Table
17 Times Table	18 Times Table
19 Times Table	20 Times Table
21 Times Table	22 Times Table
23 Times Table	24 Times Table

FAQs on Multiples of 7