Factors of 848

The numbers that divide 848 evenly are known as factors of 848. A factor of 848 is a number that divides the number without a remainder. The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.

Negative factors of 848: -1, -2, -4, -8, -16, -53, -106, -212, -424, and -848.

Prime factors of 848: 2 and 53.

Prime factorization of 848: 2⁴ × 53.

The sum of factors of 848: 1 + 2 + 4 + 8 + 16 + 53 + 106 + 212 + 424 + 848 = 1674

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

• Finding factors using multiplication
   
• Finding factors using division method
   
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 848. Identifying the numbers which are multiplied to get the number 848 is the multiplication method.

Step 1: Multiply 848 by 1, 848 × 1 = 848.

Step 2: Check for other numbers that give 848 after multiplying

2 × 424 = 848

4 × 212 = 848

8 × 106 = 848

16 × 53 = 848

Therefore, the positive factor pairs of 848 are: (1, 848), (2, 424), (4, 212), (8, 106), (16, 53). 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 848 by 1, 848 ÷ 1 = 848.

Step 2: Continue dividing 848 by the numbers until the remainder becomes 0.

848 ÷ 1 = 848

848 ÷ 2 = 424

848 ÷ 4 = 212

848 ÷ 8 = 106

848 ÷ 16 = 53

Therefore, the factors of 848 are: 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.

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 848 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

848 ÷ 2 = 424

424 ÷ 2 = 212

212 ÷ 2 = 106

106 ÷ 2 = 53

53 ÷ 53 = 1

The prime factors of 848 are 2 and 53. The prime factorization of 848 is: 2⁴ × 53.

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

Step 1: Firstly, 848 is divided by 2 to get 424.

Step 2: Now divide 424 by 2 to get 212.

Step 3: Then divide 212 by 2 to get 106.

Step 4: Divide 106 by 2 to get 53. Here, 53 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 848 is: 2⁴ × 53.

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 848: (1, 848), (2, 424), (4, 212), (8, 106), and (16, 53).

• Negative factor pairs of 848: (-1, -848), (-2, -424), (-4, -212), (-8, -106), and (-16, -53).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.

• Prime factors: The factors which are prime numbers. For example, 2 and 53 are prime factors of 848.

• 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 848 are (1, 848), (2, 424), etc.

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 848 is 2⁴ × 53.

• Multiple: A multiple of a number is the product of that number and an integer. For example, 848 is a multiple of 8.