• This is an assessment test.
  • To draw maximum benefit, study the concepts for the topic concerned.
  • Kindly take the tests in this series with a pre-defined schedule.

Number System: Basics of Factors Test-1

Congratulations - you have completed Number System: Basics of Factors Test-1.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1
How many factors does 825 have
A
14
B
16
C
12
D
20
Question 1 Explanation: 
Step 1: Prime factorisation, so N=825= 31 52 111
Power of 3 as 30  , 31 ( 1+1=2)ways ,
Power of 5 as 50 , 51 ,52  ( 2+1=3)ways
Power of 11 as 110, 111 (1+1=2)ways
Step 2: Hence, the number of factors is (1+1)(2+1)(1+1)=2x3x2=12
Question 2
How many are number of factors N= 32537311213217 ?
A
700
B
456
C
864
D
900
Question 2 Explanation: 
Step 1: Prime factorisation, so N=32537311213217 1
Power of 3 as 30  , 31 ,32
Power of 5 as 50 , 51 ,52,53
Power of 7 as 70,71,72,73
Power of 11as 110111112
Power of 13 as 130131132
Power of 17 as 170171
Step 2:
Hence, the number of factors is(2+1)(3+1)(3+1)(2+1)(2+1)(1+1)=864
Question 3
How many even factors does the number 24 35 72 have?
A
76
B
72
C
36
D
128
Question 3 Explanation: 
In this case we have to find number of even factors,an even factor is divisible by 2 or smallest power of 2 has to be 1 not 0.
Hence a factor must be 2(1 or 2 or 3 or 4)3(0 or 1,2,3,4,5)7(0 or 1 or 2)
Hence total number of factors= (4)(5 + 1 )(2 + 1) = 72
Question 4
How many odd factors does the number N= 24 35 72?
A
20
B
40
C
45
D
18
Question 4 Explanation: 
To simply find odd factors, remove 2 from prime factors i.e from N remove ${{2}^{4}}$
Then we are left with $N={{3}^{5}}{{7}^{2}}$ Since these are two odd factors, they will have no even factors.
Therefore, the total number of factors is= (5+1)(2+1)=18
Question 5
How many factors are there in N = 25 5272 which are divisible by 10?
A
45
B
35
C
30
D
55
Question 5 Explanation: 
If a number is divisible by 10 then it must have minimum power of 2 and 5 as 1.
A factor divisible by 10 is 2(1 or 2 or 3or 4 or 5)5(1 or 2 )7(0 or 1 or 2 )
Hence, total number of factors divisible by 10 is = (5)(2)(2 + 1) = 30
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return

Want to explore more Number System Tests?

Explore Our Number System Tests

Website Popup

Join our Free TELEGRAM GROUP for exclusive content and updates

Rsz 1rsz Close Img

Join Our Newsletter

Get the latest updates from our side, including offers and free live updates, on email.

Rsz Undraw Envelope N8lc Smal
Rsz 1rsz Close Img