Is 2490 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 2490 is composite or not first we have to find its factors.
Contents
Factors of 2490:
- If we have taken numbers from 1, 2, 3…for checking factors of 2490, we found that 2490 has factors 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490. Hence, we must say that 2490 is a composite number.
- Thus, 2490 is the composite number.
- If we multiply 2490 by 1, 2, 3 then we get the multiples of 2490 which are 2490, 4980 and so on.
About the number 2490:
- 2490 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490 and hence it is the composite number.
- 2490 is the even composite number and it is not the perfect square also.
- If we divide 2490 by, 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490 are the factors of 2490.
Note:
- 2490 is not the perfect square.
- Factors of 2490: 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490
- Prime factors of 2490: 2, 3, 5, 83
Conclusion:
- 2490 is the composite number which has factors 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490
- And hence, 2490 is not the prime number.
Multiple Choice Questions:
1) 2490 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 2490 are
a) 2490
b) 2, 3, 5, 83
c) 1, 6, 10, 15, 30, 166, 249, 415, 498, 830, 1245 and 2490
d) 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490
Ans: b) 2, 3, 5, 83
3) 2490 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245 and 2490
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b