Is 1953 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 1953 is composite or not first we have to find its factors.
Contents
Factors of 1953:
- If we have taken numbers from 1, 2, 3…for checking factors of 1953, we found that 1953 has factors 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953. Hence, we must say that 1953 is a composite number.
- Thus, 1953 is the composite number.
- If we multiply 1953 by 1, 2, 3 then we get the multiples of 1953 which are 1953, 3906 and so on.
1953 is a Composite number or Prime number
About the number 1953:
- 1953 has more than two factors which are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953 and hence it is the composite number.
- 1953 is the odd composite number and it is not the perfect square also.
- If we divide 1953 by 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953 then we get remainder as zero. Hence, 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953 are the factors of 1953
Note:
- 1953 is not the perfect square.
- Factors of 1953: 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953
- Prime factors of 1953: 3, 7, 31
Conclusion:
- 1953 is the composite number which has factors 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953.
- And hence, 1953 is not the prime number.
Multiple Choice Questions:
1) 1953 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1953 are
a) 1
b) 3, 7, 31
c) 1, 9, 21, 63, 93, 217, 279, 651 and 1953
d) 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953
Ans: c) 1, 9, 21, 63, 93, 217, 279, 651 and 1953
3) 1953 is the odd composite number because
a) It has factors 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651 and 1953
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all