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Multiples of 64
64 is a perfect square number (8^{2 }) and also a cubic number (4^{3}) and its prime factor is only 2. In this minilesson let us learn to calculate the multiples of 64.
 First five multiples of 64: 64, 128, 192, 256, 320
 Prime factorization of 64: 64 = 2 × 2 × 2 × 2 × 2 × 2
Let us explore more about the multiples of 64 and their properties.
1.  What Are the Multiples of 64? 
2.  First 20 Multiples of 64 
3.  Important Notes 
4.  FAQs on Multiples of 64 
5.  Challenging Questions 
What Are the Multiples of 64?
 Multiples of 64 are the products obtained on multiplying 64 with whole numbers.
 We get the successive multiples of 64 on skip counting by 64. We get the nth multiple of 64 by doing 64 × n. The 3rd multiple of 64 is 64 × 3 = 192.
 To find if a number is a multiple of 64, divide it by 64 and check if it is completely divisible.
 The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
 We should note that the multiples of 64 will also be the multiples of each of its factors. For example, 2nd^{ }multiple of 64 = 128. 128 is also a multiple of 2, 4, 6, 8, 16, and 32.
128 is the 2nd multiple of 64. 
128 is the 64th multiple of 2. 
128 is the 42nd multiple of 4. 
128 is the 16th multiple of 8. 
128 is the 8th multiple of 16. 
128 is the 4th multiple of 32. 
List of the First 20 Multiples of 64
Let us list the first 20 multiples of 64.
Multiples of 64 

64 × 1 = 64 
64 x 2 = 128 
64 x 3 = 192 
64 x 4 = 256 
64 x 5 = 320 
64 x 6 = 384 
64 x 7 = 448 
64 x 8 = 512 
64 x 9 = 576 
64 x 10 = 640 
64 x 11 = 704 
64 x 12 = 768 
64 x 13 = 832 
64 x 14 = 896 
64 x 15 = 960 
64 x 16 = 1024 
64 x 17 = 1088 
64 x 18 = 1152 
64 x 19 = 1216 
64 x 20 = 1280 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 60  The first five multiples of 60 are 60, 120, 180 , 240, and 300.
 Multiples of 75  The first five multiples of 75 are 75, 150 , 225, 300, and 375.
 Multiples of 45  The first five multiples of 45 are 45, 90, 135, 180, and 225.
 Multiples of 27 The first five multiples of 27 are 27, 54, 91, 108, and 135.
 Multiples of 14  The first five multiples of 14 are 14, 28, 42, 56, and 70.
Important Notes
 A number can have infinite multiples. Multiply 64 with any whole number and get its multiples.
 64 is an even number, so its multiples will also be even.
 The multiples of 64 are also the multiples of its factors.
Challenging Questions
 The number of pages assigned for project work is divisible by both 32 and 64. What is the smallest possible page number that could have been assigned?
 Keith sells muffins in boxes of 64 and pancakes in boxes of 16. If Keith sells an equal number of each, how many muffins will we buy?
Multiples of 64 Solved Examples

Example 1: Every 64th^{ }order received at the pizza shop gets a discount. If Mike's is the 704th order, will he be eligible for the discount offered?
Solution:
To find if 704 is a multiple of 64, divide 704 by 64.
704 ÷ 64 = 11
Yes. Mike will be the 11th^{ }person eligibile for the discount offered.

Example 2: Ria deposits $64 of her savings in the bank every month. How much money has she saved in 8 months? How much has she saved in 18 months?
Solution: Her savings in 8 months is the 8th multiple of 64.
64 × 8 = 512
Her savings = $512
Her savings in 18 months is the 18th multiple of 64.
64 × 18 = 1152
FAQs on Multiples of 64
How do you find the 5th multiple of 64?
Multiply 64 by 5 and get the multiple as 64 × 5 = 320.
Are the multiples of 8 and 16 also the multiples of 64?
No, not all the multiples of 8 and 16 are multiples of 64. However, all the multiples of 64 are multiples of 8 and 16.
What are the first five multiples of 64?
The first five multiples of 64 are 64, 128, 192, 256, and 320.
What is the first common multiple of 64 and 72?
The multiples of 64 are 64, 128, 192, 256, 320, 384, 448, 512, 576, and so on.
The multiples of 72 are 72, 144, 216, 288, 360, 432, 504, 576, and so on.
The first common multiple of 64 and 72 is 576.
How do we get the 24th and 25th multiples of 64?
64 × 24 = 1536 and 64 × 25 = 1600. 1536 and 1600 are the 24th and 25th multiples of 64.
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