# Factors of 737

Factors of 737 are 1, 11, 67, and 737

#### How to find factors of a number

 1.   Find factors of 737 using Division Method 2.   Find factors of 737 using Prime Factorization 3.   Find factors of 737 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 737

• Divide 737 by 1: 737 ÷ 1 : Remainder = 0
• Divide 737 by 11: 737 ÷ 11 : Remainder = 0
• Divide 737 by 67: 737 ÷ 67 : Remainder = 0
• Divide 737 by 737: 737 ÷ 737 : Remainder = 0

Hence, Factors of 737 are 1, 11, 67, and 737

#### 2. Steps to find factors of 737 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 737 using the division method, follow these steps:

• Step 1. Start dividing 737 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 737, which is 11. Divide 737 by 11 to obtain the quotient (67).
737 ÷ 11 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
67 ÷ 67 = 1

So, the prime factorization of 737 is, 737 = 11 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 737 as shown below:

So, the prime factorization of 737 is, 737 = 11 x 67.

#### 3. Find factors of 737 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 737 would be the two numbers which, when multiplied, give 737 as the result.

The following table represents the calculation of factors of 737 in pairs:

Factor Pair Pair Factorization
1 and 737 1 x 737 = 737
11 and 67 11 x 67 = 737

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 737. They are called negative pair factors.

Hence, the negative pairs of 737 would be ( -1 , -737 ) , ( -11 , -67 ) .

#### 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, 11, 67, 737 are exact divisors of 737.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 737 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 737.

• What is prime factorization of 737?

Prime factorization of 737 is 11 x 67.

• How do you find factors of a negative number? ( eg. -737 )?

Factors of -737 are -1, -11, -67, -737.

• What are the prime factors of 737?

The factors of 737 are 1, 11, 67, 737.
Prime factors of 737 are 11, 67.

• What are pair factors of 737?

The pair factors of 737 are (1,737), (11,67).

• What is the greatest prime factors of 737?

The greatest prime factor of 737 is 67.

• What are six multiples of 737?

First five multiples of 737 are 1474, 2211, 2948, 3685, 4422, 5159.

• What are factors of 737?

Factors of 737 are 1, 11, 67, 737.

• Which is the smallest prime factor of 737?

Smallest prime factor of 737 is 11.

• Is 737 a whole number?

Yes 737 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 737. Can you predict the answer?

3 factor(s) of 737 are 1, 11, 67.

Sammy is puzzled while calculating the prime factors of 737. Can you help him find them?

Factors of 737 are 1, 11, 67, 737.
Prime factors of 737 are 11, 67

What is prime factorization of 737?

Prime factorization of 737 is 11 x 67 = 11 x 67.

Ariel has been assigned the task to find the product of all the prime factors of 737. Can you help her?

Prime factors of 737 are 11, 67.
Hence, the product of prime factors of 737.

Can you help Rubel to find out the product of the even factors of 737?

Factors of 737 are 1, 11, 67, 737.
Even factors of 737 are 0.
Hence, product of even factors of 737 is; 0 = 0.

Joy wants to calculate mean of all the factors of 737. Help him in finding the mean of 737.

Factors of 737 are 1, 11, 67, 737.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 737 is 1 + 11 + 67 + 737 = 816.
Hence, the mean of factors of 737 is 816 ÷ 4 = 204.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 737? Help her in writing all the factors.

Positive factors are 1, 11, 67, 737.
Negative factors are -1, -11, -67, -737.