# Is 2117 a Composite number

## Is 2117 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 2117 is composite or not first we have to find its factors.

### Factors of 2117:

• If we have taken numbers from 1, 2, 3…for checking factors of 2117, we found that 2117 has factors 1, 29, 73 and 2117. Hence, we must say that 2117 is a composite number.
• Thus, 2117 is the composite number.
• If we multiply 2117 by 1, 2, 3 then we get the multiples of 2117 which are 2117, 4234 and so on.

### 2117 is a Composite number or Prime number

• 2117 has more than two factors which are 1, 29, 73 and 2117 and hence it is the composite number.
• 2117 is the odd composite number and it is not the perfect square also.
• If we divide 2117 by 1, 29, 73 and 2117 then we get remainder as zero. Hence, 1, 29, 73 and 2117 are the factors of 2117

### Note:

• 2117 is not the perfect square.
• Factors of 2117: 1, 29, 73 and 2117
• Prime factors of 2117: 29, 73

### Conclusion:

• 2117 is the composite number which has factors 1, 29, 73 and 2117.
• And hence, 2117 is not the prime number.

#### Multiple Choice Questions:

1) 2117 is a

a) odd number

b) Prime number

c) Composite number

d) Both a and c

Ans: d) both a and c

2) The prime factors of a composite number 2117 are

a) 1

b) 29, 73

c) 1 and 2117

d) 1, 29, 73 and 2117

Ans: b) 29, 73

3) 2117 is the composite number because

a) It has factors 1, 29, 73 and 2117

b) It has more than two factors

c) It is not divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: March 3, 2022 — 4:51 pm