Is 2058 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 2058 is composite or not first we have to find its factors.
Contents
Factors of 2058:
- If we have taken numbers from 1, 2, 3…for checking factors of 2058, we found that 2058 has factors 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058. Hence, we must say that 2058 is a composite number.
- Thus, 2058 is the composite number.
- If we multiply 2058 by 1, 2, 3 then we get the multiples of 2058 which are 2058, 4116 and so on.
About the number 2058:
- 2058 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058 and hence it is the composite number.
- 2058 is the even composite number and it is not the perfect square also.
- If we divide 2058 by, 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058 are the factors of 2058.
Note:
- 2058 is not the perfect square.
- Factors of 2058: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
- Prime factors of 2058: 2, 3, 7
Conclusion:
- 2058 is the composite number which has factors 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
- And hence, 2058 is not the prime number.
Multiple Choice Questions:
1) 2058 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 2058 are
a) 2058
b) 2, 3, 7
c) 1, 6, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
d) 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
Ans: c) 1, 6, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
3) 2058 is composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029 and 2058
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, 49, 98, 147, 294, 343, 686, 1029 and 2058