Is 3456 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 3456 is composite or not first we have to find its factors.
Contents
Factors of 3456:
- If we have taken numbers from 1, 2, 3…for checking factors of 3456, we found that 3456 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456. Hence, we must say that 3456 is a composite number.
- Thus, 3456 is the composite number.
- If we multiply 3456 by 1, 2, 3 then we get the multiples of 3456 which are 3456, 6912 and so on.
About the number 3456:
- 3456 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456 and hence it is the composite number.
- 3456 is the even composite number and it is not the perfect square also.
- If we divide 3456 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456 are the factors of 3456.
Note:
- 3456 is not the perfect square.
- Factors of 3456: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456
- Prime factors of 3456: 2, 3
Conclusion:
- 3456 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456
- And hence, 3456 is not the prime number.
Multiple Choice Questions:
1) 3456 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3456 are
a) 3456
b) 2, 3
c) 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456
Ans: b) 2, 3
3) 3456 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728 and 3456
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all