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.

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**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

You are viewing: Which Of The Following Is A Multiple 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.

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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?

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Category: WHICH