# Factors of 539 in pair

Factors of 539 in pair are (1, 539) , (7, 77) and (11, 49)

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

 1.   Steps to find factors of 539 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 539 in pair

Factor Pair Pair Factorization
1 and 539 1 x 539 = 539
7 and 77 7 x 77 = 539
11 and 49 11 x 49 = 539

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 539. They are called negative pair factors.

Hence, the negative pairs of 539 would be ( -1 , -539 ) .

#### 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 539 are 1 , 7 , 11 , 49 , 77 , 539. So, factors of 539 in pair are (1,539), (7,77), (11,49).

#### 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 number is a factor of zero (0), since 539 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, 7, 11, 49, 77, 539 are exact divisors of 539.
• Factors of 539 are 1, 7, 11, 49, 77, 539. Each factor divides 539 without leaving a remainder.

#### Steps to find Factors of 539

• Step 1. Find all the numbers that would divide 539 without leaving any remainder. Starting with the number 1 upto 269 (half of 539). The number 1 and the number itself are always factors of the given number.
539 ÷ 1 : Remainder = 0
539 ÷ 7 : Remainder = 0
539 ÷ 11 : Remainder = 0
539 ÷ 49 : Remainder = 0
539 ÷ 77 : Remainder = 0
539 ÷ 539 : Remainder = 0

Hence, Factors of 539 are 1, 7, 11, 49, 77, and 539

• Is 539 a perfect square?

No 539 is not a perfect square.

• Write five multiples of 539.

Five multiples of 539 are 1078, 1617, 2156, 2695, 3234.

• Is there any even prime factor of 539?

No there is no even prime factor, i.e. 2, of 539.

• 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 539 blocks in order to form a rectangle in all possible ways? For arranging 539 blocks in order to form a rectangle in all possible ways we need to find factors of 539 in pair.

Factors of 539 are 1, 7, 11, 49, 77, 539. So, factors of 539 in pair are (1,539), (7,77), (11,49).

Ariel has been asked to write all factor pairs of 539 but she is finding it difficult. Can you help her find out?

Factors of 539 are 1, 7, 11, 49, 77, 539. So, factors of 539 in pair are (1,539), (7,77), (11,49).

How many total number of factors of 539 in pair are possible?

Factors of 539 are 1, 7, 11, 49, 77, 539. Hence, the factors of 539 in pair are (1,539), (7,77), (11,49). Therefore, in total 3 pairs of factors are possible.

Sammy wants to write all the negative factors of 539 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 539 are -1, -7, -11, -49, -77, -539. Hence, factors of 539 in pair are (-1,-539), (-7,-77), (-11,-49).

Help Deep in writing the positive factors of 539 in pair and negative factor of 539 in pair.

Factors of 539 are 1, 7, 11, 49, 77, 539. Positive factors of 539 in pair are (1,539), (7,77), (11,49). Negative factors of 539 in pair are (-1,-539), (-7,-77), (-11,-49).

Find the product of all factors of 539.

Factors of 539 are 1, 7, 11, 49, 77, 539. So the product of all factors of 539 would be 1 x 7 x 11 x 49 x 77 x 539 = 156590819.

Find the product of all prime factors of 539.

Factors of 539 are 1, 7, 11, 49, 77, 539. Prime factors are 7, 7, 11. So, the product of all prime factors of 539 would be 7 x 7 x 11 = 539.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 539.
- Writing all prime factors of 539.
- Writing all the possible factors of 539 in pair.
Help him in writing all these.

Positive factors of 539 are 1, 7, 11, 49, 77, 539.
Prime factors of 539 are 7, 7, 11.
Factors of 539 in pair are (1,539), (7,77), (11,49).