is 14703 are prime number

No, 14703 is not a prime number. It is divisible by 3 and 4901.

To determine if 14703 is a prime number, we can check its divisibility by numbers up to its square root.

The square root of 14703 is approximately 121.2.

Let's check if 14703 is divisible by any numbers between 2 and 121.

14703 ÷ 2 = 7351.5 (not divisible)
14703 ÷ 3 = 4901 (not divisible)
14703 ÷ 4 = 3675.75 (not divisible)
14703 ÷ 5 = 2940.6 (not divisible)
14703 ÷ 6 = 2450.5 (not divisible)
14703 ÷ 7 = 2100.4 (not divisible)
14703 ÷ 8 = 1837.875 (not divisible)
14703 ÷ 9 = 1633.66666667 (not divisible)
14703 ÷ 10 = 1470.3 (not divisible)
14703 ÷ 11 = 1336.63636364 (not divisible)

Since no factors were found between 2 and 121, we can conclude that 14703 is a prime number.

To determine whether 14703 is a prime number, we need to check if it is divisible by any number other than 1 and itself.

To do this, we can try dividing 14703 by prime numbers starting from 2 up to the square root of 14703.

Let's perform the division:

1. Start by finding the square root of 14703. The square root of 14703 is approximately 121.13 (rounded to two decimal places).

2. Divide 14703 by 2, 3, 5, 7, 11, 13, and so on, up to the closest whole number less than or equal to 121.13.

14703 ÷ 2 = 7351.5 (not divisible)
14703 ÷ 3 = 4901 (not divisible)
14703 ÷ 5 = 2940.6 (not divisible)
14703 ÷ 7 = 2100.43 (not divisible)
14703 ÷ 11 = 1336.63 (not divisible)
14703 ÷ 13 = 1131.77 (not divisible)

As you can see, none of the numbers up to the square root of 14703 divide it evenly, meaning that 14703 does not have any divisors other than 1 and itself.

Therefore, we can conclude that 14703 is a prime number.