# Factors of 845

Factors of 845 are 1, 5, 13, 65, 169, and 845

#### How to find factors of a number

 1.   Find factors of 845 using Division Method 2.   Find factors of 845 using Prime Factorization 3.   Find factors of 845 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 845

• Divide 845 by 1: 845 ÷ 1 : Remainder = 0
• Divide 845 by 5: 845 ÷ 5 : Remainder = 0
• Divide 845 by 13: 845 ÷ 13 : Remainder = 0
• Divide 845 by 65: 845 ÷ 65 : Remainder = 0
• Divide 845 by 169: 845 ÷ 169 : Remainder = 0
• Divide 845 by 845: 845 ÷ 845 : Remainder = 0

Hence, Factors of 845 are 1, 5, 13, 65, 169, and 845

#### 2. Steps to find factors of 845 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 845 using the division method, follow these steps:

• Step 1. Start dividing 845 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 845, which is 5. Divide 845 by 5 to obtain the quotient (169).
845 ÷ 5 = 169
• Step 3. Repeat step 1 with the obtained quotient (169).
169 ÷ 13 = 13
13 ÷ 13 = 1

So, the prime factorization of 845 is, 845 = 5 x 13 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 845 as shown below:

So, the prime factorization of 845 is, 845 = 5 x 13 x 13.

#### 3. Find factors of 845 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 845 would be the two numbers which, when multiplied, give 845 as the result.

The following table represents the calculation of factors of 845 in pairs:

Factor Pair Pair Factorization
1 and 845 1 x 845 = 845
5 and 169 5 x 169 = 845
13 and 65 13 x 65 = 845

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 845. They are called negative pair factors.

Hence, the negative pairs of 845 would be ( -1 , -845 ) , ( -5 , -169 ) and ( -13 , -65 ) .

#### 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, 13, 65, 169, 845 are exact divisors of 845.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 845 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 845.

• What is prime factorization of 845?

Prime factorization of 845 is 5 x 13 x 13.

• How do you find factors of a negative number? ( eg. -845 )?

Factors of -845 are -1, -5, -13, -65, -169, -845.

• What are the prime factors of 845?

The factors of 845 are 1, 5, 13, 65, 169, 845.
Prime factors of 845 are 5, 13, 13.

• What are pair factors of 845?

The pair factors of 845 are (1,845), (5,169), (13,65).

• What is the greatest prime factors of 845?

The greatest prime factor of 845 is 13.

• What are six multiples of 845?

First five multiples of 845 are 1690, 2535, 3380, 4225, 5070, 5915.

• What are factors of 845?

Factors of 845 are 1, 5, 13, 65, 169, 845.

• Which is the smallest prime factor of 845?

Smallest prime factor of 845 is 5.

• Is 845 a whole number?

Yes 845 is a whole number.

#### Examples of Factors

Kevin has been asked to write 5 factor(s) of 845. Can you predict the answer?

5 factor(s) of 845 are 1, 5, 13, 65, 169.

Sammy is puzzled while calculating the prime factors of 845. Can you help him find them?

Factors of 845 are 1, 5, 13, 65, 169, 845.
Prime factors of 845 are 5, 13, 13

What is prime factorization of 845?

Prime factorization of 845 is 5 x 13 x 13 = 5 x 132.

Ariel has been assigned the task to find the product of all the prime factors of 845. Can you help her?

Prime factors of 845 are 5, 13, 13.
Hence, the product of prime factors of 65.

Can you help Rubel to find out the product of the even factors of 845?

Factors of 845 are 1, 5, 13, 65, 169, 845.
Even factors of 845 are 0.
Hence, product of even factors of 845 is; 0 = 0.

Joy wants to calculate mean of all the factors of 845. Help him in finding the mean of 845.

Factors of 845 are 1, 5, 13, 65, 169, 845.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 845 is 1 + 5 + 13 + 65 + 169 + 845 = 1098.
Hence, the mean of factors of 845 is 1098 ÷ 6 = 183.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 845? Help her in writing all the factors.

Positive factors are 1, 5, 13, 65, 169, 845.
Negative factors are -1, -5, -13, -65, -169, -845.