Is 486 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 486 is composite or not first we have to find its factors.
Contents
Factors of 486:
- If we have taken numbers from 1, 2, 3…for checking factors of 486, we found that 486 has factors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486. Hence, we must say that 486 is a composite number.
- Thus, 486 is the composite umber.
- If we multiply 486 by 1, 2, 3 then we get the multiples of 486 which are 486, 972 and so on.
About the number 486:
- 486 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486 and hence it is the composite number.
- 486 is the even composite number and it is not the perfect square also.
- If we divide 486 by 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486 are the factors of 486.
Note:
- 486 is not the perfect square.
- Factors of 486: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486
- Prime factors of 486: 2, 3
Conclusion:
- 486 is the composite number which has factors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486
- And hence, 486 is not the prime number.
Multiple Choice Questions:
1) 486 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 486 are
a) 2
b) 2, 3
c) 1, 6, 9, 18, 27, 54, 81, 162, 243 and 486
d) 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243 and 486
Ans: b) 2, 3
3) 486 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c