# Factors of 387

Factors of 387 are 1, 3, 9, 43, 129, and 387

#### How to find factors of a number

 1.   Find factors of 387 using Division Method 2.   Find factors of 387 using Prime Factorization 3.   Find factors of 387 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 387

• Divide 387 by 1: 387 ÷ 1 : Remainder = 0
• Divide 387 by 3: 387 ÷ 3 : Remainder = 0
• Divide 387 by 9: 387 ÷ 9 : Remainder = 0
• Divide 387 by 43: 387 ÷ 43 : Remainder = 0
• Divide 387 by 129: 387 ÷ 129 : Remainder = 0
• Divide 387 by 387: 387 ÷ 387 : Remainder = 0

Hence, Factors of 387 are 1, 3, 9, 43, 129, and 387

#### 2. Steps to find factors of 387 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 387 using the division method, follow these steps:

• Step 1. Start dividing 387 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 387, which is 3. Divide 387 by 3 to obtain the quotient (129).
387 ÷ 3 = 129
• Step 3. Repeat step 1 with the obtained quotient (129).
129 ÷ 3 = 43
43 ÷ 43 = 1

So, the prime factorization of 387 is, 387 = 3 x 3 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 387 as shown below:

So, the prime factorization of 387 is, 387 = 3 x 3 x 43.

#### 3. Find factors of 387 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 387 would be the two numbers which, when multiplied, give 387 as the result.

The following table represents the calculation of factors of 387 in pairs:

Factor Pair Pair Factorization
1 and 387 1 x 387 = 387
3 and 129 3 x 129 = 387
9 and 43 9 x 43 = 387

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 387. They are called negative pair factors.

Hence, the negative pairs of 387 would be ( -1 , -387 ) , ( -3 , -129 ) and ( -9 , -43 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 387 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, 9, 43, 129, 387 are exact divisors of 387.
• Factors of 387 are 1, 3, 9, 43, 129, 387. Each factor divides 387 without leaving a remainder.

• Which is the smallest prime factor of 387?

Smallest prime factor of 387 is 3.

• Is 387 a perfect square?

No 387 is not a perfect square.

• What are five multiples of 387?

First five multiples of 387 are 774, 1161, 1548, 1935, 2322.

• What is prime factorization of 387?

Prime factorization of 387 is 3 x 3 x 43.

• What are factors of 387?

Factors of 387 are 1, 3, 9, 43, 129, 387.

• How do you find factors of a negative number? ( eg. -387 )?

Factors of -387 are -1, -3, -9, -43, -129, -387.

• Is 387 a whole number?

Yes 387 is a whole number.

• Which is greatest factor of 387?

The greatest factor of 387 is 129.

• What are the prime factors of 387?

The factors of 387 are 1, 3, 9, 43, 129, 387.
Prime factors of 387 are 3, 3, 43.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 387. Can you help her?

Prime factors of 387 are 3, 3, 43.
Hence, the product of prime factors of 129.

Can you help Rubel to find out the product of the even factors of 387?

Factors of 387 are 1, 3, 9, 43, 129, 387.
Even factors of 387 are 0.
Hence, product of even factors of 387 is; 0 = 0.

Joy wants to calculate mean of all the factors of 387. Help him in finding the mean of 387.

Factors of 387 are 1, 3, 9, 43, 129, 387.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 387 is 1 + 3 + 9 + 43 + 129 + 387 = 572.
Hence, the mean of factors of 387 is 572 ÷ 6 = 95.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 387? Help her in writing all the factors.

Positive factors are 1, 3, 9, 43, 129, 387.
Negative factors are -1, -3, -9, -43, -129, -387.

How many factors are there for 387?

Factors of 387 are 1, 3, 9, 43, 129, 387.
So there are in total 6 factors.

Joey wants to write all the prime factors of 387 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 387 are 3, 3, 43.
So in exponential form it can be written as 32 x 43.

Kevin has been asked to write 5 factor(s) of 387. Can you predict the answer?

5 factor(s) of 387 are 1, 3, 9, 43, 129.