Seven is considered a lucky number in many cultures around the world. For some, the number seven represents completeness and perfection. More so, in Pythagorean numerology, 7 represents spirituality.
This is because it comprises 4 and 3, which are physical and spiritual numbers, respectively. Not only does the number seven signify the jackpot on slot machines, but it is also significant for countless stories and folklore, religion, and philosophy.
It is no surprise why most people are drawn into the number 7. Are you getting excited to see the remarkable side of 7 and its multiples?
Multiples of are 77, 14, 21, 28, 35, 42, 49 …
A multiple of 7 is a numerical value formed by multiplying one natural number by another natural number or counting number. Do you notice something on the numbers above?
If you observe the numbers 7, 14, 21, 28, 32…, the difference between two consecutive numbers is always 7. Say
Amazing, right?
They are called multiples of 7 because every time we divide a number by 7, it will give us a remainder of zero.
Thus, to say that a number is a multiple of 7, it should be in the form of 7n where n is any natural number. In a nutshell, a multiple of 7 is formed when we multiply 7 by any counting number.
Now, let’s dive further into determining the multiples of 7.
How to Find the Multiples of 7?
Finding the multiples of 7 can be done by skip counting or repeated addition and multiplication.
Let’s try to determine the first five multiples of 7 by repeated addition.
To get the first five multiples of 7, we will start by its smallest multiple – which is itself. Then, if we add another 7 to 7, we will have
Doing this five times will give us the first five multiples of 7 as 7, 14, 21, 28, and 35.
What a great way to find the multiples of 7, right? Now, let’s try another method for finding multiples of 7.
Multiplication is the “short-cut method” of repetitive addition. We have defined a multiple of 7 as a number that can be defined as 7n where n is any natural number.
For example, if you are asked what the 18^{th} multiple of 7 is, the easiest way to do it is by multiplying 7 by 18. Thus,
Let’s try another example. What is the 49^{th} negative multiple of 7?
To find the 49^{th} negative multiple of 7, we will simply multiply 7 by -49. Hence,
The table below shows the result if we do skip counting and multiplication. Multiplication is the simplest way to find the multiples of 7. Skip counting, on the other hand, is a fun way to determine multiples.
n^{th} Multiple | Skip Counting | Multiplication |
1^{st} multiple | 7 | 7 x 1 = 7 |
2^{nd} multiple | 7 + 7 = 14 | 7 x 2 = 14 |
3^{rd} multiple | 7 + 7 + 7 = 21 | 7 x 3 = 21 |
4^{th} multiple | 7 + 7 + 7 + 7 = 28 | 7 x 4 = 28 |
5^{th} multiple | 7 + 7 + 7 + 7 + 7 = 35 | 7 x 5 = 35 |
List of First 30 Multiples of 7
The table below shows the first 30 positive multiples of 7. We cannot list all the possible multiples of 7 as there are infinitely many natural numbers. Thus, there are also infinitely many multiples of 7.
Product of 7 and a positive counting number |
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 |
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 |
7 x 21 | 147 |
7 x 22 | 154 |
7 x 23 | 161 |
7 x 24 | 168 |
7 x 25 | 175 |
7 x 26 | 182 |
7 x 27 | 189 |
7 x 28 | 196 |
7 x 29 | 203 |
7 x 30 | 210 |
Did you know that…
The number 7 is significantly common in nature than most of us realize?
There are seven oceans, seven continents, and seven colors in the rainbow. The Earth was also created in seven days, including the rest day.
Seven is indeed a remarkable number. Can you think of other things that make seven an interesting number?
Problems Involving Multiples of 7
Multiples of 7 are just not a list of numbers that we need to memorize – they can also help us solve real-life problems. Let’s try to solve two problems that involve using multiples of 7.
Problem #1
Adrian’s new year’s resolution is to save $7 on the first week, $14 on the second week, $21 on the third, $28 on the fourth, and so on. How much does Adrian need to save on the 27^{th} week?
To solve for the 27^{th}, we need to multiply 27 by 7. Thus,
Therefore, on the 27^{th} week, Adrian needs to save $189.
Now, let’s try another problem.
Problem #2
Pierre has 3 baskets of different fruits. The first basket contains 14 bananas, the second basket contains 28 apples, and the third one has 39 cherries. Can Pierre sort all the fruits in each basket into groups of 7?
Now, let’s try to do the same process on the baskets of apples and cherries. Dividing 28 by 7, we will have
On the basket of cherries, we have a total number of 21 cherries. Hence, dividing it by 7 will result to
Therefore, Pierre can sort the bananas and apples into groups of 7, but he will not be able to sort the cherries into exact groups of 7.
Take a Quiz
What is the 61^{st} positive multiple of 7?
- 420
- 427
- 434
- 448
2. 427
7 is the smallest positive multiple of 7.
- Always true
- Sometimes true
- Never true
- Always true
How many multiples of 7 are there between 1 to 50?
- 5
- 6
- 7
- 8
3. 7
John wanted to have a perfectly fit body, so he decided to do some workouts. In his workout plan, it involves 7 sit-ups per set. How many sit-ups does John need to do on his 6^{th} set?
- 14
- 21
- 35
- 42
4. 42
Frequently Asked Questions
To find any multiple of 7, multiply any integer to 7.
The first five positive multiples of 7 are 7, 14, 21, 28, and 35.
No. Since there are natural numbers that are even numbers, some multiples of 7 can also be even numbers.
There are infinitely many multiples of 7.
The least common multiple of 7 and 8 is 56.