Is 2604 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 2604 is composite or not first we have to find its factors.
Contents
Factors of 2604:
- If we have taken numbers from 1, 2, 3…for checking factors of 2604, we found that 2604 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604. Hence, we must say that 2604 is a composite number.
- Thus, 2604 is the composite number.
- If we multiply 2604 by 1, 2, 3 then we get the multiples of 2604 which are 2604, 5208 and so on.
About the number 2604:
- 2604 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604 and hence it is the composite number.
- 2604 is the even composite number and it is not the perfect square also.
- If we divide 2604 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604 are the factors of 2604.
Note:
- 2604 is not the perfect square.
- Factors of 2604: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
- Prime factors of 2604: 2, 3, 7, 31
Conclusion:
- 2604 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
- And hence, 2604 is not the prime number.
Multiple Choice Questions:
1) 2604 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 2604 are
a) 2604
b) 2, 3, 7, 31
c) 4, 6, 12, 14, 21, 28, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
Ans: c) 4, 6, 12, 14, 21, 28, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
3) 2604 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302 and 2604
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c