Is 2430 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 2430 is composite or not first we have to find its factors.
Contents
Factors of 2430:
- If we have taken numbers from 1, 2, 3…for checking factors of 2430, we found that 2430 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430. Hence, we must say that 2430 is a composite number.
- Thus, 2430 is the composite number.
- If we multiply 2430 by 1, 2, 3 then we get the multiples of 2430 which are 2430, 4860 and so on.
About the number 2430:
- 2430 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430 and hence it is the composite number.
- 2430 is the even composite number and it is not the perfect square also.
- If we divide 2430 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430 are the factors of 2430.
Note:
- 2430 is not the perfect square.
- Factors of 2430: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430
- Prime factors of 2430: 2, 3, 5
Conclusion:
- 2430 is the composite number which has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430
- And hence, 2430 is not the prime number.
Multiple Choice Questions:
1) 2430 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 2430 are
a) 2430
b) 2, 3, 5
c) 1, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430
Ans: b) 2, 3, 5
3) 2430 is composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215 and 2430
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b