7. 77
As we can see, 6 can be written as
product of two numbers in many
ways: 6 = 1 × 6
6 = 2 × 3
6 = 3 × 2
6 = 6 × 1
1, 2, 3 and 6 are exact divisors of 6
19. 19
FACTOR
A factor of a number is an exact
divisor of that number i.e. the factor
leaves remainder 0 when it divides
the number.
20. 20
4 × 5 = 20
4 and 5 are factors of 20. We can
also say that 20 is multiple of 4 and
5.
In 2 × 12 = 24,
2 and 12 are factors of 24.
24 is the multiple of 2 and 12.
So, a number is a multiple of its
factors.
21. 21
Multiples of 2 =
2,4,6,8,10,12,14,16,18,20,22,24…
Multiples of 3 =
3,6,9,12,15,18,21,24,27,30,33,36,…
Multiples of 15 =
15,30,4,60,75,90,105,120,135,……
The number of multiples of
a given number is infinite.
24. 24
POINTS TO REMEMBER
• 1 is a factor of every number.
• Every factor of a number is an exact
divisor of that number.
• Every factor is less than or equal to the
given number.
• Number of factors of a given number are
finite.
25. 25
• Every multiple of a number is greater
than or equal to that number.
• The number of multiples of a given
number is infinite.
• Every number is a multiple of itself.
POINTS TO REMEMBER
contd
26. 2626
FACTOR OR MULTIPLE?FACTOR OR MULTIPLE?
For each of numbers in the statements, selectFor each of numbers in the statements, select
either multiple [M] or factor [F]either multiple [M] or factor [F]
3434 × 5 = 170× 5 = 170
[[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
25 × 4 = 10025 × 4 = 100
[[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
90 × 10 = 90090 × 10 = 900
[[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
45 × 6 = 27045 × 6 = 270
[[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
7 × 30 = 2107 × 30 = 210
[[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
27. 2727
State whether the followingState whether the following
statements arestatements are TRUETRUE oror FALSEFALSE
1. 1 is a factor of every number.1. 1 is a factor of every number. FF TT
2. The largest factor of any number is the number itself.2. The largest factor of any number is the number itself. FF TT
3. Number of factors of a given number is infinite.3. Number of factors of a given number is infinite. FF TT
4.The number of multiples of 5 is 10.4.The number of multiples of 5 is 10. FF TT
5.The factors of 65 are 1, 5 and 13 only.5.The factors of 65 are 1, 5 and 13 only. FF TT
( Click ‘F’ for false and ‘T’ for true )( Click ‘F’ for false and ‘T’ for true )