Is 3648 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 3648 is composite or not first we have to find its factors.
Contents
Factors of 3648:
- If we have taken numbers from 1, 2, 3…for checking factors of 3648, we found that 3648 has factors 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648. Hence, we must say that 3648 is a composite number.
- Thus, 3648 is the composite number.
- If we multiply 3648 by 1, 2, 3 then we get the multiples of 3648 which are 3648, 7296 and so on.
About the number 3648:
- 3648 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648 and hence it is the composite number.
- 3648 is the even composite number and it is not the perfect square also.
- If we divide 3648 by, 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648 are the factors of 3648.
Note:
- 3648 is not the perfect square.
- Factors of 3648: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648
- Prime factors of 3648: 2, 3, 19
Conclusion:
- 3648 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648
- And hence, 3648 is not the prime number.
Multiple Choice Questions:
1) 3648 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 3648 are
a) 3648
b) 2, 3, 19
c) 4, 6, 8, 12, 16, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648
d) 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648
Ans: b) 2, 3, 19
3) 3648 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824 and 3648
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all