# Factors of 375

Factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375

#### How to find factors of a number

 1.   Find factors of 375 using Division Method 2.   Find factors of 375 using Prime Factorization 3.   Find factors of 375 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 375

• Divide 375 by 1: 375 ÷ 1 : Remainder = 0
• Divide 375 by 3: 375 ÷ 3 : Remainder = 0
• Divide 375 by 5: 375 ÷ 5 : Remainder = 0
• Divide 375 by 15: 375 ÷ 15 : Remainder = 0
• Divide 375 by 25: 375 ÷ 25 : Remainder = 0
• Divide 375 by 75: 375 ÷ 75 : Remainder = 0
• Divide 375 by 125: 375 ÷ 125 : Remainder = 0
• Divide 375 by 375: 375 ÷ 375 : Remainder = 0

Hence, Factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375

#### 2. Steps to find factors of 375 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 375 using the division method, follow these steps:

• Step 1. Start dividing 375 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 375, which is 3. Divide 375 by 3 to obtain the quotient (125).
375 ÷ 3 = 125
• Step 3. Repeat step 1 with the obtained quotient (125).
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 375 is, 375 = 3 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 375 as shown below:

So, the prime factorization of 375 is, 375 = 3 x 5 x 5 x 5.

#### 3. Find factors of 375 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 375 would be the two numbers which, when multiplied, give 375 as the result.

The following table represents the calculation of factors of 375 in pairs:

Factor Pair Pair Factorization
1 and 375 1 x 375 = 375
3 and 125 3 x 125 = 375
5 and 75 5 x 75 = 375
15 and 25 15 x 25 = 375

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 375. They are called negative pair factors.

Hence, the negative pairs of 375 would be ( -1 , -375 ) , ( -3 , -125 ) , ( -5 , -75 ) and ( -15 , -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 375 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, 3, 5, 15, 25, 75, 125, 375 are exact divisors of 375.
• Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. Each factor divides 375 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -375 )?

Factors of -375 are -1, -3, -5, -15, -25, -75, -125, -375.

• What is the sum of all factors of 375?

The sum of all factors of 375 is 624.

• What is prime factorization of 375?

Prime factorization of 375 is 3 x 5 x 5 x 5.

• What are the pair factors of 375?

Pair factors of 375 are (1,375), (3,125), (5,75), (15,25).

• What are six multiples of 375?

First five multiples of 375 are 750, 1125, 1500, 1875, 2250, 2625.

• Is 375 a whole number?

Yes 375 is a whole number.

• Which is the smallest prime factor of 375?

Smallest prime factor of 375 is 3.

• What are five multiples of 375?

First five multiples of 375 are 750, 1125, 1500, 1875, 2250.

• Write all factors of 375?

Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.

#### Examples of Factors

Joey wants to write all the prime factors of 375 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 375 are 3, 5, 5, 5.
So in exponential form it can be written as 3 x 53.

How many factors are there for 375?

Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 375. Can you predict the answer?

7 factor(s) of 375 are 1, 3, 5, 15, 25, 75, 125.

Sammy is puzzled while calculating the prime factors of 375. Can you help him find them?

Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.
Prime factors of 375 are 3, 5, 5, 5

What is prime factorization of 375?

Prime factorization of 375 is 3 x 5 x 5 x 5 = 3 x 53.

Ariel has been assigned the task to find the product of all the prime factors of 375. Can you help her?

Prime factors of 375 are 3, 5, 5, 5.
Hence, the product of prime factors of 15.

Can you help Rubel to find out the product of the even factors of 375?

Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.
Even factors of 375 are 0.
Hence, product of even factors of 375 is; 0 = 0.