Prime Factors of 1003

Steps to find Prime Factors of 1003 by Division Method

To find the primefactors of 1003 using the division method, follow these steps:

• Step 1. Start dividing 1003 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1003, which is 17. Divide 1003 by 17 to obtain the quotient (59).
  1003 ÷ 17 = 59
• Step 3. Repeat step 1 with the obtained quotient (59).
  59 ÷ 59 = 1

So, the prime factorization of 1003 is, 1003 = 17 x 59.

Steps to find Prime Factors of 1003 by Factor Tree Method

We can follow the same procedure using the factor tree of 1003 as shown below:

So, the prime factorization of 1003 is, 1003 = 17 x 59.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1003 are 17 x 59.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 1003 but not a prime factor of 1003.

Frequently Asked Questions

• Which is the smallest prime factor of 1003?

  Smallest prime factor of 1003 is 17.

• Is 1003 a perfect square?

  No 1003 is not a perfect square.

• What is the prime factorization of 1003?

  Prime factorization of 1003 is 17 x 59.

• What is prime factorization of 1003 in exponential form?

  Prime factorization of 1003 in exponential form is 17 x 59.

• Is 1003 a prime number?

  false, 1003 is not a prime number.

• Which is the largest prime factors of 1003?

  The largest prime factor of 1003 is 59.

• What is the product of all prime factors of 1003?

  Prime factors of 1003 are 17 x 59. Therefore, their product is 1003.

• What is the sum of all odd prime factors of 1003?

  Prime factors of 1003 are 17 , 59, out of which 17 , 59 are odd numbers. So, the sum of odd prime factors of 1003 is 17 + 59 = 76.

• What is the product of all odd prime factors of 1003?

  Prime factors of 1003 are 17 , 59, out of which 17 , 59 are odd numbers. So, the product of odd prime factors of 1003 is 17 x 59 = 1003.