Is 768 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 768 is composite or not first we have to find its factors.
Contents
Factors of 768:
- If we have taken numbers from 1, 2, 3…for checking factors of 768, we found that 768 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768. Hence, we must say that 768 is a composite number.
- Thus, 768 is the composite umber.
- If we multiply 768 by 1, 2, 3 then we get the multiples of 768 which are 768, 1536 and so on.
About the number 768:
- 768 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768 and hence it is the composite number.
- 768 is the even composite number and it is not the perfect square also.
- If we divide 768 by 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768 are the factors of 768.
Note:
- 768 is not the perfect square.
- Factors of 768: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and768
- Prime factors of 768: 2, 3
Conclusion:
- 768 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768
- And hence, 768 is not the prime number.
Multiple Choice Questions:
1) 768 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 768 are
a) 1
b) 2, 3
c) 1, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768
Ans: b) 2, 3
3) 768 is the composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768
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, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768