Multiples of 20

Team Maths - Examples.com
Created by: Team Maths - Examples.com, Last Updated: July 31, 2024

Multiples of 20

Multiples of 20

Multiples of 20 are a fundamental concept in mathematics, involving the multiplication of the integer 20 by other whole numbers. These multiples are part of a broader study of numbers, where understanding factors and divisors is crucial. Multiplication plays a key role, as each multiple results from multiplying 20 by successive integers. Recognizing these multiples helps in solving various mathematical problems related to divisors and factors. Learning about multiples of 20 aids in developing a deeper understanding of number properties and arithmetic operations.

What are Multiples of 20?

Multiples of 20 are numbers that can be obtained by multiplying 20 by whole numbers. Examples include 20, 40, 60, 80, and so on. These multiples are essential in understanding multiplication, factors, and divisors in mathematics.

Prime Factorization of 20: 20 = 2 × 2 × 5 First 10 multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200.

For example, 40, 60, 100 and 180 are all multiples of 20, 277 is not a multiple of 20 for the following reasons:

NumberReasonRemainder
4020 x 2 = 400
6020 x 3 = 600
10020 x 5 = 1000
18020 x 9 = 1800
277277 ÷ 20 = 13 is not an integer (13.85)17

List of First 100 Multiples of 20 with Remainders

List-of-First-100-Multiples-of-20-1
NumberReasonRemainder
2020 is a multiple of 20 because 20 × 1 = 200
4040 is a multiple of 20 because 20 × 2 = 400
6060 is a multiple of 20 because 20 × 3 = 600
8080 is a multiple of 20 because 20 × 4 = 800
100100 is a multiple of 20 because 20 × 5 = 1000
120120 is a multiple of 20 because 20 × 6 = 1200
140140 is a multiple of 20 because 20 × 7 = 1400
160160 is a multiple of 20 because 20 × 8 = 1600
180180 is a multiple of 20 because 20 × 9 = 1800
200200 is a multiple of 20 because 20 × 10 = 2000
220220 is a multiple of 20 because 20 × 11 = 2200
240240 is a multiple of 20 because 20 × 12 = 2400
260260 is a multiple of 20 because 20 × 13 = 2600
280280 is a multiple of 20 because 20 × 14 = 2800
300300 is a multiple of 20 because 20 × 15 = 3000
320320 is a multiple of 20 because 20 × 16 = 3200
340340 is a multiple of 20 because 20 × 17 = 3400
360360 is a multiple of 20 because 20 × 18 = 3600
380380 is a multiple of 20 because 20 × 19 = 3800
400400 is a multiple of 20 because 20 × 20 = 4000
420420 is a multiple of 20 because 20 × 21 = 4200
440440 is a multiple of 20 because 20 × 22 = 4400
460460 is a multiple of 20 because 20 × 23 = 4600
480480 is a multiple of 20 because 20 × 24 = 4800
500500 is a multiple of 20 because 20 × 25 = 5000
520520 is a multiple of 20 because 20 × 26 = 5200
540540 is a multiple of 20 because 20 × 27 = 5400
560560 is a multiple of 20 because 20 × 28 = 5600
580580 is a multiple of 20 because 20 × 29 = 5800
600600 is a multiple of 20 because 20 × 30 = 6000
620620 is a multiple of 20 because 20 × 31 = 6200
640640 is a multiple of 20 because 20 × 32 = 6400
660660 is a multiple of 20 because 20 × 33 = 6600
680680 is a multiple of 20 because 20 × 34 = 6800
700700 is a multiple of 20 because 20 × 35 = 7000
720720 is a multiple of 20 because 20 × 36 = 7200
740740 is a multiple of 20 because 20 × 37 = 7400
760760 is a multiple of 20 because 20 × 38 = 7600
780780 is a multiple of 20 because 20 × 39 = 7800
800800 is a multiple of 20 because 20 × 40 = 8000
820820 is a multiple of 20 because 20 × 41 = 8200
840840 is a multiple of 20 because 20 × 42 = 8400
860860 is a multiple of 20 because 20 × 43 = 8600
880880 is a multiple of 20 because 20 × 44 = 8800
900900 is a multiple of 20 because 20 × 45 = 9000
920920 is a multiple of 20 because 20 × 46 = 9200
940940 is a multiple of 20 because 20 × 47 = 9400
960960 is a multiple of 20 because 20 × 48 = 9600
980980 is a multiple of 20 because 20 × 49 = 9800
10001000 is a multiple of 20 because 20 × 50 = 10000
10201020 is a multiple of 20 because 20 × 51 = 10200
10401040 is a multiple of 20 because 20 × 52 = 10400
10601060 is a multiple of 20 because 20 × 53 = 10600
10801080 is a multiple of 20 because 20 × 54 = 10800
11001100 is a multiple of 20 because 20 × 55 = 11000
11201120 is a multiple of 20 because 20 × 56 = 11200
11401140 is a multiple of 20 because 20 × 57 = 11400
11601160 is a multiple of 20 because 20 × 58 = 11600
11801180 is a multiple of 20 because 20 × 59 = 11800
12001200 is a multiple of 20 because 20 × 60 = 12000
12201220 is a multiple of 20 because 20 × 61 = 12200
12401240 is a multiple of 20 because 20 × 62 = 12400
12601260 is a multiple of 20 because 20 × 63 = 12600
12801280 is a multiple of 20 because 20 × 64 = 12800
13001300 is a multiple of 20 because 20 × 65 = 13000
13201320 is a multiple of 20 because 20 × 66 = 13200
13401340 is a multiple of 20 because 20 × 67 = 13400
13601360 is a multiple of 20 because 20 × 68 = 13600
13801380 is a multiple of 20 because 20 × 69 = 13800
14001400 is a multiple of 20 because 20 × 70 = 14000
14201420 is a multiple of 20 because 20 × 71 = 14200
14401440 is a multiple of 20 because 20 × 72 = 14400
14601460 is a multiple of 20 because 20 × 73 = 14600
14801480 is a multiple of 20 because 20 × 74 = 14800
15001500 is a multiple of 20 because 20 × 75 = 15000
15201520 is a multiple of 20 because 20 × 76 = 15200
15401540 is a multiple of 20 because 20 × 77 = 15400
15601560 is a multiple of 20 because 20 × 78 = 15600
15801580 is a multiple of 20 because 20 × 79 = 15800
16001600 is a multiple of 20 because 20 × 80 = 16000
16201620 is a multiple of 20 because 20 × 81 = 16200
16401640 is a multiple of 20 because 20 × 82 = 16400
16601660 is a multiple of 20 because 20 × 83 = 16600
16801680 is a multiple of 20 because 20 × 84 = 16800
17001700 is a multiple of 20 because 20 × 85 = 17000
17201720 is a multiple of 20 because 20 × 86 = 17200
17401740 is a multiple of 20 because 20 × 87 = 17400
17601760 is a multiple of 20 because 20 × 88 = 17600
17801780 is a multiple of 20 because 20 × 89 = 17800
18001800 is a multiple of 20 because 20 × 90 = 18000
18201820 is a multiple of 20 because 20 × 91 = 18200
18401840 is a multiple of 20 because 20 × 92 = 18400
18601860 is a multiple of 20 because 20 × 93 = 18600
18801880 is a multiple of 20 because 20 × 94 = 18800
19001900 is a multiple of 20 because 20 × 95 = 19000
19201920 is a multiple of 20 because 20 × 96 = 19200
19401940 is a multiple of 20 because 20 × 97 = 19400
19601960 is a multiple of 20 because 20 × 98 = 19600
19801980 is a multiple of 20 because 20 × 99 = 19800
20002000 is a multiple of 20 because 20 × 100 = 20000

Read More About Multiples of 20

Table of 20

Important Notes

Definition: Multiples of 20 are numbers that can be expressed as 20 times an integer. In mathematical terms, if n is an integer, then the multiples of 20 can be written as 20×n.

Sequence: The sequence of multiples of 20 includes 20, 40, 60, 80, 100, and continues infinitely.

Properties:

  • Every multiple of 20 is also a multiple of 10.
  • Multiples of 20 end in 0.
  • The difference between consecutive multiples of 20 is always 20.

Factors and Divisors: Since 20 is a multiple of its factors (1, 2, 4, 5, 10, 20), any multiple of 20 will also be divisible by these numbers.

Applications: Understanding multiples of 20 is useful in solving problems involving division, multiplication, and finding common multiples in various arithmetic and real-world scenarios.

Examples on Multiples of 20

Example 1:

  • Calculate the 3rd multiple of 20:
  • 20×3 = 60
  • Answer: The 3rd multiple of 20 is 60.

Example 2:

  • Calculate the 7th multiple of 20:
  • 20×7 = 140
  • Answer: The 7th multiple of 20 is 140.

Example 3:

  • Calculate the 12th multiple of 20:
  • 20×12 = 240
  • Answer: The 12th multiple of 20 is 240.

Example 4:

  • Check if 180 is a multiple of 20:
  • Divide 180 by 20: 180÷20 = 9
  • Since the result is an integer, 180 is a multiple of 20.
  • Answer: Yes, 180 is a multiple of 20.

Example 5:

  • Check if 250 is a multiple of 20:
  • Divide 250 by 20: 250÷20 = 12.5
  • Since the result is not an integer, 250 is not a multiple of 20.
  • Answer: No, 250 is not a multiple of 20.

Example 6:

  • Find the smallest multiple of 20 greater than 150:
  • Divide 150 by 20: 150÷20 = 7.5
  • Round up to the next whole number: 888
  • Multiply by 20: 20×8 = 160
  • Answer: The smallest multiple of 20 greater than 150 is 160.

Example 7:

  • Find the 15th multiple of 20:
  • 20×15 = 300
  • Answer: The 15th multiple of 20 is 300.

FAQs

What are multiples of 20?

Multiples of 20 are numbers that can be expressed as 20×n, where n is an integer. Examples include 20, 40, 60, 80, and so on.

How can I determine if a number is a multiple of 20?

To determine if a number is a multiple of 20, divide the number by 20. If the quotient is an integer and the remainder is zero, then it is a multiple of 20.

What is the 10th multiple of 20?

The 10th multiple of 20 is calculated by multiplying 20 by 10: 20×10 = 200.

Are all multiples of 20 also multiples of 10?

Yes, all multiples of 20 are also multiples of 10, because 20 is a multiple of 10.

What is the smallest positive multiple of 20?

The smallest positive multiple of 20 is 20 itself, as 20×1 = 20.

Can a multiple of 20 be a decimal or fraction?

No, multiples of 20 are always whole numbers because they result from multiplying 20 by an integer.

What is the sum of the first five multiples of 20?

The first five multiples of 20 are 20, 40, 60, 80, and 100. Their sum is: 20+40+60+80+100 = 300

Is 1000 a multiple of 20?

Yes, 1000 is a multiple of 20 because: 1000÷20 = 50,
Since the quotient is an integer with no remainder, 1000 is a multiple of 20.

What is the difference between a factor and a multiple of 20?

A factor of 20 is a number that divides 20 exactly (e.g., 1, 2, 4, 5, 10, 20), while a multiple of 20 is a number that results from multiplying 20 by an integer (e.g., 20, 40, 60).

How do multiples of 20 help in real-life situations?

Multiples of 20 are useful in various real-life situations, such as organizing items into groups, budgeting (e.g., counting money in denominations of 20), and measuring time intervals (e.g., 20-minute segments).

AI Generator

Text prompt

Add Tone

10 Examples of Public speaking

20 Examples of Gas lighting