# Factors of 359

Factors of 359 are 1 and 359

#### How to find factors of a number

 1.   Find factors of 359 using Division Method 2.   Find factors of 359 using Prime Factorization 3.   Find factors of 359 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 359

• Divide 359 by 1: 359 ÷ 1 : Remainder = 0
• Divide 359 by 359: 359 ÷ 359 : Remainder = 0

Hence, Factors of 359 are 1 and 359

#### 2. Steps to find factors of 359 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 359 using the division method, follow these steps:

• Step 1. Start dividing 359 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 359, which is 359. Divide 359 by 359 to obtain the quotient (1).
359 ÷ 359 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 359 is, 359 = 359.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 359 as shown below:

So, the prime factorization of 359 is, 359 = 359.

#### 3. Find factors of 359 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 359 would be the two numbers which, when multiplied, give 359 as the result.

The following table represents the calculation of factors of 359 in pairs:

Factor Pair Pair Factorization
1 and 359 1 x 359 = 359

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 359. They are called negative pair factors.

Hence, the negative pairs of 359 would be ( -1 , -359 ) , .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 359 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, 359 are exact divisors of 359.
• Factors of 359 are 1, 359. Each factor divides 359 without leaving a remainder.

• What is prime factorization of 359?

Prime factorization of 359 is 359.

• How do you find factors of a negative number? ( eg. -359 )?

Factors of -359 are -1, -359.

• What are the prime factors of 359?

The factors of 359 are 1, 359.
Prime factors of 359 are 359.

• What are pair factors of 359?

The pair factors of 359 are (1,359).

• What is the greatest prime factors of 359?

The greatest prime factor of 359 is 359.

• What are six multiples of 359?

First five multiples of 359 are 718, 1077, 1436, 1795, 2154, 2513.

• What are factors of 359?

Factors of 359 are 1, 359.

• Which is the smallest prime factor of 359?

Smallest prime factor of 359 is 359.

• Is 359 a whole number?

Yes 359 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 359. Can you predict the answer?

1 factor(s) of 359 is 1.

Sammy is puzzled while calculating the prime factors of 359. Can you help him find them?

Factors of 359 are 1, 359.
Prime factors of 359 are 359

What is prime factorization of 359?

Prime factorization of 359 is 359 = 359.

Ariel has been assigned the task to find the product of all the prime factors of 359. Can you help her?

Prime factors of 359 are 359.
Hence, the product of prime factors of 359.

Can you help Rubel to find out the product of the even factors of 359?

Factors of 359 are 1, 359.
Even factors of 359 are 0.
Hence, product of even factors of 359 is; 0 = 0.

Joy wants to calculate mean of all the factors of 359. Help him in finding the mean of 359.

Factors of 359 are 1, 359.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 359 is 1 + 359 = 360.
Hence, the mean of factors of 359 is 360 ÷ 2 = 180.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 359? Help her in writing all the factors.

Positive factors are 1, 359.
Negative factors are -1, -359.