Is 828 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 828 is composite or not first we have to find its factors.
Contents
Factors of 828:
- If we have taken numbers from 1, 2, 3…for checking factors of 828, we found that 828 has factors 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828. Hence, we must say that 828 is a composite number.
- Thus, 828 is the composite umber.
- If we multiply 828 by 1, 2, 3 then we get the multiples of 828 which are 828, 1656 and so on.
About the number 828:
- 828 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828 and hence it is the composite number.
- 828 is the even composite number and it is not the perfect square also.
- If we divide 828 by 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828 are the factors of 828.
Note:
- 828 is not the perfect square.
- Factors of 828: 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828
- Prime factors of 828: 2, 3, 23
Conclusion:
- 828 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828
- And hence, 828 is not the prime number.
Multiple Choice Questions:
1) 828 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 828 are
a) 1
b) 2, 3, 23
c) 1, 4, 6, 9, 12, 18, 36, 46, 69, 92, 138, 207, 276, 414 and 828
d) 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828
Ans: b) 2, 3, 23
3) 828 is the composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414 and 828