# Factors of 73

Factors of 73 are 1 and 73

#### How to find factors of a number

 1.   Find factors of 73 using Division Method 2.   Find factors of 73 using Prime Factorization 3.   Find factors of 73 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 73

• Divide 73 by 1: 73 ÷ 1 : Remainder = 0
• Divide 73 by 73: 73 ÷ 73 : Remainder = 0

Hence, Factors of 73 are 1 and 73

#### 2. Steps to find factors of 73 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 73 using the division method, follow these steps:

• Step 1. Start dividing 73 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 73, which is 73. Divide 73 by 73 to obtain the quotient (1).
73 ÷ 73 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 73 is, 73 = 73.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 73 as shown below:

So, the prime factorization of 73 is, 73 = 73.

#### 3. Find factors of 73 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 73 would be the two numbers which, when multiplied, give 73 as the result.

The following table represents the calculation of factors of 73 in pairs:

Factor Pair Pair Factorization
1 and 73 1 x 73 = 73

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 73. They are called negative pair factors.

Hence, the negative pairs of 73 would be ( -1 , -73 ) , .

#### 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, 73 are exact divisors of 73.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 73 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 73.

#### Frequently Asked Questions

• What are the prime factors of 73?

The factors of 73 are 1, 73.
Prime factors of 73 are 73.

• What is the sum of all factors of 73?

The sum of all factors of 73 is 74.

• What are the pair factors of 73?

Pair factors of 73 are (1,73).

• What two numbers make 73?

Two numbers that make 73 are 73 and 1.

• What are multiples of 73?

First five multiples of 73 are 146, 219, 292, 365.

• Is 73 a perfect square?

No 73 is not a perfect square.

• Which is greatest factor of 73?

The greatest factor of 73 is 1.

• How do you factors of 73?

Factors of 73 are 1, 73.

• What are five multiples of 73?

First five multiples of 73 are 146, 219, 292, 365, 438.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 73?

Factors of 73 are 1, 73.
Even factors of 73 are 0.
Hence, product of even factors of 73 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 73? Help her in writing all the factors.

Positive factors are 1, 73.
Negative factors are -1, -73.

How many factors are there for 73?

Factors of 73 are 1, 73.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 73. Can you help him find them?

Factors of 73 are 1, 73.
Prime factors of 73 are 73

Joey wants to write all the prime factors of 73 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 73 are 73.
So in exponential form it can be written as 73.

What is prime factorization of 73?

Prime factorization of 73 is 73 = 73.

Can you help Rubel to find out the product of the even factors of 73?

Factors of 73 are 1, 73.
Even factors of 73 are 0.
Hence, product of even factors of 73 is; 0 = 0.

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