Is 1020 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 1020 is composite or not first we have to find its factors.
Contents
Factors of 1020:
- If we have taken numbers from 1, 2, 3…for checking factors of 1020, we found that 1020 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020. Hence, we must say that 1020 is a composite number.
- Thus, 1020 is the composite umber.
- If we multiply 1020 by 1, 2, 3 then we get the multiples of 1020 which are 1020, 2040 and so on.
About the number 1020:
- 1020 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020 and hence it is the composite number.
- 1020 is the even composite number and it is not the perfect square also.
- If we divide 1020 by 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020 are the factors of 1020.
Note:
- 1020 is not the perfect square.
- Factors of 1020: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
- Prime factors of 1020: 2, 3, 5, 17
Conclusion:
- 1020 is the composite number which has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
- And hence, 1020 is not the prime number.
Multiple Choice Questions:
1) 1020 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The non-prime factors of a composite number 1020 are
a) 1
b) 2, 3, 5, 17
c) 1, 4, 6, 10, 12, 15, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
Ans: c) 1, 4, 6, 10, 12, 15, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
3) 1020 is even the composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510 and 1020
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all