Is 3480 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 3480 is composite or not first we have to find its factors.
Factors of 3480:
- If we have taken numbers from 1, 2, 3…for checking factors of 3480, we found that 3480 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480. Hence, we must say that 3480 is a composite number.
- Thus, 3480 is the composite number.
- If we multiply 3480 by 1, 2, 3 then we get the multiples of 3480 which are 3480, 6960 and so on.
About the number 3480:
- 3480 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480 and hence it is the composite number.
- 3480 is the even composite number and it is not the perfect square also.
- If we divide 3480 by, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480 are the factors of 3480.
Note:
- 3480 is not the perfect square.
- Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480
- Prime factors of 3480: 2, 3, 5, 29
Conclusion:
- 3480 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740and 3480
- And hence, 3480 is not the prime number.
Multiple Choice Questions:
1) 3480 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 3480 are
a) 3480
b) 2, 3, 5, 29
c) 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480
Ans: b) 2, 3, 5, 29
3) 3480 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740 and 3480
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all