Factors of 38

Factors of 38 are numbers that, when multiplied in pairs give the product as 38. There are overall 4 factors of 38 among which 38 is the biggest factor and 1, 2, 19 and 38 are positive factors. The sum of all factors of 38 is 60. Its Prime Factors are 1, 2, 19, 38 and (1, 38) and (2, 19) are Pair Factors.

• Factors of 38: 1, 2, 19 and 38
• Negative Factors of 38: -1, -2, -19 and -38
• Prime Factors of 38: 2, 19
• Prime Factorization of 38: 2 × 19 = 2 × 19
• Sum of Factors of 38: 60

What Are the Factors of 38?

Before we learn about factors of 38, let us learn about factors. 

Factors of 38 are the numbers that give the value 38 when they are multiplied.

Let's learn how to calculate the factors of 38.

• Step 1: Write down the number to be factored. The number to be factored is 38.  
• Step 2: Find the two numbers whose product gives 38.

The product of the numbers whose result is 38 are 2 and 19.

Hence, the factors of 38 are 1, 2, 19 and 38.

Important Notes:

• 1 is the smallest factor of every number. Hence, 1 is a factor of 38.
• 38 is an even number; hence, 2 is one of their factors.

Explore factors using illustrations and interactive examples

• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, and 32.
• Factors of 28  - The factors of 28 are 1, 2, 4, 7, 14, and 28.
• Factors of 19 - The factors of 19 are 1 and 19.
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Let's learn about prime factorization before we learn how to find the factors of 38. 

Let's learn the process to find the factors using prime factorization.

• Step 1: Write the pair of factors which on multiplication gives the required number.
• Step 2: See whether the factors are prime or not.
• Step 3: Follow the below criterion to differentiate between the factorization procedure.

The criterion to differentiate between the procedure of factorization is given as follows:

• If both the numbers are prime, they can be multiplied as is.
• If one among them is prime and another one is composite, then the composite number is dissociated into its factors.
• If both the numbers are composite, they can be dissociated into factors.

Factors of 38 by prime factorization are given by using the following steps.

• Step 1: Write the pair of factors which on multiplication gives 38.
  38 can be factored as a product of 2 and 19.
• Step 2: Check the factors 2 and 19 to see whether each one of them is prime or not.
  2 is a prime number and can be dissociated as a product of 2 and 1.
  19 is a prime number and can be dissociated as a product of 19 and 1.
• Step 3: As per the criterion, 38 can thereby be written as 38 = 2 × 19

To learn the concept of finding factors by prime factorization better, let us take one more example.

Factors of 48

• Step 1: Write the pair of factors, which on multiplication gives the required number. 48 can be factored as a product of 6 and 8.
• Step 2: Check the factors and see whether each one of them is prime or not. 6 is not a prime number and can be dissociated as a product of 2 and 3. 8 is not a prime number and can be dissociated as the cube of 2.
• Step 3: As per the criterion, 48 can thereby be written as 48 = 6 × 8 = 2 × 3 × 2 × 2 × 2

It can also be written as 48 = 2⁴ × 3

Now that we have done the prime factorization of 38, we can multiply them and get the other factors. Can you try and find out if all the factors are covered or not? And as you may have already guessed, for prime numbers, there are no other factors.

Factors of 38 in Pairs

The pair factors of 38 can be given as below:

It is possible to have negative pair factors as well because the product of two negative numbers gives a positive number. The above factors are positive pair factors.

Let's take a look at the negative pair factors.