Is 3510 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 3510 is composite or not first we have to find its factors.
Factors of 3510:
- If we have taken numbers from 1, 2, 3…for checking factors of 3510, we found that 3510 has factors 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510. Hence, we must say that 3510 is a composite number.
- Thus, 3510 is the composite number.
- If we multiply 3510 by 1, 2, 3 then we get the multiples of 3510 which are 3510, 7020 and so on.
About the number 3510:
- 3510 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510 and hence it is the composite number.
- 3510 is the even composite number and it is not the perfect square also.
- If we divide 3510 by, 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510 are the factors of 3510.
Note:
- 3510 is not the perfect square.
- Factors of 3510: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510
- Prime factors of 3510: 2, 3, 5, 13
Conclusion:
- 3510 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510
- And hence, 3510 is not the prime number.
Multiple Choice Questions:
1) 3510 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3510 are
a) 3510
b) 2, 3, 5, 13
c) 6, 9, 10, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510
d) 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510
Ans: b) 2, 3, 5, 13
3) 3510 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755 and 3510
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all