Is 3576 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 3576 is composite or not first we have to find its factors.
Contents
Factors of 3576:
- If we have taken numbers from 1, 2, 3…for checking factors of 3576, we found that 3576 has factors 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576. Hence, we must say that 3576 is a composite number.
- Thus, 3576 is the composite number.
- If we multiply 3576 by 1, 2, 3 then we get the multiples of 3576 which are 3576, 7152 and so on.
About the number 3576:
- 3576 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576 and hence it is the composite number.
- 3576 is the even composite number and it is not the perfect square also.
- If we divide 3576 by, 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576 are the factors of 3576.
Note:
- 3576 is not the perfect square.
- Factors of 3576: 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576
- Prime factors of 3576: 2, 3, 149
Conclusion:
- 3576 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576
- And hence, 3576 is not the prime number.
Multiple Choice Questions:
1) 3576 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3576 are
a) 3576
b) 2, 3, 149
c) 4, 6, 8, 12, 24, 298, 447, 596, 894, 1192, 1788 and 3576
d) 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576
Ans: b) 2, 3, 149
3) 3576 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788 and 3576
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all