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Multiples of 30

The multiples of 30 are obtained by multiplying 30 by any integer. Clara is building blocks of 30. Every time she builds a set, she keeps adding 30 blocks per set. How many blocks will she use in her 5th set? 30 + 30 + 30 + 30 + 30= 150. Thus she needs 5 × 30= 150 blocks. In this mini-lesson, we will calculate the multiples of 30, and a few interesting facts about these multiples.

  • First five multiples of 30: 30, 60, 90,120,150
  • Prime Factorization of 30: 2 × 3 × 5
1. What  Are The Multiples of 30?
2. First 20 Multiples of 30
3. Important Notes
4. FAQs on Multiples of 30

What Are The Multiples of 30?

  • The successive multiples of 30 are obtained as a product of 30 and the successive natural numbers.
  • 30 × 1 = 30, 30 × 2 = 60, 30 × 3 = 90, 30 × 4 = 120 and so on. 
  • This shows that the first multiple of 30 is itself. The second multiple of 30 is 60, and the third multiple of 30 is 90 and so on. 
  • You can observe that 30 is added to any multiple of 30 to get its successive multiple.
  • The nth multiple of 30 is got by multiplying 30 with n. For example, 25 th multiple of 30 is 30 × 25 = 750.

multiples of 30

To understand the concept of finding multiples, let us take a few more examples.

  • Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80 are 100
  • Multiples of 36 - The first five multiples of 36 are  36, 72, 108, 144 and 180
  • Multiples of 15 - The first five multiples of 15 are 15, 30, 45, 60 and 75
  • Multiples of 18- The first five multiples of 18 are 18, 36, 54, 72 and 90
  • Multiples of 24- The first five multiples of 24 are 24, 48, 72, 96 and 120

List of First 20 Multiples of 30

30 × 1 = 30
30 × 2 =60
30 × 3 = 90
30 × 4 = 120
30 × 5 = 150
30 × 6 = 180
30 × 7 = 210
30 × 8 = 240
30 × 9 = 270
30 × 10 = 300
30× 11= 330
30 × 12 = 360
30 ×13 = 390
30 × 14 = 420
30 × 15 = 450
30× 16 = 480
30 × 17 = 510
30 × 18 = 540
30 × 19 = 570
30 × 20 = 60

Important Notes:

  • The first multiple of every number is the number itself. 30's first multiple is 30.
  • Every number (other than 0) has an infinite number of multiples. 30 too has infinite multiples.
  • The positive multiples of a number are always greater than or equal to the given number and are obtained by multiplying the given number by 1, 2, 3, etc
 

Multiples of 30 Solved Examples

  1. Example 1:

    William and David are friends and they both love trekking together. William can come to the swimming pool once every 30 days and David can come once every 15 days. Assuming they trek together on 1st of May, when can they trek together for the next time again?

    Solution: 

    The first common multiple of 30 and 15 will help us solve the problem.
    Multiples of 30 are 30,60,90,120,150,180,.......
    Multiples of 15 are 15, 30,45, 60,75,90,105,......
    The common multiples of 30 and 15 are 30, 60, 90, ......
    The least common multiple of 30 and 15 is 30
    Since they swam together on 1st of May, the date when they can trek together again is: (1+30= 31) 31st of May.

  2. Example 2:John is saving money in a piggy bank to buy a play station worth $130. He saves $30 each week. How many weeks does it take for him to buy the watch?

    Solution:

    In the first week he saves $30
    In the 2nd week, he saves $60
    In the 3rd week he saves $90
    In the 4th week he saves $120.
    The play station costs $130. In the 5th week he saves $150. Hence he takes 5 weeks to buy it.

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FAQs on Multiples of 30

What are the multiples of 30?

The multiples of 30 are obtained by multiplying 30 with the integers. 

Is it possible to list all the multiples of 30?

We have infinite multiples of 30. Hence we cannot list all the multiples of 30. 

What are the multiples of 3 up to 30?

The multiples of 3 up to 30 are 3, 6, 9,12, 15, 18, 21, 24, 27, and 30.

What is the 50th multiple of 30?

The 50 th multiple of 30 is 30 × 50 = 1500

What are the common multiples of 30 and 12?

The first 10 multiples of 30  are 30, 60, 90,120, 150, 180, 210, 240, 270, and 300
The first 10 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96,108 and 120.
The common multiples of 30 and 12 are 60, 120 and so on.

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