Prime Factors of 1000001

Steps to find Prime Factors of 1000001 by Division Method

To find the primefactors of 1000001 using the division method, follow these steps:

• Step 1. Start dividing 1000001 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 1000001, which is 101. Divide 1000001 by 101 to obtain the quotient (9901).
  1000001 ÷ 101 = 9901
• Step 3. Repeat step 1 with the obtained quotient (9901).
  9901 ÷ 9901 = 1

So, the prime factorization of 1000001 is, 1000001 = 101 x 9901.

Steps to find Prime Factors of 1000001 by Factor Tree Method

We can follow the same procedure using the factor tree of 1000001 as shown below:

So, the prime factorization of 1000001 is, 1000001 = 101 x 9901.

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 1000001 are 101 x 9901.

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 1000001 but not a prime factor of 1000001.

Frequently Asked Questions

• Which is the smallest prime factor of 1000001?

  Smallest prime factor of 1000001 is 101.

• What is the prime factorization of 1000001?

  Prime factorization of 1000001 is 101 x 9901.

• What is prime factorization of 1000001 in exponential form?

  Prime factorization of 1000001 in exponential form is 101 x 9901.

• Is 1000001 a prime number or a composite number?

  1000001 is a composite number.

• Is 1000001 a prime number?

  false, 1000001 is not a prime number.

• How to find prime factorization of 1000001 easily?

  To find prime factorization of 1000001 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1000001?

  The largest prime factor of 1000001 is 9901.

• What is the product of all prime factors of 1000001?

  Prime factors of 1000001 are 101 x 9901. Therefore, their product is 1000001.

• What is the sum of all odd prime factors of 1000001?

  Prime factors of 1000001 are 101 , 9901, out of which 101 , 9901 are odd numbers. So, the sum of odd prime factors of 1000001 is 101 + 9901 = 10002.