Is 3528 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 3528 is composite or not first we have to find its factors.
Factors of 3528:
- If we have taken numbers from 1, 2, 3…for checking factors of 3528, we found that 3528 has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528. Hence, we must say that 3528 is a composite number.
- Thus, 3528 is the composite number.
- If we multiply 3528 by 1, 2, 3 then we get the multiples of 3528 which are 3528, 7056 and so on.
About the number 3528:
- 3528 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528 and hence it is the composite number.
- 3528 is the even composite number and it is not the perfect square also.
- If we divide 3528 by, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528 are the factors of 3528.
Note:
- 3528 is not the perfect square.
- Factors of 3528: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
- Prime factors of 3528: 2, 3, 7
Conclusion:
- 3528 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
- And hence, 3528 is not the prime number.
Multiple Choice Questions:
1) 3528 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 3528 are
a) 3528
b) 2, 3, 7
c) 4, 6, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
d) 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
Ans: b) 2, 3, 7
3) 3528 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all