# Factors of 507

Factors of 507 are 1, 3, 13, 39, 169, and 507

#### How to find factors of a number

 1.   Find factors of 507 using Division Method 2.   Find factors of 507 using Prime Factorization 3.   Find factors of 507 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 507

• Divide 507 by 1: 507 ÷ 1 : Remainder = 0
• Divide 507 by 3: 507 ÷ 3 : Remainder = 0
• Divide 507 by 13: 507 ÷ 13 : Remainder = 0
• Divide 507 by 39: 507 ÷ 39 : Remainder = 0
• Divide 507 by 169: 507 ÷ 169 : Remainder = 0
• Divide 507 by 507: 507 ÷ 507 : Remainder = 0

Hence, Factors of 507 are 1, 3, 13, 39, 169, and 507

#### 2. Steps to find factors of 507 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 507 using the division method, follow these steps:

• Step 1. Start dividing 507 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 507, which is 3. Divide 507 by 3 to obtain the quotient (169).
507 ÷ 3 = 169
• Step 3. Repeat step 1 with the obtained quotient (169).
169 ÷ 13 = 13
13 ÷ 13 = 1

So, the prime factorization of 507 is, 507 = 3 x 13 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 507 as shown below:

So, the prime factorization of 507 is, 507 = 3 x 13 x 13.

#### 3. Find factors of 507 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 507 would be the two numbers which, when multiplied, give 507 as the result.

The following table represents the calculation of factors of 507 in pairs:

Factor Pair Pair Factorization
1 and 507 1 x 507 = 507
3 and 169 3 x 169 = 507
13 and 39 13 x 39 = 507

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 507. They are called negative pair factors.

Hence, the negative pairs of 507 would be ( -1 , -507 ) , ( -3 , -169 ) and ( -13 , -39 ) .

#### 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 507 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, 13, 39, 169, 507 are exact divisors of 507.
• Factors of 507 are 1, 3, 13, 39, 169, 507. Each factor divides 507 without leaving a remainder.

• What are the prime factors of 507?

The factors of 507 are 1, 3, 13, 39, 169, 507.
Prime factors of 507 are 3, 13, 13.

• What two numbers make 507?

Two numbers that make 507 are 3 and 169.

• What is the greatest prime factors of 507?

The greatest prime factor of 507 is 13.

• What are factors of 507?

Factors of 507 are 1, 3, 13, 39, 169, 507.

• How do you find factors of a negative number? ( eg. -507 )?

Factors of -507 are -1, -3, -13, -39, -169, -507.

• What are five multiples of 507?

First five multiples of 507 are 1014, 1521, 2028, 2535, 3042.

• Write some multiples of 507?

First five multiples of 507 are 1014, 1521, 2028, 2535.

• Is 507 a perfect square?

No 507 is not a perfect square.

• What two numbers make 507?

Two numbers that make 507 are 3 and 169.

#### Examples of Factors

What is prime factorization of 507?

Prime factorization of 507 is 3 x 13 x 13 = 3 x 132.

Sammy is puzzled while calculating the prime factors of 507. Can you help him find them?

Factors of 507 are 1, 3, 13, 39, 169, 507.
Prime factors of 507 are 3, 13, 13

Kevin has been asked to write 5 factor(s) of 507. Can you predict the answer?

5 factor(s) of 507 are 1, 3, 13, 39, 169.

Joey wants to write all the prime factors of 507 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 507 are 3, 13, 13.
So in exponential form it can be written as 3 x 132.

How many factors are there for 507?

Factors of 507 are 1, 3, 13, 39, 169, 507.
So there are in total 6 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 507? Help her in writing all the factors.

Positive factors are 1, 3, 13, 39, 169, 507.
Negative factors are -1, -3, -13, -39, -169, -507.

Can you help Rubel to find out the product of the even factors of 507?

Factors of 507 are 1, 3, 13, 39, 169, 507.
Even factors of 507 are 0.
Hence, product of even factors of 507 is; 0 = 0.