Is 936 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 936 is composite or not first we have to find its factors.
Contents
Factors of 936:
- If we have taken numbers from 1, 2, 3…for checking factors of 936, we found that 936 has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936. Hence, we must say that 936 is a composite number.
- Thus, 936 is the composite umber.
- If we multiply 936 by 1, 2, 3 then we get the multiples of 936 which are 936, 1872 and so on.
About the number 936:
- 936 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936 and hence it is the composite number.
- 936 is the even composite number and it is not the perfect square also.
- If we divide 936 by 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936 are the factors of 936.
Note:
- 936 is not the perfect square.
- Factors of 936: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
- Prime factors of 936: 2, 3, 13
Conclusion:
- 936 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
- And hence, 936 is not the prime number.
Multiple Choice Questions:
1) 936 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The non-prime factors of a composite number 936 are
a) 1
b) 2, 3, 13
c) 1, 4, 6, 8, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
d) 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
Ans: c) 1, 4, 6, 8, 9, 12, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
3) 936 is even the composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all