1. Steps to find factors of 100001 using Division Method

Example: Find factors of 100001

  • Divide 100001 by 1: 100001 ÷ 1 : Remainder = 0
  • Divide 100001 by 11: 100001 ÷ 11 : Remainder = 0
  • Divide 100001 by 9091: 100001 ÷ 9091 : Remainder = 0
  • Divide 100001 by 100001: 100001 ÷ 100001 : Remainder = 0

Hence, Factors of 100001 are 1, 11, 9091, and 100001

2. Steps to find factors of 100001 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 100001 using the division method, follow these steps:

  • Step 1. Start dividing 100001 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 100001, which is 11. Divide 100001 by 11 to obtain the quotient (9091).
    100001 ÷ 11 = 9091
  • Step 3. Repeat step 1 with the obtained quotient (9091).
    9091 ÷ 9091 = 1

So, the prime factorization of 100001 is, 100001 = 11 x 9091.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 100001 as shown below:

So, the prime factorization of 100001 is, 100001 = 11 x 9091.

3. Find factors of 100001 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 100001 would be the two numbers which, when multiplied, give 100001 as the result.

The following table represents the calculation of factors of 100001 in pairs:

Factor Pair Pair Factorization
1 and 100001 1 x 100001 = 100001
11 and 9091 11 x 9091 = 100001

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 100001. They are called negative pair factors.

Hence, the negative pairs of 100001 would be ( -1 , -100001 ) , ( -11 , -9091 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 11, 9091, 100001 are exact divisors of 100001.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 100001 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 100001.

Frequently Asked Questions

  • What two numbers make 100001?

    Two numbers that make 100001 are 11 and 9091.

  • What is prime factorization of 100001?

    Prime factorization of 100001 is 11 x 9091.

  • Write some multiples of 100001?

    First five multiples of 100001 are 200002, 300003, 400004, 500005.

  • Which is the smallest prime factor of 100001?

    The smallest prime factor of 100001 is 11.

  • Is 100001 a perfect square?

    No 100001 is not a perfect square.

  • What is the sum of all factors of 100001?

    The sum of all factors of 100001 is 109104.

  • What are factors of 100001?

    Factors of 100001 are 1, 11, 9091, 100001.

  • How do you find factors of a negative number? ( eg. -100001 )?

    Factors of -100001 are -1, -11, -9091, -100001.

  • Is 100001 a whole number?

    Yes 100001 is a whole number.

Examples of Factors

Joy wants to calculate mean of all the factors of 100001. Help him in finding the mean of 100001.

Factors of 100001 are 1, 11, 9091, 100001.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 100001 is 1 + 11 + 9091 + 100001 = 109104.
Hence, the mean of factors of 100001 is 109104 ÷ 4 = 27276.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 100001? Help her in writing all the factors.

Positive factors are 1, 11, 9091, 100001.
Negative factors are -1, -11, -9091, -100001.

Joey wants to write all the prime factors of 100001 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 100001 are 11, 9091.
So in exponential form it can be written as 11 x 9091.

Kevin has been asked to write 3 factor(s) of 100001. Can you predict the answer?

3 factor(s) of 100001 are 1, 11, 9091.

Sammy is puzzled while calculating the prime factors of 100001. Can you help him find them?

Factors of 100001 are 1, 11, 9091, 100001.
Prime factors of 100001 are 11, 9091

What is prime factorization of 100001?

Prime factorization of 100001 is 11 x 9091 = 11 x 9091.

Can you help Rubel to find out the product of the even factors of 100001?

Factors of 100001 are 1, 11, 9091, 100001.
Even factors of 100001 are 0.
Hence, product of even factors of 100001 is; 0 = 0.