Is 2154 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 2154 is composite or not first we have to find its factors.
Contents
Factors of 2154:
- If we have taken numbers from 1, 2, 3…for checking factors of 2154, we found that 2154 has factors 1, 2, 3, 6, 359, 718, 1077 and 2154. Hence, we must say that 2154 is a composite number.
- Thus, 2154 is the composite number.
- If we multiply 2154 by 1, 2, 3 then we get the multiples of 2154 which are 2154, 4308 and so on.
About the number 2154:
- 2154 has more than two factors which are 1, 2, 3, 6, 359, 718, 1077 and 2154 and hence it is the composite number.
- 2154 is the even composite number and it is not the perfect square also.
- If we divide 2154 by, 1, 2, 3, 6, 359, 718, 1077 and 2154 then we get remainder as zero. Hence, 1, 2, 3, 6, 359, 718, 1077 and 2154 are the factors of 2154.
Note:
- 2154 is not the perfect square.
- Factors of 2154: 1, 2, 3, 6, 359, 718, 1077 and 2154
- Prime factors of 2154: 2, 3, 359
Conclusion:
- 2154 is the composite number which has factors 1, 2, 3, 6, 359, 718, 1077 and 2154
- And hence, 2154 is not the prime number.
Multiple Choice Questions:
1) 2154 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 2154 are
a) 2154
b) 2, 3, 359
c) 1, 6, 718, 1077 and 2154
d) 1, 2, 3, 6, 359, 718, 1077 and 2154
Ans: c) 1, 6, 718, 1077 and 2154
3) 2154 is composite number because
a) It has factors 1, 2, 3, 6, 359, 718, 1077 and 2154
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 6, 359, 718, 1077 and 2154