Is 2478 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 2478 is composite or not first we have to find its factors.
Contents
Factors of 2478:
- If we have taken numbers from 1, 2, 3…for checking factors of 2478, we found that 2478 has factors 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478. Hence, we must say that 2478 is a composite number.
- Thus, 2478 is the composite number.
- If we multiply 2478 by 1, 2, 3 then we get the multiples of 2478 which are 2478, 4956 and so on.
About the number 2478:
- 2478 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478 and hence it is the composite number.
- 2478 is the even composite number and it is not the perfect square also.
- If we divide 2478 by, 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478 are the factors of 2478.
Note:
- 2478 is not the perfect square.
- Factors of 2478: 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478
- Prime factors of 2478: 2, 3, 7, 59
Conclusion:
- 2478 is the composite number which has factors 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478
- And hence, 2478 is not the prime number.
Multiple Choice Questions:
1) 2478 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 2478 are
a) 2478
b) 2, 3, 7, 59
c) 1, 6, 14, 21, 42, 118, 177, 354, 413, 826, 1239 and 2478
d) 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478
Ans: b) 2, 3, 7, 59
3) 2478 is composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239 and 2478
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b