Which Of The Following Is A Multiple 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

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.

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.

Finding Multiples 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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