Is 2898 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 2898 is composite or not first we have to find its factors.
Contents
Factors of 2898:
- If we have taken numbers from 1, 2, 3…for checking factors of 2898, we found that 2898 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898. Hence, we must say that 2898 is a composite number.
- Thus, 2898 is the composite number.
- If we multiply 2898 by 1, 2, 3 then we get the multiples of 2898 which are 2898, 5796 and so on.
About the number 2898:
- 2898 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898 and hence it is the composite number.
- 2898 is the even composite number and it is not the perfect square also.
- If we divide 2898 by, 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898 are the factors of 2898.
Note:
- 2898 is not the perfect square.
- Factors of 2898: 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
- Prime factors of 2898: 2, 3, 7, 23
Conclusion:
- 2898 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
- And hence, 2898 is not the prime number.
Multiple Choice Questions:
1) 2898 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2898 are
a) 2898
b) 2, 3, 7, 23
c) 6, 9, 14, 18, 21, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
Ans: c) 6, 9, 14, 18, 21, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
3) 2898 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449 and 2898
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c