Factors of 368

The factors of 368 are the numbers that divide 368 evenly.

Positive Factors: These are the positive numbers that divide 368 evenly.

Positive factors are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368.

Negative Factors: These are negative counterparts of the positive factors.

Negative factors are -1, -2, -4, -8,-16, -23, -46, -92, -184, -368

Prime Factors: Prime factors are the prime numbers themselves, which, when multiplied together, give 368 as the product.

Prime factors: 2, 46

Prime Factorization: Prime factorization involves breaking 368 into its prime factors.

It is expressed as 2⁴ × 23
 

Table listing the factors of 368

This breakdown helps in understanding the various factors of 368, whether they are positive or negative, as well as how prime factorization works for this number.

There are different methods to find the factors of 368.

Methods to find the factors of 368:

1. Multiplication Method
2. Division Method
3. Prime Factor and Prime Factorization
4. Factor Tree

The multiplication method finds the pair of factors that give 368 as their product.

Step 1: Find the pair of numbers whose product is 368.

Step 2: The factors are those numbers which, when multiplied, give 368.

Step 3: Make a list of numbers whose product will be 368.

A list of numbers whose products are 368 is given below:

• 1 × 368 = 368
• 2 × 184 = 368
• 4 × 92 = 368
• 8 × 46 = 368

Thus, the factors of 368 are 1, 2, 4, 8, 46, 92, 184, and 368.

The division method finds the numbers that fully divide the given number. The steps are given below:

Step 1: Since every number is divisible by 1, 1 will always be a factor.

Example: 368 ÷ 1 = 368

Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.

Thus, the factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368.

Multiplying prime numbers to get the given number as their product is called prime factors. A number when it is simplified using the factors of that number and is expressed in the form of prime factors is the prime factorization of a number.

Prime Factors of 368: The number 368 has two prime factors.
Prime factors of 368: 2, 23

To find the prime factors of 368, we can divide 368 with the prime numbers from the list of factors of 368.

Step 1: Divide 368 with the prime number 2 368 ÷ 2 = 184

Step 2: Divide 184 with the prime number 2 184 ÷ 2 = 92

Step 3: Continue dividing by 2 until it cannot be divided further. 92 ÷ 2 = 46 46 ÷ 2 = 23 (23 is a prime number)

Prime Factorization of 368: Prime Factorization breaks down the prime factors of 368.

Expressed as 2⁴ × 23

The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.

This tree shows the breakdown of 368 into its prime factors: 2 × 23

Positive and Negative Factor Pairs of 368

Factors of 368 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

Positive Factor Pairs: (1, 368), (2, 184), (4, 92), (8, 46)

Negative Factor Pairs: (-1, -368), (-2, -184), (-4, -92), (-8, -46)

• Factor: A number that divides another number completely without leaving a remainder.

• Negative Factors: Negative counterparts of positive factors, which also divide the number completely.

• Prime Factors: Prime numbers that, when multiplied together, produce the given number.

• Prime Factorization: The process of expressing a number as a product of its prime factors.

• Perfect Square: A factor that is the square of an integer.