Multiples of 5
Did you know the word 'multiples' has a Latin origin? It is possible to find the multiples of any number by repetitive addition of that particular number or by recalling the times table of that number. In this mini-lesson, we will calculate the multiples of 5 and learn some interesting facts about these multiples.
- First five multiples of 5: 5, 10, 15, 20, 25
- Prime Factorization of 5: 5 = 51
| 1. | What Are the Multiples of 5? |
| 2. | Important Notes |
| 3. | First 20 Multiples of 5 |
| 4. | FAQs on Multiples of 5 |
| 5. | Challenging Questions |
What Are the Multiples of 5?
The product of a whole number and an integer is called a multiple. The product of 5 and any integer is a multiple of 5. The first few multiples of 5 are 5, 10, 15, 20, 25, 30, and so on. We get successive multiples of 5 by skip counting.
If we skip count 108 times by 5, we will get the 108th multiple of 5, i.e., 108 × 5 = 540. We can also find the multiples of 5 using the multiplication table of 5.
Important Notes:
- The smallest multiple of every number is the number itself, that is, 5 × 1 = 5.
- If a number is a multiple of 5, it will have its last digit as 0 or 5.
- A multiple is termed to be a common multiple if it is common for two or more numbers. Example: 5 × 2 = 10, 2 × 5 = 10; 10 is a common multiple of 5 and 2.
- The number of multiples for a given number is infinite.
First 20 Multiples of 5
The multiples of 5 are the numbers that are generated when 5 is multiplied by any natural number. It can be represented as 5n, where n = 1, 2, 3, 4, 5, …and so on. The first few multiples of the number 5 are shown below.
We obtain the first 20 multiples of 5 by finding the product of 5 and the first 20 natural numbers.
| Product | Multiples |
|---|---|
| 5 × 1 | 5 |
| 5 × 2 | 10 |
| 5 × 3 | 15 |
| 5 × 4 | 20 |
| 5 × 5 | 25 |
| 5 × 6 | 30 |
| 5 × 7 | 35 |
| 5 × 8 | 40 |
| 5 × 9 | 45 |
| 5 × 10 | 50 |
| 5 × 11 | 55 |
| 5 × 12 | 60 |
| 5 × 13 | 65 |
| 5 × 14 | 70 |
| 5 × 15 | 75 |
| 5 × 16 | 80 |
| 5 × 17 | 85 |
| 5 × 18 | 90 |
| 5 × 19 | 95 |
| 5 × 20 | 100 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 6 - The first five multiples of 6 are 6, 12, 18, 24, and 30.
- Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, and 20.
- Multiples of 3 - The first five multiples of 3 are 3, 6, 9, 12, and 15.
- Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, and 35.
- Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, and 60.
- Multiples of 14 - The first five multiples of 14 are 114, 28, 42, 56 and 70.
Challenging Questions:
- Nick visits California every 5 days and Charles visits the same place every 20 days. Suppose they both are together on the same day today, when will they next visit on the same day?
- Ryan wants to buy erasers and pencils. The store sells erasers in packs of 2 and pencils in packs of 5. If he wishes to buy the same number of erasers and pencils, what is the minimum number of erasers he can buy?
Multiples of 5 Solved Examples
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Example 1: Andrea makes a couple of necklaces. She makes them in such a way that there are 5 beads in the first necklace, 10 in the second, 15 in the third, and so on. How many beads would she need to make the 40th necklace?
Solution:
In the 4th necklace, Andrea needs 4 × 5 = 20 beads.
In the 8th necklace, she needs 8 × 5 = 40 beads.
Hence, for the nth necklace, she would need n × 5 beads.
Thus, for the 40th necklace, she would need 40 × 5 = 200 beads. -
Example 2: John is playing a video game. For every jump over an obstacle, he collects 5 coins. He wants to know how many coins he would have collected if he crossed 120 such jumps. Can you help him calculate the score?
Solution:
John gets 5 coins for every jump.
In 120 jumps, he would have collected 120 × 5 = 600 coins.
Thus, he will have 600 coins after 120 jumps. -
Example 3: During a singing competition, Sophie gets a score of 5 points from each of the 9 judges at each level. What will be her score at the end of the 5th level?
Solution:
Sophie's score at each level = 9 × 5 = 45
At the 5th level, she would score 45 × 5 = 225
Hence, she will score 225 at the end of the 5th level.
FAQs on Multiples of 5
How do you find the multiples of 5?
We can find the multiples of 5 by either skip counting by 5 from 5 or by using the multiplication table of 5.
What are the first few multiples of 5?
The first few multiples of 5 are 5, 10, 15, 20, 25, 30, and so on.
What is the sum of the first five multiples of 5?
The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.
What is the least common multiple of 5 and 6?
The least common multiple of 5 and 6 can be calculated by: (5 × 6)/GCF(5,6). Here GCF(5,6) is the greatest common factor of 5 and 6.
GCF(5, 6) = 1
LCM(5, 6) = (5 × 6)/GCF(5, 6) = 30/1 = 30
What is the twelfth multiple of 5?
The twelfth multiple of 5 is 60.
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