# Factors of 373

Factors of 373 are 1 and 373

#### How to find factors of a number

 1.   Find factors of 373 using Division Method 2.   Find factors of 373 using Prime Factorization 3.   Find factors of 373 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 373

• Divide 373 by 1: 373 ÷ 1 : Remainder = 0
• Divide 373 by 373: 373 ÷ 373 : Remainder = 0

Hence, Factors of 373 are 1 and 373

#### 2. Steps to find factors of 373 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 373 using the division method, follow these steps:

• Step 1. Start dividing 373 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 373, which is 373. Divide 373 by 373 to obtain the quotient (1).
373 ÷ 373 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 373 is, 373 = 373.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 373 as shown below:

So, the prime factorization of 373 is, 373 = 373.

#### 3. Find factors of 373 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 373 would be the two numbers which, when multiplied, give 373 as the result.

The following table represents the calculation of factors of 373 in pairs:

Factor Pair Pair Factorization
1 and 373 1 x 373 = 373

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 373. They are called negative pair factors.

Hence, the negative pairs of 373 would be ( -1 , -373 ) , .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 373 are exact divisors of 373.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 373 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 373.

• Is 373 a perfect square?

No 373 is not a perfect square.

• What are factors of 373?

Factors of 373 are 1, 373.

• Which is greatest factor of 373?

The greatest factor of 373 is 1.

• What is the sum of all factors of 373?

The sum of all factors of 373 is 374.

• What are multiples of 373?

First five multiples of 373 are 746, 1119, 1492, 1865.

• What is the greatest prime factors of 373?

The greatest prime factor of 373 is 373.

• What are six multiples of 373?

First five multiples of 373 are 746, 1119, 1492, 1865, 2238, 2611.

• What is prime factorization of 373?

Prime factorization of 373 is 373.

• Is 373 a whole number?

Yes 373 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 373? Help her in writing all the factors.

Positive factors are 1, 373.
Negative factors are -1, -373.

Can you help Sammy find out the product of the odd factors of 373?

Factors of 373 are 1, 373.
Odd factors of 373 are 1, 373.
Hence product of odd factors of 373 is; 1 x 373 = 373.

Joey wants to write all the prime factors of 373 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 373 are 373.
So in exponential form it can be written as 373.

How many factors are there for 373?

Factors of 373 are 1, 373.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 373. Can you predict the answer?

1 factor(s) of 373 is 1.

Sammy is puzzled while calculating the prime factors of 373. Can you help him find them?

Factors of 373 are 1, 373.
Prime factors of 373 are 373

What is prime factorization of 373?

Prime factorization of 373 is 373 = 373.