# Factors of 973

Factors of 973 are 1, 7, 139, and 973

#### How to find factors of a number

 1.   Find factors of 973 using Division Method 2.   Find factors of 973 using Prime Factorization 3.   Find factors of 973 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 973

• Divide 973 by 1: 973 ÷ 1 : Remainder = 0
• Divide 973 by 7: 973 ÷ 7 : Remainder = 0
• Divide 973 by 139: 973 ÷ 139 : Remainder = 0
• Divide 973 by 973: 973 ÷ 973 : Remainder = 0

Hence, Factors of 973 are 1, 7, 139, and 973

#### 2. Steps to find factors of 973 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 973 using the division method, follow these steps:

• Step 1. Start dividing 973 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 973, which is 7. Divide 973 by 7 to obtain the quotient (139).
973 ÷ 7 = 139
• Step 3. Repeat step 1 with the obtained quotient (139).
139 ÷ 139 = 1

So, the prime factorization of 973 is, 973 = 7 x 139.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 973 as shown below:

So, the prime factorization of 973 is, 973 = 7 x 139.

#### 3. Find factors of 973 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 973 would be the two numbers which, when multiplied, give 973 as the result.

The following table represents the calculation of factors of 973 in pairs:

Factor Pair Pair Factorization
1 and 973 1 x 973 = 973
7 and 139 7 x 139 = 973

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 973. They are called negative pair factors.

Hence, the negative pairs of 973 would be ( -1 , -973 ) , ( -7 , -139 ) .

#### 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, 7, 139, 973 are exact divisors of 973.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 973 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 973.

• What are the prime factors of 973?

The factors of 973 are 1, 7, 139, 973.
Prime factors of 973 are 7, 139.

• What is the sum of all factors of 973?

The sum of all factors of 973 is 1120.

• What are the pair factors of 973?

Pair factors of 973 are (1,973), (7,139).

• What two numbers make 973?

Two numbers that make 973 are 7 and 139.

• What are multiples of 973?

First five multiples of 973 are 1946, 2919, 3892, 4865.

• Is 973 a perfect square?

No 973 is not a perfect square.

• Which is greatest factor of 973?

The greatest factor of 973 is 139.

• How do you factors of 973?

Factors of 973 are 1, 7, 139, 973.

• What are five multiples of 973?

First five multiples of 973 are 1946, 2919, 3892, 4865, 5838.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 973?

Factors of 973 are 1, 7, 139, 973.
Even factors of 973 are 0.
Hence, product of even factors of 973 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 973? Help her in writing all the factors.

Positive factors are 1, 7, 139, 973.
Negative factors are -1, -7, -139, -973.

How many factors are there for 973?

Factors of 973 are 1, 7, 139, 973.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 973. Can you help him find them?

Factors of 973 are 1, 7, 139, 973.
Prime factors of 973 are 7, 139

Joey wants to write all the prime factors of 973 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 973 are 7, 139.
So in exponential form it can be written as 7 x 139.

What is prime factorization of 973?

Prime factorization of 973 is 7 x 139 = 7 x 139.

Can you help Rubel to find out the product of the even factors of 973?

Factors of 973 are 1, 7, 139, 973.
Even factors of 973 are 0.
Hence, product of even factors of 973 is; 0 = 0.