Factors of 374

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374.

Positive Factors: These are numbers greater than 0 that divide 374 completely.
Positive factors: 1, 2, 11, 17, 22, 34, 187, 374

Negative Factors: These are negative counterparts of the positive factors.
Negative factors: -1, -2, -11, -17, -22, -34, -187, -374

Prime Factors: Prime factors are the prime numbers themselves, which when multiplied together give 374 as the product.
Prime factors: 2, 11, 17

Prime Factorization: Prime factorization involves breaking 374 into its prime factors.
It is expressed as 2 × 11 × 17.

Table Listing the Factors of 374

This breakdown helps in understanding the various factors of 374, 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 374.

Methods to find the factors of 374:
Multiplication Method
Division Method
Prime Factorization
Factor Tree
 

The multiplication method finds the pair of factors that give 374 as their product.

Step 1: Find the pair of numbers whose product is 374.
 

Step 2: The factors are those numbers that, when multiplied, give 374.
 

Step 3: Make a list of numbers whose product will be 374.

A list of numbers whose products are 374 is given below:
1 × 374 = 374
2 × 187 = 374
11 × 34 = 374
17 × 22 = 374

Thus, the factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374.
 

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: 374 ÷ 1 = 374
 

Step 2: Move to the next integer. The factors of the number include the divisor and the quotient.

Thus, the factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374.

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

Prime Factors of 374: Number 374 has three prime factors.
Prime factors of 374: 2, 11, 17

To find the prime factors of 374, we can divide it by the prime numbers 2, 11, and 17 from the list of factors of 374:

Step 1: Divide 374 by the prime number 2.
374 ÷ 2 = 187
 

Step 2: Divide 187 by the prime number 11.
187 ÷ 11 = 17
 

Step 3: 17 is a prime number, so it stops here.

Prime Factorization of 374: Prime Factorization breaks down the prime factors of 374:
It is expressed as 2¹ × 11¹ × 17¹

The prime factorization is visually represented using the factor tree. It helps to understand the process easily.

This tree shows the breakdown of 374 into its prime factors: 2 × 11 × 17.

Positive and Negative Factor Pairs
Factors of 374 can be written in both positive pairs and negative pairs. Their product will be equal to the given number.

Positive Factor Pairs: (1, 374), (2, 187), (11, 34), (17, 22)
 

Negative Factor Pairs: (-1, -374), (-2, -187), (-11, -34), (-17, -22)
 

• Factors: Numbers that divide another number completely without leaving a remainder. Example: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374.

• Prime Factorization: The process of expressing a number as a product of its prime factors. Example: The prime factorization of 374 is 2×11×17.

• Positive Factors: Factors of a number that are greater than 0. Example: Positive factors of 374 are 1, 2, 11, 17, 22, 34, 187, and 374.

• Negative Factors: Negative counterparts of positive factors that also divide the number completely. Example: Negative factors of 374 are -1, -2, -11, -17, -22, -34, -187, and -374.

• Factor Tree: A diagram that shows the step-by-step prime factorization of a number. Example: The factor tree of 374 breaks it into 2×11×17.