Name: Questions on the relation of LCM and HCF
Uploaded: 2019-07-19
Duration: 19 min 46 s
Description: In this video, we will cover some exam level questions based on the relation of LCM and HCF. This video will be helpful for various competitive examinations....

Question

Complete the table by finding the remaining factors and first five multiples of the numbers.

Number	Factors	Multiplies
$32$	$1, 4, 16$
$54$	$2, 6, 27$
$108$	$12, 9, 54$
$225$	$1, 3, 15$
$144$	$9, 16, 18$

Accepted Answer

Factor of a number divides that number exactly without leaving any remainder

We can express $32$ as the product of two numbers in different ways as follows.

$1 \times 32, 2 \times 16, 4 \times 8$

So, the factors of $32 = 1, 2, 4, 8, 16, 32$

Similarly, the factors of $54 = 1, 2, 3, 6, 9, 18, 27, 54$

The factors of $9, 16, 18$

The factors of $225 = 1, 3, 5, 9, 15, 25, 45, 75, 225$

The factors of $144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144$

Multiple of a number obtained by multiplying that number by a natural number.

Now, the first multiples of a number $n = 1 \times n, 2 \times n, 3 \times n, 4 \times n, 5 \times n$

So, the factors and the first five multiples of the given numbers can be written in the table as follows.

Number Factors Multiplies

$32$ $1, 2, 4, 8, 16, 32$ $32, 64, 96, 128, 160$

$54$ $1, 2, 3, 6, 9, 18, 27, 54$ $54, 108, 162, 216, 270$

$108$ $1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108$ $108, 216, 324, 432, 540$

$225$ $1, 3, 5, 9, 15, 25, 45, 75, 225$ $225, 450, 675, 900, 1125$

$144$ $1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144$ $144, 288, 432, 576, 720$

Thus, the table is completed by writing all the factors and the first five multiples of the given numbers.

Complete the table by finding the remaining factors and first five multiples of the numbers.

Number Factors Multiplies

$32$ $1, 4, 16$

$54$ $2, 6, 27$

$108$ $12, 9, 54$

$225$ $1, 3, 15$

$144$ $9, 16, 18$

Important Questions on Playing With Numbers

Learn and Prepare for any exam you want !

Complete the table by finding the remaining factors and first five multiples of the numbers. Number Factors Multiplies 32 1, 4, 16 54 2, 6, 27 108 12, 9, 54 225 1, 3, 15 144 9, 16, 18

Important Questions on Playing With Numbers

Learn and Prepare for any exam you want !

Complete the table by finding the remaining factors and first five multiples of the numbers.

Number Factors Multiplies

$32$ $1, 4, 16$

$54$ $2, 6, 27$

$108$ $12, 9, 54$

$225$ $1, 3, 15$

$144$ $9, 16, 18$