# Factors of 215

Factors of 215 are 1, 5, 43, and 215

#### How to find factors of a number

 1.   Find factors of 215 using Division Method 2.   Find factors of 215 using Prime Factorization 3.   Find factors of 215 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 215

• Divide 215 by 1: 215 ÷ 1 : Remainder = 0
• Divide 215 by 5: 215 ÷ 5 : Remainder = 0
• Divide 215 by 43: 215 ÷ 43 : Remainder = 0
• Divide 215 by 215: 215 ÷ 215 : Remainder = 0

Hence, Factors of 215 are 1, 5, 43, and 215

#### 2. Steps to find factors of 215 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 215 using the division method, follow these steps:

• Step 1. Start dividing 215 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 215, which is 5. Divide 215 by 5 to obtain the quotient (43).
215 ÷ 5 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 215 is, 215 = 5 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 215 as shown below:

So, the prime factorization of 215 is, 215 = 5 x 43.

#### 3. Find factors of 215 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 215 would be the two numbers which, when multiplied, give 215 as the result.

The following table represents the calculation of factors of 215 in pairs:

Factor Pair Pair Factorization
1 and 215 1 x 215 = 215
5 and 43 5 x 43 = 215

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 215. They are called negative pair factors.

Hence, the negative pairs of 215 would be ( -1 , -215 ) , ( -5 , -43 ) .

#### 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 215 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, 43, 215 are exact divisors of 215.
• Factors of 215 are 1, 5, 43, 215. Each factor divides 215 without leaving a remainder.

• What is prime factorization of 215?

Prime factorization of 215 is 5 x 43.

• How do you find factors of a negative number? ( eg. -215 )?

Factors of -215 are -1, -5, -43, -215.

• What are the prime factors of 215?

The factors of 215 are 1, 5, 43, 215.
Prime factors of 215 are 5, 43.

• What are pair factors of 215?

The pair factors of 215 are (1,215), (5,43).

• What is the greatest prime factors of 215?

The greatest prime factor of 215 is 43.

• What are six multiples of 215?

First five multiples of 215 are 430, 645, 860, 1075, 1290, 1505.

• What are factors of 215?

Factors of 215 are 1, 5, 43, 215.

• Which is the smallest prime factor of 215?

Smallest prime factor of 215 is 5.

• Is 215 a whole number?

Yes 215 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 215. Can you predict the answer?

3 factor(s) of 215 are 1, 5, 43.

Sammy is puzzled while calculating the prime factors of 215. Can you help him find them?

Factors of 215 are 1, 5, 43, 215.
Prime factors of 215 are 5, 43

What is prime factorization of 215?

Prime factorization of 215 is 5 x 43 = 5 x 43.

Ariel has been assigned the task to find the product of all the prime factors of 215. Can you help her?

Prime factors of 215 are 5, 43.
Hence, the product of prime factors of 215.

Can you help Rubel to find out the product of the even factors of 215?

Factors of 215 are 1, 5, 43, 215.
Even factors of 215 are 0.
Hence, product of even factors of 215 is; 0 = 0.

Joy wants to calculate mean of all the factors of 215. Help him in finding the mean of 215.

Factors of 215 are 1, 5, 43, 215.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 215 is 1 + 5 + 43 + 215 = 264.
Hence, the mean of factors of 215 is 264 ÷ 4 = 66.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 215? Help her in writing all the factors.

Positive factors are 1, 5, 43, 215.
Negative factors are -1, -5, -43, -215.