Is 1416 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 1416 is composite or not first we have to find its factors.
Contents
Factors of 1416:
- If we have taken numbers from 1, 2, 3…for checking factors of 1416, we found that 1416 has factors 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416. Hence, we must say that 1416 is a composite number.
- Thus, 1416 is the composite number.
- If we multiply 1416 by 1, 2, 3 then we get the multiples of 1416 which are 1416, 2832 and so on.
About the number 1416:
- 1416 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416 and hence it is the composite number.
- 1416 is the even composite number and it is not the perfect square also.
- If we divide 1416 by 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416 are the factors of 1416.
Note:
- 1416 is not the perfect square.
- Factors of 1416: 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416
- Prime factors of 1416: 2, 3, 59
Conclusion:
- 1416 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416
- And hence, 1416 is not the prime number.
Multiple Choice Questions:
1) 1416 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1416 are
a) 4, 6, 8, 12, 24, 118, 177, 236, 354, 472, 708 and 1416
b) 2, 3, 59
c) 1, 4, 6, 8, 12, 24, 118, 177, 236, 354, 472, 708 and 1416
d) 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416
Ans: a) 4, 6, 8, 12, 24, 118, 177, 236, 354, 472, 708 and 1416
3) 1416 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708 and 1416
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b