# Factors of 385

Factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385

#### How to find factors of a number

 1.   Find factors of 385 using Division Method 2.   Find factors of 385 using Prime Factorization 3.   Find factors of 385 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 385

• Divide 385 by 1: 385 ÷ 1 : Remainder = 0
• Divide 385 by 5: 385 ÷ 5 : Remainder = 0
• Divide 385 by 7: 385 ÷ 7 : Remainder = 0
• Divide 385 by 11: 385 ÷ 11 : Remainder = 0
• Divide 385 by 35: 385 ÷ 35 : Remainder = 0
• Divide 385 by 55: 385 ÷ 55 : Remainder = 0
• Divide 385 by 77: 385 ÷ 77 : Remainder = 0
• Divide 385 by 385: 385 ÷ 385 : Remainder = 0

Hence, Factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385

#### 2. Steps to find factors of 385 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 385 using the division method, follow these steps:

• Step 1. Start dividing 385 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 385, which is 5. Divide 385 by 5 to obtain the quotient (77).
385 ÷ 5 = 77
• Step 3. Repeat step 1 with the obtained quotient (77).
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 385 is, 385 = 5 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 385 as shown below:

So, the prime factorization of 385 is, 385 = 5 x 7 x 11.

#### 3. Find factors of 385 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 385 would be the two numbers which, when multiplied, give 385 as the result.

The following table represents the calculation of factors of 385 in pairs:

Factor Pair Pair Factorization
1 and 385 1 x 385 = 385
5 and 77 5 x 77 = 385
7 and 55 7 x 55 = 385
11 and 35 11 x 35 = 385

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 385. They are called negative pair factors.

Hence, the negative pairs of 385 would be ( -1 , -385 ) , ( -5 , -77 ) , ( -7 , -55 ) and ( -11 , -35 ) .

#### 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, 7, 11, 35, 55, 77, 385 are exact divisors of 385.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 385 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 385.

• Which is the smallest prime factor of 385?

The smallest prime factor of 385 is 5.

• Is 385 a whole number?

Yes 385 is a whole number.

• What are the prime factors of 385?

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.
Prime factors of 385 are 5, 7, 11.

• What two numbers make 385?

Two numbers that make 385 are 5 and 77.

• What are multiples of 385?

First five multiples of 385 are 770, 1155, 1540, 1925.

• What is the sum of all factors of 385?

The sum of all factors of 385 is 576.

• What are five multiples of 385?

First five multiples of 385 are 770, 1155, 1540, 1925, 2310.

• Is 385 a perfect square?

No 385 is not a perfect square.

• What is the greatest prime factors of 385?

The greatest prime factor of 385 is 11.

#### Examples of Factors

How many factors are there for 385?

Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 385. Can you predict the answer?

7 factor(s) of 385 are 1, 5, 7, 11, 35, 55, 77.

Sammy is puzzled while calculating the prime factors of 385. Can you help him find them?

Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.
Prime factors of 385 are 5, 7, 11

What is prime factorization of 385?

Prime factorization of 385 is 5 x 7 x 11 = 5 x 7 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 385. Can you help her?

Prime factors of 385 are 5, 7, 11.
Hence, the product of prime factors of 385.

Can you help Rubel to find out the product of the even factors of 385?

Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.
Even factors of 385 are 0.
Hence, product of even factors of 385 is; 0 = 0.

Joy wants to calculate mean of all the factors of 385. Help him in finding the mean of 385.

Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 385 is 1 + 5 + 7 + 11 + 35 + 55 + 77 + 385 = 576.
Hence, the mean of factors of 385 is 576 ÷ 8 = 72.00.