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