# Factors of 376

Factors of 376 are 1, 2, 4, 8, 47, 94, 188, and 376

#### How to find factors of a number

 1.   Find factors of 376 using Division Method 2.   Find factors of 376 using Prime Factorization 3.   Find factors of 376 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 376

• Divide 376 by 1: 376 ÷ 1 : Remainder = 0
• Divide 376 by 2: 376 ÷ 2 : Remainder = 0
• Divide 376 by 4: 376 ÷ 4 : Remainder = 0
• Divide 376 by 8: 376 ÷ 8 : Remainder = 0
• Divide 376 by 47: 376 ÷ 47 : Remainder = 0
• Divide 376 by 94: 376 ÷ 94 : Remainder = 0
• Divide 376 by 188: 376 ÷ 188 : Remainder = 0
• Divide 376 by 376: 376 ÷ 376 : Remainder = 0

Hence, Factors of 376 are 1, 2, 4, 8, 47, 94, 188, and 376

#### 2. Steps to find factors of 376 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 376 using the division method, follow these steps:

• Step 1. Start dividing 376 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 376, which is 2. Divide 376 by 2 to obtain the quotient (188).
376 ÷ 2 = 188
• Step 3. Repeat step 1 with the obtained quotient (188).
188 ÷ 2 = 94
94 ÷ 2 = 47
47 ÷ 47 = 1

So, the prime factorization of 376 is, 376 = 2 x 2 x 2 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 376 as shown below:

So, the prime factorization of 376 is, 376 = 2 x 2 x 2 x 47.

#### 3. Find factors of 376 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 376 would be the two numbers which, when multiplied, give 376 as the result.

The following table represents the calculation of factors of 376 in pairs:

Factor Pair Pair Factorization
1 and 376 1 x 376 = 376
2 and 188 2 x 188 = 376
4 and 94 4 x 94 = 376
8 and 47 8 x 47 = 376

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 376. They are called negative pair factors.

Hence, the negative pairs of 376 would be ( -1 , -376 ) , ( -2 , -188 ) , ( -4 , -94 ) and ( -8 , -47 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 376 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 376.
• Every number is a factor of zero (0), since 376 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, 8, 47, 94, 188, 376 are exact divisors of 376.
• Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. Each factor divides 376 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 47, 94, 188, 376 are all less than or equal to 376.

• Which is the smallest prime factor of 376?

The smallest prime factor of 376 is 2.

• Is 376 a whole number?

Yes 376 is a whole number.

• What are the prime factors of 376?

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
Prime factors of 376 are 2, 2, 2, 47.

• What two numbers make 376?

Two numbers that make 376 are 2 and 188.

• What are multiples of 376?

First five multiples of 376 are 752, 1128, 1504, 1880.

• What is the sum of all factors of 376?

The sum of all factors of 376 is 720.

• What are five multiples of 376?

First five multiples of 376 are 752, 1128, 1504, 1880, 2256.

• Is 376 a perfect square?

No 376 is not a perfect square.

• What is the greatest prime factors of 376?

The greatest prime factor of 376 is 47.

#### Examples of Factors

How many factors are there for 376?

Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 376. Can you predict the answer?

7 factor(s) of 376 are 1, 2, 4, 8, 47, 94, 188.

Sammy is puzzled while calculating the prime factors of 376. Can you help him find them?

Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
Prime factors of 376 are 2, 2, 2, 47

What is prime factorization of 376?

Prime factorization of 376 is 2 x 2 x 2 x 47 = 23 x 47.

Ariel has been assigned the task to find the product of all the prime factors of 376. Can you help her?

Prime factors of 376 are 2, 2, 2, 47.
Hence, the product of prime factors of 94.

Can you help Rubel to find out the product of the even factors of 376?

Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
Even factors of 376 are 2, 4, 8, 94, 188, 376.
Hence, product of even factors of 376 is; 2 x 4 x 8 x 94 x 188 x 376 = 425259008.

Joy wants to calculate mean of all the factors of 376. Help him in finding the mean of 376.

Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 376 is 1 + 2 + 4 + 8 + 47 + 94 + 188 + 376 = 720.
Hence, the mean of factors of 376 is 720 ÷ 8 = 90.00.