Is 312 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 312 is composite or not first we have to find its factors.
Contents
Factors of 312:
- If we have taken numbers from 1, 2, 3…for checking factors of 312, we found that 312 has factors 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312. Hence, we must say that 312 is a composite number.
- Thus, 312 is the composite umber.
- If we multiply 312 by 1, 2, 3 then we get the multiples of 312 which are 312, 624 and so on.
About the number 312:
- 312 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312 and hence it is the composite number.
- 312 is the even composite number and it is not the perfect square also.
- If we divide 312 by 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312 then we get remainder as zero. Hence,1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312 are the factors of 312.
Note:
- 312 is not the perfect square.
- Factors of 312:1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312
- Prime factors of 312: 2, 3, 13
Conclusion:
- 312 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312
- And hence, 312 is not the prime number.
Multiple Choice Questions:
1) 312 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 312 are
a) 2
b) 2, 3, 13
c) 152
d) 1, 2, 5, 10, 31, 62, 155 and 312
Ans: b) 2, 3, 13
3) 312 is the even composite number as it has
a) Only two factors
b) It is divisible by 2
c) More than 2 factors
d) Both b and c
Ans: d) both b and c