Is 648 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 648 is composite or not first we have to find its factors.
Contents
Factors of 648:
- If we have taken numbers from 1, 2, 3…for checking factors of 648, we found that 648 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648. Hence, we must say that 648 is a composite number.
- Thus, 648 is the composite umber.
- If we multiply 648 by 1, 2, 3 then we get the multiples of 648 which are 648, 1296 and so on.
About the number 648:
- 648 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648 and hence it is the composite number.
- 648 is the even composite number and it is not the perfect square also.
- If we divide 648 by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648 are the factors of 648.
Note:
- 648 is not the perfect square.
- Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
- Prime factors of 648: 2, 3
Conclusion:
- 648 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
- And hence, 648 is not the prime number.
Multiple Choice Questions:
1) 648 is a
a) Not a perfect square number
b) Even number
c) Composite number
d) all
Ans: d) all
2) The prime and composite factors of a composite number 648 are
a) 1
b) 2, 3
c) 1, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
Ans: d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
3) 648 is the even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324 and 648
b) More than two factors
c) Divisible by 2
d) all
Ans: d) all