Property 1: A number is a mutup
Property 2: Every number is a multiple of 1.
Property 3: Every multiple of a number is greater than or equal to the number itself.
Property 4 : There is no end to the multiples you can get for a particular number.
(e) 45
(d) 36 and 45
EXERCISE - 3.1
1. Write the factors of:
(a) 10
(b) 18
(c) 24
(d) 36
2. Write the common factors of:
(a) 4 and 12 (b) 12 and 27 (c) 20 and 25
(e) 18 and 72
3. Write the first five multiples of :
(a) 5
(b) 7
(c) 9
4. Write the first two common multiples of :
(a) 2 and 3 (b) 4 and 6 (c) 2 and 7
6,12
Rules of Divisibility
30,24
The rules of divisibility will help you find which numbers divide others without leaving any
remainder.
(d) 12
(e) 15
(d) 3 and 5
(e) 5 and 6
14, 28
Rule 1 Divisibility by 2, 5 and 10.
Answers
Answer:
Step-by-step explanation:
Property (1):
Every number is a multiple of 1.
As: 7 x 1 = 7,
9 x 1 = 9,
15 x 1 = 15,
40 x 1 = 40
Property (2):
Every number is the multiple of itself.
As: 1 x 7 = 7,
1 x 21 = 21,
1 x 105 = 105,
1 x 212 = 212
Property (3):
Zero (0) is a multiple of every number.
As: 0 x 9 = 0,
0 x 11 = 0,
0 x 57 = 0,
0 x 275 = 0
Property (4):
Every multiple except zero is either equal to or greater than any of its factors.
As, multiple of 7 = 7, 14, 28, 35, 77, …………., etc.
Property (5):
The product of two or more factors is the multiple of each factor.
As: 3 x 7 = 21,
So, 21 is the multiple of both 3 and 7.
30 = 2 x 3 x 5,
So, 30 is the multiple of 2, 3 and 5.
Property (6):
There is no end to multiples of a number.
As: 5, 10, 15, 20, 25, …………….., 100, 105, 110, …………………., are the multiples of 5.
These are the properties of multiples.