Is 2226 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 2226 is composite or not first we have to find its factors.
Contents
Factors of 2226:
- If we have taken numbers from 1, 2, 3…for checking factors of 2226, we found that 2226 has factors 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226. Hence, we must say that 2226 is a composite number.
- Thus, 2226 is the composite number.
- If we multiply 2226 by 1, 2, 3 then we get the multiples of 2226 which are 2226, 4452 and so on.
About the number 2226:
- 2226 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226 and hence it is the composite number.
- 2226 is the even composite number and it is not the perfect square also.
- If we divide 2226 by, 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226 are the factors of 2226.
Note:
- 2226 is not the perfect square.
- Factors of 2226: 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226
- Prime factors of 2226: 2, 3, 7, 53
Conclusion:
- 2226 is the composite number which has factors 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226
- And hence, 2226 is not the prime number.
Multiple Choice Questions:
1) 2226 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 2226 are
a) 2226
b) 2, 3, 7, 53
c) 1, 6, 14, 21, 42, 106, 159, 318, 371, 742, 113 and 2226
d) 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226
Ans: c) 1, 6, 14, 21, 42, 106, 159, 318, 371, 742, 113 and 2226
3) 2226 is composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 113 and 2226