# Factors of 388

Factors of 388 are 1, 2, 4, 97, 194, and 388

#### How to find factors of a number

 1.   Find factors of 388 using Division Method 2.   Find factors of 388 using Prime Factorization 3.   Find factors of 388 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 388

• Divide 388 by 1: 388 ÷ 1 : Remainder = 0
• Divide 388 by 2: 388 ÷ 2 : Remainder = 0
• Divide 388 by 4: 388 ÷ 4 : Remainder = 0
• Divide 388 by 97: 388 ÷ 97 : Remainder = 0
• Divide 388 by 194: 388 ÷ 194 : Remainder = 0
• Divide 388 by 388: 388 ÷ 388 : Remainder = 0

Hence, Factors of 388 are 1, 2, 4, 97, 194, and 388

#### 2. Steps to find factors of 388 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 388 using the division method, follow these steps:

• Step 1. Start dividing 388 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 388, which is 2. Divide 388 by 2 to obtain the quotient (194).
388 ÷ 2 = 194
• Step 3. Repeat step 1 with the obtained quotient (194).
194 ÷ 2 = 97
97 ÷ 97 = 1

So, the prime factorization of 388 is, 388 = 2 x 2 x 97.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 388 as shown below:

So, the prime factorization of 388 is, 388 = 2 x 2 x 97.

#### 3. Find factors of 388 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 388 would be the two numbers which, when multiplied, give 388 as the result.

The following table represents the calculation of factors of 388 in pairs:

Factor Pair Pair Factorization
1 and 388 1 x 388 = 388
2 and 194 2 x 194 = 388
4 and 97 4 x 97 = 388

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 388. They are called negative pair factors.

Hence, the negative pairs of 388 would be ( -1 , -388 ) , ( -2 , -194 ) and ( -4 , -97 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 388 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 388.
• Every number is a factor of zero (0), since 388 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 97, 194, 388 are exact divisors of 388.
• Factors of 388 are 1, 2, 4, 97, 194, 388. Each factor divides 388 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 97, 194, 388 are all less than or equal to 388.

• What are the prime factors of 388?

The factors of 388 are 1, 2, 4, 97, 194, 388.
Prime factors of 388 are 2, 2, 97.

• What is the sum of all factors of 388?

The sum of all factors of 388 is 686.

• What are the pair factors of 388?

Pair factors of 388 are (1,388), (2,194), (4,97).

• What two numbers make 388?

Two numbers that make 388 are 2 and 194.

• What are multiples of 388?

First five multiples of 388 are 776, 1164, 1552, 1940.

• Is 388 a perfect square?

No 388 is not a perfect square.

• Which is greatest factor of 388?

The greatest factor of 388 is 194.

• How do you factors of 388?

Factors of 388 are 1, 2, 4, 97, 194, 388.

• What are five multiples of 388?

First five multiples of 388 are 776, 1164, 1552, 1940, 2328.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 388?

Factors of 388 are 1, 2, 4, 97, 194, 388.
Even factors of 388 are 2, 4, 194, 388.
Hence, product of even factors of 388 is; 2 x 4 x 194 x 388 = 602176.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 388? Help her in writing all the factors.

Positive factors are 1, 2, 4, 97, 194, 388.
Negative factors are -1, -2, -4, -97, -194, -388.

How many factors are there for 388?

Factors of 388 are 1, 2, 4, 97, 194, 388.
So there are in total 6 factors.

Sammy is puzzled while calculating the prime factors of 388. Can you help him find them?

Factors of 388 are 1, 2, 4, 97, 194, 388.
Prime factors of 388 are 2, 2, 97

Joey wants to write all the prime factors of 388 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 388 are 2, 2, 97.
So in exponential form it can be written as 22 x 97.

What is prime factorization of 388?

Prime factorization of 388 is 2 x 2 x 97 = 22 x 97.

Can you help Rubel to find out the product of the even factors of 388?

Factors of 388 are 1, 2, 4, 97, 194, 388.
Even factors of 388 are 2, 4, 194, 388.
Hence, product of even factors of 388 is; 2 x 4 x 194 x 388 = 602176.