Is 2470 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 2470 is composite or not first we have to find its factors.
Contents
Factors of 2470:
- If we have taken numbers from 1, 2, 3…for checking factors of 2470, we found that 2470 has factors 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470. Hence, we must say that 2470 is a composite number.
- Thus, 2470 is the composite number.
- If we multiply 2470 by 1, 2, 3 then we get the multiples of 2470 which are 2470, 4940 and so on.
About the number 2470:
- 2470 has more than two factors which are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470 and hence it is the composite number.
- 2470 is the even composite number and it is not the perfect square also.
- If we divide 2470 by, 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470 then we get remainder as zero. Hence, 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470 are the factors of 2470.
Note:
- 2470 is not the perfect square.
- Factors of 2470: 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470
- Prime factors of 2470: 2, 5, 13, 19
Conclusion:
- 2470 is the composite number which has factors 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470
- And hence, 2470 is not the prime number.
Multiple Choice Questions:
1) 2470 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2470 are
a) 2470
b) 2, 5, 13, 19
c) 1, 10, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470
d) 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470
Ans: b) 2, 5, 13, 19
3) 2470 is composite number because
a) It has factors 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235 and 2470
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b