Is 4464 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 4464 is composite or not first we have to find its factors.
Factors of 4464:
- If we have taken numbers from 1, 2, 3…for checking factors of 4464 we found that 4464 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464. Hence, we must say that 4464 is a composite number.
- Thus, 4464 is the composite number.
- If we multiply 4464 by 1, 2, 3 then we get the multiples of 4464 which are 4464, 8928 and so on.
About the number 4464:
- 4464 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464 and hence it is the composite number.
- 4464 is the even composite number and it is not the perfect square also.
- If we divide 4464 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464 are the factors of 4464.
Note:
- 4464 is not the perfect square.
- Factors of 4464: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
- Prime factors of 4464: 2, 3, 31
Conclusion:
- 4464 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
- And hence, 4464 is not the prime number.
Multiple Choice Questions:
1) 4464 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4464 are
a) 4464
b) 2, 3, 31
c) 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
Ans: c) 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
3) 4464 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232 and 4464
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b