CONCEPT FOR FINDING THE FACTOR OF A NUMBER
A factor of a number divides the number completely without a remainder.So if a divisor divides a number such that the remainder is 0, then both the divisor and the quotient ,are factors of the number .
Check whether 5 is a factor of 50 . and 4 is a factor of 21.
So we have seen that 5 is a factor of 20 because the remainder is 0 and 4 is not a factor of 21 because the remainder is not o.
How to find the factors of a number .
STEP:
Divide each number less than the given number with the given number. If the remainder is 0, than the divisor and quotient are the factors of given number.
Find the factors of 12.
Start with 1. 1 divides 12 with quotient 1 and reaminder 0. So both divisor and quotient are factors. i.e 1,12
Next number is 2 . Now 2 divides 12 with quotient 6 and remainder 0 . So 2,6 are factors.
Next number is 3 . Now 3 divides 12 with quotient 4 and reminder 0. So 3,4 are factors.
Next number is 4 . 4 is also a factor .
Next number is 5. Now 5 divides 12 with a remainder 2. So 5 is not a factor .
Next is 6. We have already done the division by 2 and 6 was factor of 12.
So we can stop the division.
So factors of 12 are 1,12,2,6,3,4 .
Lets find the factors of 12.
Factors of Odd and Even Numbers
Even Numbers: Number ending with 2,4,6,8 or 0 are Even Numbers. i.e
face value of one' place is 2,4,6,8, or 0
Odd Numbers : Number ending with 1,3,5,7,9 are even numbers.
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Test your knowledge
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1) One of the factors of 25 are
a) 2
b) 3
c) 4
d) 5
2) One of the factors of 33 are
a) 10
b) 11
c) 12
d) 13
3)Factors of 24 are
a) 1,2,4,6,9,12,24
b) 1,3,4,8,11,12,24
c) 1,2,3,4,5,8,12,24
d) 1,2,3,4,6,8,12,24
4) Which of them in not a factor of 20 is
a) 2
b) 3
c) 4
d) 5
5) What is the remainder when 30 is divided by 6
a) 0
b) 1
c) 5
d) 6
6) What is the remainder when 37 is divided by 5.
a) 0
a) 2
a) 5
a) 7
7) 9 is a factor of
a) 107
b) 108
c) 109
d) 110
8) Which number is not a factor of 9
a) 1
b) 3
c) 6
d) 9
9) The remainder when the number is divided by factor is
a) 0
b) 1
c) 2
d) less than factor
10) The remainder of even numbers when divided by 2 is always
a) 0
b) 1
11) Odd number when divided by 2 give a remainder of
a) 0
b) 1
Score:/11
STEP:
Divide each number less than the given number with the given number. If the remainder is 0, than the divisor and quotient are the factors of given number.
Find the factors of 12.
Start with 1. 1 divides 12 with quotient 1 and reaminder 0. So both divisor and quotient are factors. i.e 1,12
Next number is 2 . Now 2 divides 12 with quotient 6 and remainder 0 . So 2,6 are factors.
Next number is 3 . Now 3 divides 12 with quotient 4 and reminder 0. So 3,4 are factors.
Next number is 4 . 4 is also a factor .
Next number is 5. Now 5 divides 12 with a remainder 2. So 5 is not a factor .
Next is 6. We have already done the division by 2 and 6 was factor of 12.
So we can stop the division.
So factors of 12 are 1,12,2,6,3,4 .