Is 826 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 826 is composite or not first we have to find its factors.
Contents
Factors of 826:
- If we have taken numbers from 1, 2, 3…for checking factors of 826, we found that 826 has factors 1, 2, 7, 14, 59, 118, 413 and 826. Hence, we must say that 826 is a composite number.
- Thus, 826 is the composite umber.
- If we multiply 826 by 1, 2, 3 then we get the multiples of 826 which are 826, 1652 and so on.
About the number 826:
- 826 has more than two factors which are 1, 2, 7, 14, 59, 118, 413 and 826 and hence it is the composite number.
- 826 is the even composite number and it is not the perfect square also.
- If we divide 826 by 1, 2, 7, 14, 59, 118, 413 and 826 then we get remainder as zero. Hence, 1, 2, 7, 14, 59, 118, 413 and 826 are the factors of 826.
Note:
- 826 is not the perfect square.
- Factors of 826: 1, 2, 7, 14, 59, 118, 413 and 826
- Prime factors of 826: 2, 3, 59
Conclusion:
- 826 is the composite number which has factors 1, 2, 7, 14, 59, 118, 413 and 826
- And hence, 826 is not the prime number.
Multiple Choice Questions:
1) 826 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 826 are
a) 1
b) 2, 3, 59
c) 1, 7, 14, 118, 413 and 826
d) 1, 2, 7, 14, 59, 118, 413 and 826
Ans: b) 2, 3, 59
3) 826 is the composite number because
a) It has factors 1, 2, 7, 14, 59, 118, 413 and 826
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 7, 14, 59, 118, 413 and 826