# Factors of 745

Factors of 745 are 1, 5, 149, and 745

#### How to find factors of a number

 1.   Find factors of 745 using Division Method 2.   Find factors of 745 using Prime Factorization 3.   Find factors of 745 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 745

• Divide 745 by 1: 745 ÷ 1 : Remainder = 0
• Divide 745 by 5: 745 ÷ 5 : Remainder = 0
• Divide 745 by 149: 745 ÷ 149 : Remainder = 0
• Divide 745 by 745: 745 ÷ 745 : Remainder = 0

Hence, Factors of 745 are 1, 5, 149, and 745

#### 2. Steps to find factors of 745 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 745 using the division method, follow these steps:

• Step 1. Start dividing 745 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 745, which is 5. Divide 745 by 5 to obtain the quotient (149).
745 ÷ 5 = 149
• Step 3. Repeat step 1 with the obtained quotient (149).
149 ÷ 149 = 1

So, the prime factorization of 745 is, 745 = 5 x 149.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 745 as shown below:

So, the prime factorization of 745 is, 745 = 5 x 149.

#### 3. Find factors of 745 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 745 would be the two numbers which, when multiplied, give 745 as the result.

The following table represents the calculation of factors of 745 in pairs:

Factor Pair Pair Factorization
1 and 745 1 x 745 = 745
5 and 149 5 x 149 = 745

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 745. They are called negative pair factors.

Hence, the negative pairs of 745 would be ( -1 , -745 ) , ( -5 , -149 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a 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, 5, 149, 745 are exact divisors of 745.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 745 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 745.

• Which is the smallest prime factor of 745?

The smallest prime factor of 745 is 5.

• Is 745 a whole number?

Yes 745 is a whole number.

• What are the prime factors of 745?

The factors of 745 are 1, 5, 149, 745.
Prime factors of 745 are 5, 149.

• What two numbers make 745?

Two numbers that make 745 are 5 and 149.

• What are multiples of 745?

First five multiples of 745 are 1490, 2235, 2980, 3725.

• What is the sum of all factors of 745?

The sum of all factors of 745 is 900.

• What are five multiples of 745?

First five multiples of 745 are 1490, 2235, 2980, 3725, 4470.

• Is 745 a perfect square?

No 745 is not a perfect square.

• What is the greatest prime factors of 745?

The greatest prime factor of 745 is 149.

#### Examples of Factors

How many factors are there for 745?

Factors of 745 are 1, 5, 149, 745.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 745. Can you predict the answer?

3 factor(s) of 745 are 1, 5, 149.

Sammy is puzzled while calculating the prime factors of 745. Can you help him find them?

Factors of 745 are 1, 5, 149, 745.
Prime factors of 745 are 5, 149

What is prime factorization of 745?

Prime factorization of 745 is 5 x 149 = 5 x 149.

Ariel has been assigned the task to find the product of all the prime factors of 745. Can you help her?

Prime factors of 745 are 5, 149.
Hence, the product of prime factors of 745.

Can you help Rubel to find out the product of the even factors of 745?

Factors of 745 are 1, 5, 149, 745.
Even factors of 745 are 0.
Hence, product of even factors of 745 is; 0 = 0.

Joy wants to calculate mean of all the factors of 745. Help him in finding the mean of 745.

Factors of 745 are 1, 5, 149, 745.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 745 is 1 + 5 + 149 + 745 = 900.
Hence, the mean of factors of 745 is 900 ÷ 4 = 225.00.