Is 2610 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 2610 is composite or not first we have to find its factors.
Contents
Factors of 2610:
- If we have taken numbers from 1, 2, 3…for checking factors of 2610, we found that 2610 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610. Hence, we must say that 2610 is a composite number.
- Thus, 2610 is the composite number.
- If we multiply 2610 by 1, 2, 3 then we get the multiples of 2610 which are 2610, 5220 and so on.
About the number 2610:
- 2610 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610 and hence it is the composite number.
- 2610 is the even composite number and it is not the perfect square also.
- If we divide 2610 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610 are the factors of 2610.
Note:
- 2610 is not the perfect square.
- Factors of 2610: 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
- Prime factors of 2610: 2, 3, 5, 29
Conclusion:
- 2610 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
- And hence, 2610 is not the prime number.
Multiple Choice Questions:
1) 2610 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2610 are
a) 2610
b) 2, 3, 5, 29
c) 6, 9, 10, 15, 18, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
Ans: c) 6, 9, 10, 15, 18, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
3) 2610 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c