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Multiples of 63

Multiples of 63 are the numbers that are divisible by 63 and that leave no remainder. We can have n multiples of 63 simply by multiplying 63 by n different natural numbers. In this lesson, we will calculate the multiples of 63 and learn some other interesting facts about this number.

First five multiples of 63: 63, 126, 189, 252, 315
Prime Factorization of 63: 3² × 7

1.	What Are the Multiples of 63?
2.	First 20 Multiples of 63
3.	Challenging Questions
4.	FAQs on Multiples of 63

What Are the Multiples of 63?

The multiples of 63 are those numbers which when divided by 63 leave the remainder 0. There are an infinite number of multiples for any number. Let us look at the first few multiples of 63.

63 × 1 = 63
63 × 2 = 126
63 × 3 = 189
63 × 4 = 252
63 × 5 = 315

Hence, the first five multiples of 63 are 63, 126, 189, 252, and 315. We can also use skip counting, as shown below to find the multiples of 63.

First 5 multiples of 63

List of First 20 Multiples of 63

First 20 Multiples of 63
63 × 1 = 63	63 × 11 = 693
63 × 2 = 126	63 × 12 = 756
63 × 3 = 189	63 × 13 = 819
63 × 4 = 252	63 × 14 = 882
63 × 5 = 315	63 × 15 = 945
63 × 6 = 378	63 × 16 = 1008
63 × 7 = 441	63 × 17 = 1071
63 × 8 = 504	63 × 18 = 1134
63 × 9 = 567	63 × 19 = 1197
63 × 10 = 630	63 × 20 = 1260

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

Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, and 20.
Multiples of 60 - The first five multiples of 60 are 60, 120, 180, 240, and 300.
Multiples of 36 - The first five multiples of 36 are 36, 72, 108, 144, and 180.
Multiples of 6 - The first five multiples of 6 are 6, 12, 18, 24, and 30.
Multiples of 21 - The first five multiples of 21 are 21, 42, 63, 84, and 105.

Challenging Questions

1. 63 is a multiple of 21 and 21 is a multiple of 7. Does that make 63 a multiple of 7?
2. List the first 5 odd multiples of 63.
3. Is 63 a multiple of:

6.3
12.6

Example 1: Randall and Kate are playing trick-or-treat on Halloween. They have collected 126 chocolates. They have to split it 3 ways with Kevin who has collected 63 chocolates. How many chocolates do they each end up with?

Let us first calculate the total number of chocolates they collected.
Total number of chocolates collected = 126 + 63 = 189
Number of chocolates they each get = 189 / 3 = 63

Therefore, they each get a total of 63 chocolates.
Example 2: Bob is asked by his teacher to find the first 5 odd multiples of the number 63. Can you help him?

To find the odd multiples of 63, we need to multiply by 1, 3, 5, 7 etc.

63 × 1 = 63

63 × 3 = 189

63 × 5 = 315

63 × 8 = 441

63 × 9 = 567

Therefore, the first 5 odd multiples of 63 are 63, 189, 315, 441, and 567.

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FAQs on Multiples of 63

How many multiples does 63 have?

There are infinite multiples of 63. The first 5 multiples are 63, 126, 189, 252, and 315.

What are the factors of 63?

The factors of 63 are 1, 3, 7, 9, 21 and 63.

Is the number 21 a multiple of 63?

No, 21 is not a multiple of 63. It is a factor of 63.

What is the LCM of 63 and 70?

The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b).
We need to calculate the greatest common factor 63 and 70, and then apply the LCM equation.
GCF(63,70) = 7
LCM(63,70) = ( 63 × 70) / 7
LCM(63,70) = 4410 / 7
LCM(63,70) = 630
Therefore, the LCM of 63 and 70 is 630

Are the multiples of 63 only odd or even?

The multiples of 63 could be either even or odd. When 63 is multiplied by an odd number, the multiples will be odd. Similarly, when 63 is multiplied by an even number, the multiples will be even.

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