# Factors of 506 in pair

Factors of 506 in pair are (1, 506) , (2, 253) , (11, 46) and (22, 23)

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

 1.   Steps to find factors of 506 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 506 in pair

Factor Pair Pair Factorization
1 and 506 1 x 506 = 506
2 and 253 2 x 253 = 506
11 and 46 11 x 46 = 506
22 and 23 22 x 23 = 506

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 506. They are called negative pair factors.

Hence, the negative pairs of 506 would be ( -1 , -506 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 506 are 1 , 2 , 11 , 22 , 23 , 46 , 253 , 506. So, factors of 506 in pair are (1,506), (2,253), (11,46), (22,23).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 506 is a factor of itself.
• 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, 2, 11, 22, 23, 46, 253, 506 are exact divisors of 506.
• 1 is a factor of every number. Eg. 1 is a factor of 506.
• Every number is a factor of zero (0), since 506 x 0 = 0.

#### Steps to find Factors of 506

• Step 1. Find all the numbers that would divide 506 without leaving any remainder. Starting with the number 1 upto 253 (half of 506). The number 1 and the number itself are always factors of the given number.
506 ÷ 1 : Remainder = 0
506 ÷ 2 : Remainder = 0
506 ÷ 11 : Remainder = 0
506 ÷ 22 : Remainder = 0
506 ÷ 23 : Remainder = 0
506 ÷ 46 : Remainder = 0
506 ÷ 253 : Remainder = 0
506 ÷ 506 : Remainder = 0

Hence, Factors of 506 are 1, 2, 11, 22, 23, 46, 253, and 506

• Is 506 a composite number?

Yes 506 is a composite number.

• Is 506 a prime number?

No 506 is not a prime number.

• Is 506 a perfect square?

No 506 is not a perfect square.

• Write five multiples of 506.

Five multiples of 506 are 1012, 1518, 2024, 2530, 3036.

• Write all odd factors of 506?

The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506.
Odd factors of 506 are 1 , 11 , 23 , 253.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 506 but she is finding it difficult. Can you help her find out?

Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. So, factors of 506 in pair are (1,506), (2,253), (11,46), (22,23).

Sammy wants to write all the negative factors of 506 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 506 are -1, -2, -11, -22, -23, -46, -253, -506. Hence, factors of 506 in pair are (-1,-506), (-2,-253), (-11,-46), (-22,-23).

Help Deep in writing the positive factors of 506 in pair and negative factor of 506 in pair.

Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. Positive factors of 506 in pair are (1,506), (2,253), (11,46), (22,23). Negative factors of 506 in pair are (-1,-506), (-2,-253), (-11,-46), (-22,-23).

Find the product of all prime factors of 506.

Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. Prime factors are 2, 11, 23. So, the product of all prime factors of 506 would be 2 x 11 x 23 = 506.

Can you help Sammy list the factors of 506 and also find the factor pairs?

Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506.
Factors of 506 in pair are (1,506), (2,253), (11,46), (22,23).

Help Diji in finding factors of 506 by Prime Factorization method and then sorting factors of 506 in pairs.

Prime factorization of 506 is 2 x 11 x 23. Factors of 506 in pair can be written as (1,506), (2,253), (11,46), (22,23).

Write the smallest prime factor of 506.

Smallest prime factor of 506 is 2.

Write the largest prime factor of 506.

Largest prime factor of 506 is 23.