Is 2412 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 2412 is composite or not first we have to find its factors.
Contents
Factors of 2412:
- If we have taken numbers from 1, 2, 3…for checking factors of 2412, we found that 2412 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412. Hence, we must say that 2412 is a composite number.
- Thus, 2412 is the composite number.
- If we multiply 2412 by 1, 2, 3 then we get the multiples of 2412 which are 2412, 4824 and so on.
About the number 2412:
- 2412 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412 and hence it is the composite number.
- 2412 is the even composite number and it is not the perfect square also.
- If we divide 2412 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412 are the factors of 2412.
Note:
- 2412 is not the perfect square.
- Factors of 2412: 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412
- Prime factors of 2412: 2, 3, 67
Conclusion:
- 2412 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412
- And hence, 2412 is not the prime number.
Multiple Choice Questions:
1) 2412 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 2412 are
a) 2412
b) 2, 3, 67
c) 1, 4, 6, 9, 12, 18, 36, 134, 201, 268, 402, 603, 804, 1206 and 2412
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412
Ans: b) 2, 3, 67
3) 2412 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206 and 2412
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b