Is 3534 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 3534 is composite or not first we have to find its factors.
Contents
Factors of 3534:
- If we have taken numbers from 1, 2, 3…for checking factors of 3534, we found that 3534 has factors 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534. Hence, we must say that 3534 is a composite number.
- Thus, 3534 is the composite number.
- If we multiply 3534 by 1, 2, 3 then we get the multiples of 3534 which are 3534, 7068 and so on.
About the number 3534:
- 3534 has more than two factors which are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534 and hence it is the composite number.
- 3534 is the even composite number and it is not the perfect square also.
- If we divide 3534 by, 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534 then we get remainder as zero. Hence, 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534 are the factors of 3534.
Note:
- 3534 is not the perfect square.
- Factors of 3534: 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534
- Prime factors of 3534: 2, 3, 19, 31
Conclusion:
- 3534 is the composite number which has factors, 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534
- And hence, 3534 is not the prime number.
Multiple Choice Questions:
1) 3534 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 3534 are
a) 3534
b) 2, 3, 19, 31
c) 6, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534
d) 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534
Ans: b) 2, 3, 19, 31
3) 3534 is even composite number because
a) It has factors 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767 and 3534
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all