Factors of 899

The numbers that divide 899 evenly are known as factors of 899. A factor of 899 is a number that divides the number without remainder. The factors of 899 are 1, 29, 31, and 899.

Negative factors of 899: -1, -29, -31, and -899.

Prime factors of 899: 29 and 31.

Prime factorization of 899: 29 × 31.

The sum of factors of 899: 1 + 29 + 31 + 899 = 960

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 899. Identifying the numbers which are multiplied to get the number 899 is the multiplication method.

Step 1: Multiply 899 by 1, 899 × 1 = 899.

Step 2: Check for other numbers that give 899 after multiplying 29 × 31 = 899

Therefore, the positive factor pairs of 899 are: (1, 899) and (29, 31). 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 simple division method -

Step 1: Divide 899 by 1, 899 ÷ 1 = 899.

Step 2: Continue dividing 899 by the numbers until the remainder becomes 0.

899 ÷ 1 = 899

899 ÷ 29 = 31

899 ÷ 31 = 29

Therefore, the factors of 899 are: 1, 29, 31, and 899.

The factors can be found by dividing it with a prime number. 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 899 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

899 ÷ 29 = 31

31 ÷ 31 = 1

The prime factors of 899 are 29 and 31. The prime factorization of 899 is: 29 × 31.

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

Step 1: Firstly, 899 is divided by 29 to get 31.

Step 2: 31 is already a prime number and cannot be divided further. So, the prime factorization of 899 is: 29 × 31.

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 899: (1, 899) and (29, 31).
• Negative factor pairs of 899: (-1, -899) and (-29, -31).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 899 are 1, 29, 31, and 899.

• Prime factors: The factors which are prime numbers. For example, 29 and 31 are prime factors of 899.

• 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 899 are (1, 899) and (29, 31).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 899 is 29 × 31.

• Multiples: Numbers that can be divided by a number without leaving a remainder. For example, 899 is a multiple of 29.