Is 2546 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 2546 is composite or not first we have to find its factors.
Contents
Factors of 2546:
- If we have taken numbers from 1, 2, 3…for checking factors of 2546, we found that 2546 has factors 1, 2, 19, 38, 67, 134, 1273 and 2546. Hence, we must say that 2546 is a composite number.
- Thus, 2546 is the composite number.
- If we multiply 2546 by 1, 2, 3 then we get the multiples of 2546 which are 2546, 5092 and so on.
About the number 2546:
- 2546 has more than two factors which are 1, 2, 19, 38, 67, 134, 1273 and 2546 and hence it is the composite number.
- 2546 is the even composite number and it is not the perfect square also.
- If we divide 2546 by, 1, 2, 19, 38, 67, 134, 1273 and 2546 then we get remainder as zero. Hence, 1, 2, 19, 38, 67, 134, 1273 and 2546 are the factors of 2546.
Note:
- 2546 is not the perfect square.
- Factors of 2546: 1, 2, 19, 38, 67, 134, 1273 and 2546
- Prime factors of 2546: 2, 19, 67
Conclusion:
- 2546 is the composite number which has factors, 1, 2, 19, 38, 67, 134, 1273 and 2546
- And hence, 2546 is not the prime number.
Multiple Choice Questions:
1) 2546 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2546 are
a) 2546
b) 2, 19, 67
c) 1, 38, 134, 1273 and 2546
d) 1, 2, 19, 38, 67, 134, 1273 and 2546
Ans: b) 2, 19, 67
3) 2546 is composite number because
a) It has factors 1, 2, 19, 38, 67, 134, 1273 and 2546
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b