# Is 4186 is a Composite number

## Is 4186 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 4186 is composite or not first we have to find its factors.

### Factors of 4186:

• If we have taken numbers from 1, 2, 3…for checking factors of 4186 we found that 4186 has factors 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186. Hence, we must say that 4186 is a composite number.
• Thus, 4186 is the composite number.
• If we multiply 4186 by 1, 2, 3 then we get the multiples of 4186 which are 4186, 8372 and so on.

• 4186 has more than two factors which are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186 and hence it is the composite number.
• 4186 is the even composite number and it is not the perfect square also.
• If we divide 4186 by, 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186 then we get remainder as zero. Hence, 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186 are the factors of 4186.

### Note:

• 4186 is not the perfect square.
• Factors of 4186: 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186
• Prime factors of 4186: 2, 7, 13, 23

### Conclusion:

• 4186 is the composite number which has factors, 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186
• And hence, 4186 is not the prime number.

#### Multiple Choice Questions:

1) 4186 is a

a) Prime number

b) Even number

c) Composite number

d) Both b and c

Ans: d) both b and c

2) The composite factors of a composite number 4186 are

a) 4186

b) 2, 7, 13, 23

c) 14, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186

d) 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186

Ans: c) 14, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186

3) 4186 is composite number because

a) It has factors 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093 and 4186

b) It has more than two factors

c) Divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: January 25, 2022 — 3:29 pm