Is 2415 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 2415 is composite or not first we have to find its factors.
Contents
Factors of 2415:
- If we have taken numbers from 1, 2, 3…for checking factors of 2415, we found that 2415 has factors 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415. Hence, we must say that 2415 is a composite number.
- Thus, 2415 is the composite number.
- If we multiply 2415 by 1, 2, 3 then we get the multiples of 2415 which are 2415, 4830 and so on.
2415 is a Composite number or Prime number
About the number 2415:
- 2415 has more than two factors which are 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415 and hence it is the composite number.
- 2415 is the odd composite number and it is not the perfect square also.
- If we divide 2415 by 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415 then we get remainder as zero. Hence, 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415 are the factors of 2415
Note:
- 2415 is not the perfect square.
- Factors of 2415: 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415
- Prime factors of 2415: 3, 5, 7, 23
Conclusion:
- 2415 is the composite number which has factors 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415.
- And hence, 2415 is not the prime number.
Multiple Choice Questions:
1) 2415 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 2415 are
a) 1
b) 3, 5, 7, 23
c) 1 and 2415
d) 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415
Ans: b) 3, 5, 7, 23
3) 2415 is the composite number because
a) It has factors 1, 3, 5, 7, 15, 23, 35, 69, 105, 115, 161, 345, 483, 805 and 2415
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b