Chapter 11, Problem 5STP

To determine

To find the option that is not a factor of 3003.

Answer to Problem 5STP

D$17$

Explanation of Solution

Given information:

The number given is 3003.

Formula used:

Used the concept of prime factorization.

Calculation:

Given number is 3003.

To determine which of the options is not a factor, first prime factorize the given number.

This can be done by diving the number by subsequent prime numbers starting from 3.

Since the given options are all prime numbers, prime factorization would get the result.

Factorizing 3003.

  $=3\times 1001$

Since 3003 is an odd number, 2 would not be a prime factor.

  $=3\times 7\times 143$

The next number to divide this number completely is 7.

  $=3\times 7\times 11\times 13$

On further factorization, 3003 is completely factorized till 13.

Hence 17 is not a factor of 3003.