Factors of 1000001

The numbers that divide 1000001 evenly are known as factors of 1000001. A factor of 1000001 is a number that divides the number without remainder. The factors of 1000001 are 1, 101, 9901, and 1000001.

Negative factors of 1000001: -1, -101, -9901, and -1000001.

Prime factors of 1000001: 101 and 9901.

Prime factorization of 1000001: 101 × 9901.

The sum of factors of 1000001: 1 + 101 + 9901 + 1000001 = 1010004

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1000001. Identifying the numbers which are multiplied to get the number 1000001 is the multiplication method.

Step 1: Multiply 1000001 by 1, 1000001 × 1 = 1000001.

Step 2: Check for other numbers that give 1000001 after multiplying 101 × 9901 = 1000001

Therefore, the positive factor pairs of 1000001 are: (1, 1000001) and (101, 9901). All these factor pairs result in 1000001. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1000001 by 1, 1000001 ÷ 1 = 1000001.

Step 2: Continue dividing 1000001 by the numbers until the remainder becomes 0.

1000001 ÷ 1 = 1000001

1000001 ÷ 101 = 9901

1000001 ÷ 9901 = 101

Therefore, the factors of 1000001 are: 1, 101, 9901, and 1000001.

The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 1000001 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1000001 ÷ 101 = 9901

9901 ÷ 9901 = 1

The prime factors of 1000001 are 101 and 9901. The prime factorization of 1000001 is: 101 × 9901.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 1000001 is divided by 101 to get 9901.

Step 2: Now divide 9901 by 9901 to get 1. Here, 9901 is the smallest prime number, and it cannot be divided anymore. So, the prime factorization of 1000001 is: 101 × 9901.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 1000001: (1, 1000001), (101, 9901).

• Negative factor pairs of 1000001: (-1, -1000001), (-101, -9901).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1000001 are 1, 101, 9901, and 1000001.

• Prime factors: The factors which are prime numbers. For example, 101 and 9901 are prime factors of 1000001.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1000001 are (1, 1000001) and (101, 9901).

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1000001 is 101 × 9901.

• Negative factors: Factors that are negative integers. For example, -1, -101, -9901, and -1000001 are negative factors of 1000001.