Factors of 1376

The numbers that divide 1376 evenly are known as factors of 1376.

A factor of 1376 is a number that divides the number without remainder.

The factors of 1376 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.

Negative factors of 1376: -1, -2, -4, -8, -16, -43, -86, -172, -344, -688, and -1376.

Prime factors of 1376: 2 and 43.

Prime factorization of 1376: 2⁴ × 43.

The sum of factors of 1376: 1 + 2 + 4 + 8 + 16 + 43 + 86 + 172 + 344 + 688 + 1376 = 2740

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 1376. Identifying the numbers which are multiplied to get the number 1376 is the multiplication method.

Step 1: Multiply 1376 by 1, 1376 × 1 = 1376.

Step 2: Check for other numbers that give 1376 after multiplying

2 × 688 = 1376

4 × 344 = 1376

8 × 172 = 1376

16 × 86 = 1376

Therefore, the positive factor pairs of 1376 are: (1, 1376), (2, 688), (4, 344), (8, 172), (16, 86), and (43, 32).

All these factor pairs result in 1376.

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 1376 by 1, 1376 ÷ 1 = 1376.

Step 2: Continue dividing 1376 by the numbers until the remainder becomes 0.

1376 ÷ 1 = 1376

1376 ÷ 2 = 688

1376 ÷ 4 = 344

1376 ÷ 8 = 172

1376 ÷ 16 = 86

Therefore, the factors of 1376 are: 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.

The factors can be found by dividing it with a 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 1376 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1376 ÷ 2 = 688

688 ÷ 2 = 344

344 ÷ 2 = 172

172 ÷ 2 = 86

86 ÷ 43 = 2

43 ÷ 43 = 1

The prime factors of 1376 are 2 and 43.

The prime factorization of 1376 is: 2⁴ × 43.

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

Step 1: Firstly, 1376 is divided by 2 to get 688.

Step 2: Now divide 688 by 2 to get 344.

Step 3: Then divide 344 by 2 to get 172.

Step 4: Divide 172 by 2 to get 86. Step 5: Divide 86 by 43 to get 2. Here, 43 is a prime number, that cannot be divided anymore.

So, the prime factorization of 1376 is: 2⁴ × 43.

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 1376: (1, 1376), (2, 688), (4, 344), (8, 172), (16, 86), and (43, 32).

Negative factor pairs of 1376: (-1, -1376), (-2, -688), (-4, -344), (-8, -172), (-16, -86), and (-43, -32).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1376 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688, and 1376.

• Prime factors: The factors which are prime numbers. For example, 2 and 43 are prime factors of 1376.

• 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 1376 are (1, 1376), (2, 688), etc.

• Prime factorization: The expression of a number as a product of its prime factors. For 1376, it is 2⁴ × 43.

• Multiplication method: A method used to find factor pairs by identifying numbers that multiply to give the original number.