Is 2212 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 2212 is composite or not first we have to find its factors.
Contents
Factors of 2212:
- If we have taken numbers from 1, 2, 3…for checking factors of 2212, we found that 2212 has factors 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212. Hence, we must say that 2212 is a composite number.
- Thus, 2212 is the composite number.
- If we multiply 2212 by 1, 2, 3 then we get the multiples of 2212 which are 2212, 4424 and so on.
About the number 2212:
- 2212 has more than two factors which are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212 and hence it is the composite number.
- 2212 is the even composite number and it is not the perfect square also.
- If we divide 2212 by, 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212 are the factors of 2212.
Note:
- 2212 is not the perfect square.
- Factors of 2212: 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212
- Prime factors of 2212: 2, 7, 79
Conclusion:
- 2212 is the composite number which has factors 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212
- And hence, 2212 is not the prime number.
Multiple Choice Questions:
1) 2212 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2212 are
a) 2212
b) 2, 7, 79
c) 1, 4, 14, 28, 158, 316, 553, 1106 and 2212
d) 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212
Ans: c) 1, 4, 14, 28, 158, 316, 553, 1106 and 2212
3) 2212 is composite number because
a) It has factors 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106 and 2212