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