# Factors of 355

Factors of 355 are 1, 5, 71, and 355

#### How to find factors of a number

 1.   Find factors of 355 using Division Method 2.   Find factors of 355 using Prime Factorization 3.   Find factors of 355 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 355

• Divide 355 by 1: 355 ÷ 1 : Remainder = 0
• Divide 355 by 5: 355 ÷ 5 : Remainder = 0
• Divide 355 by 71: 355 ÷ 71 : Remainder = 0
• Divide 355 by 355: 355 ÷ 355 : Remainder = 0

Hence, Factors of 355 are 1, 5, 71, and 355

#### 2. Steps to find factors of 355 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 355 using the division method, follow these steps:

• Step 1. Start dividing 355 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 355, which is 5. Divide 355 by 5 to obtain the quotient (71).
355 ÷ 5 = 71
• Step 3. Repeat step 1 with the obtained quotient (71).
71 ÷ 71 = 1

So, the prime factorization of 355 is, 355 = 5 x 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 355 as shown below:

So, the prime factorization of 355 is, 355 = 5 x 71.

#### 3. Find factors of 355 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 355 would be the two numbers which, when multiplied, give 355 as the result.

The following table represents the calculation of factors of 355 in pairs:

Factor Pair Pair Factorization
1 and 355 1 x 355 = 355
5 and 71 5 x 71 = 355

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 355. They are called negative pair factors.

Hence, the negative pairs of 355 would be ( -1 , -355 ) , ( -5 , -71 ) .

#### 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 355 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, 71, 355 are exact divisors of 355.
• Factors of 355 are 1, 5, 71, 355. Each factor divides 355 without leaving a remainder.

• Is 355 a perfect square?

No 355 is not a perfect square.

• What are factors of 355?

Factors of 355 are 1, 5, 71, 355.

• Which is greatest factor of 355?

The greatest factor of 355 is 71.

• What is the sum of all factors of 355?

The sum of all factors of 355 is 432.

• What are multiples of 355?

First five multiples of 355 are 710, 1065, 1420, 1775.

• What is the greatest prime factors of 355?

The greatest prime factor of 355 is 71.

• What are six multiples of 355?

First five multiples of 355 are 710, 1065, 1420, 1775, 2130, 2485.

• What is prime factorization of 355?

Prime factorization of 355 is 5 x 71.

• Is 355 a whole number?

Yes 355 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 355? Help her in writing all the factors.

Positive factors are 1, 5, 71, 355.
Negative factors are -1, -5, -71, -355.

Can you help Sammy find out the product of the odd factors of 355?

Factors of 355 are 1, 5, 71, 355.
Odd factors of 355 are 1, 5, 71, 355.
Hence product of odd factors of 355 is; 1 x 5 x 71 x 355 = 126025.

Joey wants to write all the prime factors of 355 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 355 are 5, 71.
So in exponential form it can be written as 5 x 71.

How many factors are there for 355?

Factors of 355 are 1, 5, 71, 355.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 355. Can you predict the answer?

3 factor(s) of 355 are 1, 5, 71.

Sammy is puzzled while calculating the prime factors of 355. Can you help him find them?

Factors of 355 are 1, 5, 71, 355.
Prime factors of 355 are 5, 71

What is prime factorization of 355?

Prime factorization of 355 is 5 x 71 = 5 x 71.