Prime Factors of 1001

Steps to find Prime Factors of 1001 by Division Method

To find the primefactors of 1001 using the division method, follow these steps:

• Step 1. Start dividing 1001 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 1001, which is 7. Divide 1001 by 7 to obtain the quotient (143).
  1001 ÷ 7 = 143
• Step 3. Repeat step 1 with the obtained quotient (143).
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1001 is, 1001 = 7 x 11 x 13.

Steps to find Prime Factors of 1001 by Factor Tree Method

We can follow the same procedure using the factor tree of 1001 as shown below:

So, the prime factorization of 1001 is, 1001 = 7 x 11 x 13.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1001 are 7 x 11 x 13.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 1001 but not a prime factor of 1001.

Frequently Asked Questions

• Which is the smallest prime factor of 1001?

  Smallest prime factor of 1001 is 7.

• What is the prime factorization of 1001?

  Prime factorization of 1001 is 7 x 11 x 13.

• What is prime factorization of 1001 in exponential form?

  Prime factorization of 1001 in exponential form is 7 x 11 x 13.

• Is 1001 a prime number or a composite number?

  1001 is a composite number.

• Is 1001 a prime number?

  false, 1001 is not a prime number.

• How to find prime factorization of 1001 easily?

  To find prime factorization of 1001 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1001?

  The largest prime factor of 1001 is 13.

• What is the product of all prime factors of 1001?

  Prime factors of 1001 are 7 x 11 x 13. Therefore, their product is 1001.

• What is the sum of all odd prime factors of 1001?

  Prime factors of 1001 are 7 , 11 , 13, out of which 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 1001 is 7 + 11 + 13 = 31.