Factors of 904

The numbers that divide 904 evenly are known as factors of 904. A factor of 904 is a number that divides the number without remainder. The factors of 904 are 1, 2, 4, 8, 113, 226, 452, and 904.

Negative factors of 904: -1, -2, -4, -8, -113, -226, -452, and -904.

Prime factors of 904: 2 and 113.

Prime factorization of 904: 2³ × 113.

The sum of factors of 904: 1 + 2 + 4 + 8 + 113 + 226 + 452 + 904 = 1710

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 904. Identifying the numbers which are multiplied to get the number 904 is the multiplication method.

Step 1: Multiply 904 by 1, 904 × 1 = 904.

Step 2: Check for other numbers that give 904 after multiplying

2 × 452 = 904

4 × 226 = 904

8 × 113 = 904

Therefore, the positive factor pairs of 904 are: (1, 904), (2, 452), (4, 226), and (8, 113). All these factor pairs result in 904. For every positive factor, there is a negative factor.

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

Step 1: Divide 904 by 1, 904 ÷ 1 = 904.

Step 2: Continue dividing 904 by the numbers until the remainder becomes 0.

904 ÷ 1 = 904

904 ÷ 2 = 452

904 ÷ 4 = 226

904 ÷ 8 = 113

Therefore, the factors of 904 are: 1, 2, 4, 8, 113, 226, 452, 904.

The factors can be found by dividing them 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 904 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

904 ÷ 2 = 452

452 ÷ 2 = 226

226 ÷ 2 = 113

113 ÷ 113 = 1

The prime factors of 904 are 2 and 113. The prime factorization of 904 is: 2³ × 113.

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

Step 1: Firstly, 904 is divided by 2 to get 452.

Step 2: Now divide 452 by 2 to get 226.

Step 3: Then divide 226 by 2 to get 113.

Step 4: Here, 113 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 904 is: 2³ × 113.

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 904: (1, 904), (2, 452), (4, 226), and (8, 113).
• Negative factor pairs of 904: (-1, -904), (-2, -452), (-4, -226), and (-8, -113).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 904 are 1, 2, 4, 8, 113, 226, 452, and 904.

• Prime factors: The factors which are prime numbers. For example, 2 and 113 are prime factors of 904.

• 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 904 are (1, 904), (2, 452), etc.

• Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 904 is 2³ × 113.

• Multiple: A number that can be divided by another number without a remainder. For example, 904 is a multiple of 8.