Is 2210 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 2210 is composite or not first we have to find its factors.
Contents
Factors of 2210:
- If we have taken numbers from 1, 2, 3…for checking factors of 2210, we found that 2210 has factors 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210. Hence, we must say that 2210 is a composite number.
- Thus, 2210 is the composite number.
- If we multiply 2210 by 1, 2, 3 then we get the multiples of 2210 which are 2210, 4420 and so on.
About the number 2210:
- 2210 has more than two factors which are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210 and hence it is the composite number.
- 2210 is the even composite number and it is not the perfect square also.
- If we divide 2210 by, 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210 then we get remainder as zero. Hence, 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210 are the factors of 2210.
Note:
- 2210 is not the perfect square.
- Factors of 2210:1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
- Prime factors of 2210: 2, 5, 13, 17
Conclusion:
- 2210 is the composite number which has factors 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
- And hence, 2210 is not the prime number.
Multiple Choice Questions:
1) 2210 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 2210 are
a) 2210
b) 2, 5, 13, 17
c) 1, 10, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
d) 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
Ans: c) 1,10, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
3) 2210 is composite number because
a) It has factors 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105 and 2210