Is 882 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 882 is composite or not first we have to find its factors.
Contents
Factors of 882:
- If we have taken numbers from 1, 2, 3…for checking factors of 882, we found that 882 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882. Hence, we must say that 882 is a composite number.
- Thus, 882 is the composite umber.
- If we multiply 882 by 1, 2, 3 then we get the multiples of 882 which are 882, 1764 and so on.
About the number 882:
- 882 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882 and hence it is the composite number.
- 882 is the even composite number and it is not the perfect square also.
- If we divide 882 by 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882 are the factors of 882.
Note:
- 882 is not the perfect square.
- Factors of 882: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
- Prime factors of 882: 2, 3, 7
Conclusion:
- 882 is the composite number which has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
- And hence, 882 is not the prime number.
Multiple Choice Questions:
1) 882 is a
a) Odd number
b) Prime number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 882 are
a) 1
b) 2, 3, 7
c) 1, 6, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
Ans: b) 2, 3, 7
3) 882 is the composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882