# Factors of 380

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380

#### How to find factors of a number

 1.   Find factors of 380 using Division Method 2.   Find factors of 380 using Prime Factorization 3.   Find factors of 380 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 380

• Divide 380 by 1: 380 ÷ 1 : Remainder = 0
• Divide 380 by 2: 380 ÷ 2 : Remainder = 0
• Divide 380 by 4: 380 ÷ 4 : Remainder = 0
• Divide 380 by 5: 380 ÷ 5 : Remainder = 0
• Divide 380 by 10: 380 ÷ 10 : Remainder = 0
• Divide 380 by 19: 380 ÷ 19 : Remainder = 0
• Divide 380 by 20: 380 ÷ 20 : Remainder = 0
• Divide 380 by 38: 380 ÷ 38 : Remainder = 0
• Divide 380 by 76: 380 ÷ 76 : Remainder = 0
• Divide 380 by 95: 380 ÷ 95 : Remainder = 0
• Divide 380 by 190: 380 ÷ 190 : Remainder = 0
• Divide 380 by 380: 380 ÷ 380 : Remainder = 0

Hence, Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380

#### 2. Steps to find factors of 380 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 380 using the division method, follow these steps:

• Step 1. Start dividing 380 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 380, which is 2. Divide 380 by 2 to obtain the quotient (190).
380 ÷ 2 = 190
• Step 3. Repeat step 1 with the obtained quotient (190).
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 380 is, 380 = 2 x 2 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 380 as shown below:

So, the prime factorization of 380 is, 380 = 2 x 2 x 5 x 19.

#### 3. Find factors of 380 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 380 would be the two numbers which, when multiplied, give 380 as the result.

The following table represents the calculation of factors of 380 in pairs:

Factor Pair Pair Factorization
1 and 380 1 x 380 = 380
2 and 190 2 x 190 = 380
4 and 95 4 x 95 = 380
5 and 76 5 x 76 = 380
10 and 38 10 x 38 = 380
19 and 20 19 x 20 = 380

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 380. They are called negative pair factors.

Hence, the negative pairs of 380 would be ( -1 , -380 ) , ( -2 , -190 ) , ( -4 , -95 ) , ( -5 , -76 ) , ( -10 , -38 ) and ( -19 , -20 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 380 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 380.
• Every number is a factor of zero (0), since 380 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, 5, 10, 19, 20, 38, 76, 95, 190, 380 are exact divisors of 380.
• Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. Each factor divides 380 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380 are all less than or equal to 380.

• What two numbers make 380?

Two numbers that make 380 are 2 and 190.

• What is prime factorization of 380?

Prime factorization of 380 is 2 x 2 x 5 x 19.

• Write some multiples of 380?

First five multiples of 380 are 760, 1140, 1520, 1900.

• Which is the smallest prime factor of 380?

The smallest prime factor of 380 is 2.

• Is 380 a perfect square?

No 380 is not a perfect square.

• What is the sum of all factors of 380?

The sum of all factors of 380 is 840.

• What are factors of 380?

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.

• How do you find factors of a negative number? ( eg. -380 )?

Factors of -380 are -1, -2, -4, -5, -10, -19, -20, -38, -76, -95, -190, -380.

• Is 380 a whole number?

Yes 380 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 380. Help him in finding the mean of 380.

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 380 is 1 + 2 + 4 + 5 + 10 + 19 + 20 + 38 + 76 + 95 + 190 + 380 = 840.
Hence, the mean of factors of 380 is 840 ÷ 12 = 70.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 380? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Negative factors are -1, -2, -4, -5, -10, -19, -20, -38, -76, -95, -190, -380.

Joey wants to write all the prime factors of 380 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 380 are 2, 2, 5, 19.
So in exponential form it can be written as 22 x 5 x 19.

Kevin has been asked to write 11 factor(s) of 380. Can you predict the answer?

11 factor(s) of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190.

Sammy is puzzled while calculating the prime factors of 380. Can you help him find them?

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Prime factors of 380 are 2, 2, 5, 19

What is prime factorization of 380?

Prime factorization of 380 is 2 x 2 x 5 x 19 = 22 x 5 x 19.

Can you help Rubel to find out the product of the even factors of 380?

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Even factors of 380 are 2, 4, 10, 20, 38, 76, 190, 380.
Hence, product of even factors of 380 is; 2 x 4 x 10 x 20 x 38 x 76 x 190 x 380 = 333621760000.