# Factors of 377

Factors of 377 are 1, 13, 29, and 377

#### How to find factors of a number

 1.   Find factors of 377 using Division Method 2.   Find factors of 377 using Prime Factorization 3.   Find factors of 377 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 377

• Divide 377 by 1: 377 ÷ 1 : Remainder = 0
• Divide 377 by 13: 377 ÷ 13 : Remainder = 0
• Divide 377 by 29: 377 ÷ 29 : Remainder = 0
• Divide 377 by 377: 377 ÷ 377 : Remainder = 0

Hence, Factors of 377 are 1, 13, 29, and 377

#### 2. Steps to find factors of 377 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 377 using the division method, follow these steps:

• Step 1. Start dividing 377 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 377, which is 13. Divide 377 by 13 to obtain the quotient (29).
377 ÷ 13 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
29 ÷ 29 = 1

So, the prime factorization of 377 is, 377 = 13 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 377 as shown below:

So, the prime factorization of 377 is, 377 = 13 x 29.

#### 3. Find factors of 377 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 377 would be the two numbers which, when multiplied, give 377 as the result.

The following table represents the calculation of factors of 377 in pairs:

Factor Pair Pair Factorization
1 and 377 1 x 377 = 377
13 and 29 13 x 29 = 377

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 377. They are called negative pair factors.

Hence, the negative pairs of 377 would be ( -1 , -377 ) , ( -13 , -29 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 13, 29, 377 are exact divisors of 377.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 377 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 377.

• What is prime factorization of 377?

Prime factorization of 377 is 13 x 29.

• How do you find factors of a negative number? ( eg. -377 )?

Factors of -377 are -1, -13, -29, -377.

• What are the prime factors of 377?

The factors of 377 are 1, 13, 29, 377.
Prime factors of 377 are 13, 29.

• What are pair factors of 377?

The pair factors of 377 are (1,377), (13,29).

• What is the greatest prime factors of 377?

The greatest prime factor of 377 is 29.

• What are six multiples of 377?

First five multiples of 377 are 754, 1131, 1508, 1885, 2262, 2639.

• What are factors of 377?

Factors of 377 are 1, 13, 29, 377.

• Which is the smallest prime factor of 377?

Smallest prime factor of 377 is 13.

• Is 377 a whole number?

Yes 377 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 377. Can you predict the answer?

3 factor(s) of 377 are 1, 13, 29.

Sammy is puzzled while calculating the prime factors of 377. Can you help him find them?

Factors of 377 are 1, 13, 29, 377.
Prime factors of 377 are 13, 29

What is prime factorization of 377?

Prime factorization of 377 is 13 x 29 = 13 x 29.

Ariel has been assigned the task to find the product of all the prime factors of 377. Can you help her?

Prime factors of 377 are 13, 29.
Hence, the product of prime factors of 377.

Can you help Rubel to find out the product of the even factors of 377?

Factors of 377 are 1, 13, 29, 377.
Even factors of 377 are 0.
Hence, product of even factors of 377 is; 0 = 0.

Joy wants to calculate mean of all the factors of 377. Help him in finding the mean of 377.

Factors of 377 are 1, 13, 29, 377.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 377 is 1 + 13 + 29 + 377 = 420.
Hence, the mean of factors of 377 is 420 ÷ 4 = 105.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 377? Help her in writing all the factors.

Positive factors are 1, 13, 29, 377.
Negative factors are -1, -13, -29, -377.