# Factors of 335

Factors of 335 are 1, 5, 67, and 335

#### How to find factors of a number

 1.   Find factors of 335 using Division Method 2.   Find factors of 335 using Prime Factorization 3.   Find factors of 335 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 335

• Divide 335 by 1: 335 ÷ 1 : Remainder = 0
• Divide 335 by 5: 335 ÷ 5 : Remainder = 0
• Divide 335 by 67: 335 ÷ 67 : Remainder = 0
• Divide 335 by 335: 335 ÷ 335 : Remainder = 0

Hence, Factors of 335 are 1, 5, 67, and 335

#### 2. Steps to find factors of 335 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 335 using the division method, follow these steps:

• Step 1. Start dividing 335 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 335, which is 5. Divide 335 by 5 to obtain the quotient (67).
335 ÷ 5 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
67 ÷ 67 = 1

So, the prime factorization of 335 is, 335 = 5 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 335 as shown below:

So, the prime factorization of 335 is, 335 = 5 x 67.

#### 3. Find factors of 335 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 335 would be the two numbers which, when multiplied, give 335 as the result.

The following table represents the calculation of factors of 335 in pairs:

Factor Pair Pair Factorization
1 and 335 1 x 335 = 335
5 and 67 5 x 67 = 335

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 335. They are called negative pair factors.

Hence, the negative pairs of 335 would be ( -1 , -335 ) , ( -5 , -67 ) .

#### 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 number is a factor of zero (0), since 335 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 67, 335 are exact divisors of 335.
• Factors of 335 are 1, 5, 67, 335. Each factor divides 335 without leaving a remainder.

• What two numbers make 335?

Two numbers that make 335 are 5 and 67.

• What is prime factorization of 335?

Prime factorization of 335 is 5 x 67.

• Write some multiples of 335?

First five multiples of 335 are 670, 1005, 1340, 1675.

• Which is the smallest prime factor of 335?

The smallest prime factor of 335 is 5.

• Is 335 a perfect square?

No 335 is not a perfect square.

• What is the sum of all factors of 335?

The sum of all factors of 335 is 408.

• What are factors of 335?

Factors of 335 are 1, 5, 67, 335.

• How do you find factors of a negative number? ( eg. -335 )?

Factors of -335 are -1, -5, -67, -335.

• Is 335 a whole number?

Yes 335 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 335. Help him in finding the mean of 335.

Factors of 335 are 1, 5, 67, 335.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 335 is 1 + 5 + 67 + 335 = 408.
Hence, the mean of factors of 335 is 408 ÷ 4 = 102.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 335? Help her in writing all the factors.

Positive factors are 1, 5, 67, 335.
Negative factors are -1, -5, -67, -335.

Joey wants to write all the prime factors of 335 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 335 are 5, 67.
So in exponential form it can be written as 5 x 67.

Kevin has been asked to write 3 factor(s) of 335. Can you predict the answer?

3 factor(s) of 335 are 1, 5, 67.

Sammy is puzzled while calculating the prime factors of 335. Can you help him find them?

Factors of 335 are 1, 5, 67, 335.
Prime factors of 335 are 5, 67

What is prime factorization of 335?

Prime factorization of 335 is 5 x 67 = 5 x 67.

Can you help Rubel to find out the product of the even factors of 335?

Factors of 335 are 1, 5, 67, 335.
Even factors of 335 are 0.
Hence, product of even factors of 335 is; 0 = 0.