Factors of 898

The numbers that divide 898 evenly are known as factors of 898. A factor of 898 is a number that divides the number without a remainder. The factors of 898 are 1, 2, 449, and 898.

Negative factors of 898: -1, -2, -449, and -898.

Prime factors of 898: 2 and 449.

Prime factorization of 898: 2 × 449.

The sum of factors of 898: 1 + 2 + 449 + 898 = 1350

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 898. Identifying the numbers which are multiplied to get the number 898 is the multiplication method.

Step 1: Multiply 898 by 1, 898 × 1 = 898.

Step 2: Check for other numbers that give 898 after multiplying 2 × 449 = 898

Therefore, the positive factor pairs of 898 are: (1, 898) and (2, 449). All these factor pairs result in 898. 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 the division method -

Step 1: Divide 898 by 1, 898 ÷ 1 = 898.

Step 2: Continue dividing 898 by the numbers until the remainder becomes 0.

898 ÷ 1 = 898

898 ÷ 2 = 449

Therefore, the factors of 898 are: 1, 2, 449, 898.

The factors can be found by dividing it 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 898 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

898 ÷ 2 = 449

449 ÷ 449 = 1

The prime factors of 898 are 2 and 449. The prime factorization of 898 is: 2 × 449.

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

Step 1: Firstly, 898 is divided by 2 to get 449.

Step 2: Now divide 449 by 449 to get 1. Here, 449 is a prime number that cannot be divided anymore. So, the prime factorization of 898 is: 2 × 449.

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 898: (1, 898) and (2, 449).
• Negative factor pairs of 898: (-1, -898) and (-2, -449).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 898 are 1, 2, 449, and 898.

• Prime factors: The factors which are prime numbers. For example, 2 and 449 are prime factors of 898.

• 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 898 are (1, 898) and (2, 449).

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.

• Division method: A method to find factors by dividing the original number by other numbers without leaving a remainder.