# Factors of 509 in pair

Factors of 509 in pair are (1, 509) ,

#### How to find factors of a number in pair

 1.   Steps to find factors of 509 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 509 in pair

Factor Pair Pair Factorization
1 and 509 1 x 509 = 509

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 509. They are called negative pair factors.

Hence, the negative pairs of 509 would be ( -1 , -509 ) , .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 509 are 1 , 509. So, factors of 509 in pair are (1,509).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 509 are exact divisors of 509.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 509 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 509.

#### Steps to find Factors of 509

• Step 1. Find all the numbers that would divide 509 without leaving any remainder. Starting with the number 1 upto 254 (half of 509). The number 1 and the number itself are always factors of the given number.
509 ÷ 1 : Remainder = 0
509 ÷ 509 : Remainder = 0

Hence, Factors of 509 are 1 and 509

• Is 509 a perfect square?

No 509 is not a perfect square.

• Write five multiples of 509.

Five multiples of 509 are 1018, 1527, 2036, 2545, 3054.

• Is there any even prime factor of 509?

No there is no even prime factor, i.e. 2, of 509.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 509 blocks in order to form a rectangle in all possible ways? For arranging 509 blocks in order to form a rectangle in all possible ways we need to find factors of 509 in pair.

Factors of 509 are 1, 509. So, factors of 509 in pair are (1,509).

Ariel has been asked to write all factor pairs of 509 but she is finding it difficult. Can you help her find out?

Factors of 509 are 1, 509. So, factors of 509 in pair are (1,509).

What are the pair factors of 509?

Factors of 509 are 1, 509. Hence, the factors of 509 in pair are (1,509).

Can you help Sammy list the factors of 509 and also find the factor pairs?

Factors of 509 are 1, 509.
Factors of 509 in pair are (1,509).

Help Diji in finding factors of 509 by Prime Factorization method and then sorting factors of 509 in pairs.

Prime factorization of 509 is 509. Factors of 509 in pair can be written as (1,509).

Write the smallest prime factor of 509.

Smallest prime factor of 509 is 509.

Write the largest prime factor of 509.

Largest prime factor of 509 is 509.

Diji wants to write all the negative factors of 509. Can you help Diji in doing the same?

Negative factors of 509 are -1, -509.