A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
LearnPracticeDownload

Multiples of 56

The number 56 is an even composite number and all multiples of 56 are even numbers. Products of 56 with natural numbers are known as multiples of 56. The infinite multiples of 56 can be written by adding 56 to the previous multiple of 56. In this mini-lesson, we will calculate the multiples of 56, and learn interesting facts about these multiples.

  • First Five Multiples of 56: 56, 112, 168, 224, 280
  • Prime Factorization of 56: 56 = 23 × 7
1. What Are the Multiples of 56?
2. First 20 Multiples of 56
3. Important Notes
4. FAQs on Multiples of 56

What Are the Multiples of 56?

Multiples of 56 are obtained by multiplying 56 with counting numbers. Hence multiples of 56 are infinite. The first 5 numbers in the multiplication table of  56 are 56, 112, 168, 224, and 280. We can calculate multiples of 56 by skip counting also, as shown below.

Multiples of 56                             

List of the First 20 Multiples of 56

Let's list the first 10 multiples of 56.

First 10 Multiples of 56
56 × 1 = 56 56 × 6 = 336
56 × 2 = 112 56 × 7 = 392
56 × 3 = 168 56 × 8 = 448
56 × 4 = 224 56 × 9 = 504
56 × 5 = 280 56 × 10 = 560

Let us try to derive multiples of 56 from 11-20

Multiples of 56 from 11-20
56 × 11 = 616 56 × 16 = 896
56 × 12 = 672 56 × 17 = 952
56 × 13 = 728 56 × 18 = 1008
56 × 14 = 784 56 × 19 = 1064
56 × 15 = 840 56 × 20 = 1120

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

  • Multiples of 54 - The first five multiples of 54 are 54, 108, 162, 216, 270.
  • Multiples of 60 - The first five multiples of 60 are 60, 120, 180, 240, 300.
  • Multiples of 63 - The first five multiples of 63 are 63, 126, 189, 252, 315.
  • Multiples of 48 - The first five multiples of 48 are 48, 96, 144, 192, 240.

Important Notes

  • The number 56 has infinite multiples as it can be multiplied with any whole number and we have infinite whole numbers.
  • All the multiples of 56 are even numbers.
 

Factors of 56 Solved Examples

 

  1. Example:1 Can you help Alice in calculating the sum of the first ten multiples of 56?

    Solution:

    The first ten multiples of 56 are 56, 112, 168, 224, 280, 336, 392, 448, 504, and 560. Adding the multiples, 56 + 112 + 168 + 224 + 280 + 336 + 392 + 448 + 504 + 560 = 3080. Thus, the sum is 3080.

  2. Example:2 Using multiples of 54, calculate the difference of 10 times 56 and 7 times 56.

    Solution:

    10 times 56 = 560
    7 times 56 = 392
    Difference = 560 - 392 = 168

  3.  

    Example 3 What is the LCM of 56 and 23?

    Solution.

    The few multiples of 56 are 56, 112, 168, 224.....
    The few multiples of 23 are 23, 46, 69, 92....
    The common multiples of 56 and 23 is 56.

    Therefore, the LCM of 56 and 23 is 56.

Show Solution >

go to slidego to slidego to slide

 

Breakdown tough concepts through simple visuals.
Math will no longer be a tough subject, especially when you understand the concepts through visualizations.

Book a Free Trial Class

 

FAQs on Multiples of 56

What is the highest multiple of 56?

Writing the highest multiples of 56 is not possible since counting numbers are infinite.

Why are all the multiples of 56 even?

All the multiples of 56 are even because 56 is an even number and the product of a number with an even number is always even.

What is the smallest multiple of 56?

The smallest multiple of 56 is 56 itself.

What is the least common multiple of 56 and 100?

A number that ends with double zero is the multiple of 100. Since 2300 is the multiple of 56 therefore the least common multiple of 56 and 100 is 2300.

How do you find the multiples of 56?

Multiply any natural number with 56 we can get multiples of 56. For example, 56 × 2 = 112

Math worksheets and
visual curriculum