Is 2424 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 2424 is composite or not first we have to find its factors.
Contents
Factors of 2424:
- If we have taken numbers from 1, 2, 3…for checking factors of 2424, we found that 2424 has factors 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424. Hence, we must say that 2424 is a composite number.
- Thus, 2424 is the composite number.
- If we multiply 2424 by 1, 2, 3 then we get the multiples of 2424 which are 2424, 4848 and so on.
About the number 2424:
- 2424 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424 and hence it is the composite number.
- 2424 is the even composite number and it is not the perfect square also.
- If we divide 2424 by, 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424 are the factors of 2424.
Note:
- 2424 is not the perfect square.
- Factors of 2424: 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424
- Prime factors of 2424: 2, 3, 101
Conclusion:
- 2424 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424
- And hence, 2424 is not the prime number.
Multiple Choice Questions:
1) 2424 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 2424 are
a) 2424
b) 2, 3, 101
c) 1, 4, 6, 8, 12, 24, 202, 303, 404, 606, 808, 1212 and 2424
d) 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424
Ans: b) 2, 3, 101
3) 2424 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212 and 2424
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b