# Factors of 575

Factors of 575 are 1, 5, 23, 25, 115, and 575

#### How to find factors of a number

 1.   Find factors of 575 using Division Method 2.   Find factors of 575 using Prime Factorization 3.   Find factors of 575 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 575

• Divide 575 by 1: 575 ÷ 1 : Remainder = 0
• Divide 575 by 5: 575 ÷ 5 : Remainder = 0
• Divide 575 by 23: 575 ÷ 23 : Remainder = 0
• Divide 575 by 25: 575 ÷ 25 : Remainder = 0
• Divide 575 by 115: 575 ÷ 115 : Remainder = 0
• Divide 575 by 575: 575 ÷ 575 : Remainder = 0

Hence, Factors of 575 are 1, 5, 23, 25, 115, and 575

#### 2. Steps to find factors of 575 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 575 using the division method, follow these steps:

• Step 1. Start dividing 575 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 575, which is 5. Divide 575 by 5 to obtain the quotient (115).
575 ÷ 5 = 115
• Step 3. Repeat step 1 with the obtained quotient (115).
115 ÷ 5 = 23
23 ÷ 23 = 1

So, the prime factorization of 575 is, 575 = 5 x 5 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 575 as shown below:

So, the prime factorization of 575 is, 575 = 5 x 5 x 23.

#### 3. Find factors of 575 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 575 would be the two numbers which, when multiplied, give 575 as the result.

The following table represents the calculation of factors of 575 in pairs:

Factor Pair Pair Factorization
1 and 575 1 x 575 = 575
5 and 115 5 x 115 = 575
23 and 25 23 x 25 = 575

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 575. They are called negative pair factors.

Hence, the negative pairs of 575 would be ( -1 , -575 ) , ( -5 , -115 ) and ( -23 , -25 ) .

#### 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 575 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, 23, 25, 115, 575 are exact divisors of 575.
• Factors of 575 are 1, 5, 23, 25, 115, 575. Each factor divides 575 without leaving a remainder.

• What is prime factorization of 575?

Prime factorization of 575 is 5 x 5 x 23.

• How do you find factors of a negative number? ( eg. -575 )?

Factors of -575 are -1, -5, -23, -25, -115, -575.

• What are the prime factors of 575?

The factors of 575 are 1, 5, 23, 25, 115, 575.
Prime factors of 575 are 5, 5, 23.

• What are pair factors of 575?

The pair factors of 575 are (1,575), (5,115), (23,25).

• What is the greatest prime factors of 575?

The greatest prime factor of 575 is 23.

• What are six multiples of 575?

First five multiples of 575 are 1150, 1725, 2300, 2875, 3450, 4025.

• What are factors of 575?

Factors of 575 are 1, 5, 23, 25, 115, 575.

• Which is the smallest prime factor of 575?

Smallest prime factor of 575 is 5.

• Is 575 a whole number?

Yes 575 is a whole number.

#### Examples of Factors

Kevin has been asked to write 5 factor(s) of 575. Can you predict the answer?

5 factor(s) of 575 are 1, 5, 23, 25, 115.

Sammy is puzzled while calculating the prime factors of 575. Can you help him find them?

Factors of 575 are 1, 5, 23, 25, 115, 575.
Prime factors of 575 are 5, 5, 23

What is prime factorization of 575?

Prime factorization of 575 is 5 x 5 x 23 = 52 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 575. Can you help her?

Prime factors of 575 are 5, 5, 23.
Hence, the product of prime factors of 115.

Can you help Rubel to find out the product of the even factors of 575?

Factors of 575 are 1, 5, 23, 25, 115, 575.
Even factors of 575 are 0.
Hence, product of even factors of 575 is; 0 = 0.

Joy wants to calculate mean of all the factors of 575. Help him in finding the mean of 575.

Factors of 575 are 1, 5, 23, 25, 115, 575.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 575 is 1 + 5 + 23 + 25 + 115 + 575 = 744.
Hence, the mean of factors of 575 is 744 ÷ 6 = 124.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 575? Help her in writing all the factors.

Positive factors are 1, 5, 23, 25, 115, 575.
Negative factors are -1, -5, -23, -25, -115, -575.