Is 480 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 480 is composite or not first we have to find its factors.
Contents
Factors of 480:
- If we have taken numbers from 1, 2, 3…for checking factors of 480, we found that 480 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480. Hence, we must say that 480 is a composite number.
- Thus, 480 is the composite umber.
- If we multiply 480 by 1, 2, 3 then we get the multiples of 480 which are 480, 960 and so on.
About the number 480:
- 480 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480 and hence it is the composite number.
- 480 is the even composite number and it is not the perfect square also.
- If we divide 480 by 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480 are the factors of 480.
Note:
- 480 is not the perfect square.
- Factors of 480:1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480
- Prime factors of 480: 2, 3, 5
Conclusion:
- 480 is the composite number which has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480
- And hence, 480 is not the prime number.
Multiple Choice Questions:
1) 480 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 480 are
a) 2
b) 2, 3, 5
c) 1, 4, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480
Ans: b) 2, 3, 5
3) 480 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