Factors of 356

The numbers that divide 356 evenly are known as factors of 356.

A factor of 356 is a number that divides the number without a remainder.

The factors of 356 are 1, 2, 4, 89, 178, and 356.

Negative factors of 356: -1, -2, -4, -89, -178, and -356.

Prime factors of 356: 2 and 89.

Prime factorization of 356: 2² × 89.

The sum of factors of 356: 1 + 2 + 4 + 89 + 178 + 356 = 630

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

• Finding factors using multiplication
   
• Finding factors using the 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 356. Identifying the numbers which are multiplied to get the number 356 is the multiplication method.

Step 1: Multiply 356 by 1, 356 × 1 = 356.

Step 2: Check for other numbers that give 356 after multiplying 2 × 178 = 356 4 × 89 = 356

Therefore, the positive factor pairs of 356 are: (1, 356), (2, 178), and (4, 89).

All these factor pairs result in 356.

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 356 by 1, 356 ÷ 1 = 356.

Step 2: Continue dividing 356 by the numbers until the remainder becomes 0.

356 ÷ 1 = 356

356 ÷ 2 = 178

356 ÷ 4 = 89

Therefore, the factors of 356 are: 1, 2, 4, 89, 178, 356.

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

356 ÷ 2 = 178

178 ÷ 2 = 89

89 is a prime number, so it cannot be divided further.

The prime factors of 356 are 2 and 89.

The prime factorization of 356 is: 2² × 89.

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

Step 1: Firstly, 356 is divided by 2 to get 178.

Step 2: Now divide 178 by 2 to get 89.

Step 3: 89 is a prime number and cannot be divided anymore. So, the prime factorization of 356 is: 2² × 89.

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 356: (1, 356), (2, 178), (4, 89).

Negative factor pairs of 356: (-1, -356), (-2, -178), (-4, -89).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 356 are 1, 2, 4, 89, 178, and 356.
   
• Prime factors: Factors which are prime numbers. For example, 2 and 89 are prime factors of 356.
   
• 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 356 are (1, 356), (2, 178), etc.
   
• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 356 is 2² × 89.
   
• Multiplication method: A method to find factor pairs by identifying numbers that multiply to give the original number.