# Factors of 513 in pair

Factors of 513 in pair are (1, 513) , (3, 171) , (9, 57) and (19, 27)

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

 1.   Steps to find factors of 513 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 513 in pair

Factor Pair Pair Factorization
1 and 513 1 x 513 = 513
3 and 171 3 x 171 = 513
9 and 57 9 x 57 = 513
19 and 27 19 x 27 = 513

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 513. They are called negative pair factors.

Hence, the negative pairs of 513 would be ( -1 , -513 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 513 are 1 , 3 , 9 , 19 , 27 , 57 , 171 , 513. So, factors of 513 in pair are (1,513), (3,171), (9,57), (19,27).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 19, 27, 57, 171, 513 are exact divisors of 513.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 513 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 513.

#### Steps to find Factors of 513

• Step 1. Find all the numbers that would divide 513 without leaving any remainder. Starting with the number 1 upto 256 (half of 513). The number 1 and the number itself are always factors of the given number.
513 ÷ 1 : Remainder = 0
513 ÷ 3 : Remainder = 0
513 ÷ 9 : Remainder = 0
513 ÷ 19 : Remainder = 0
513 ÷ 27 : Remainder = 0
513 ÷ 57 : Remainder = 0
513 ÷ 171 : Remainder = 0
513 ÷ 513 : Remainder = 0

Hence, Factors of 513 are 1, 3, 9, 19, 27, 57, 171, and 513

• Is 513 a composite number?

Yes 513 is a composite number.

• Is 513 a perfect square?

No 513 is not a perfect square.

• Write all odd factors of 513?

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513.
Odd factors of 513 are 1 , 3 , 9 , 19 , 27 , 57 , 171 , 513.

• What is the mean of all prime factors of 513?

Factors of 513 are 1 , 3 , 9 , 19 , 27 , 57 , 171 , 513. Prime factors of 513 are 3 , 3 , 3 , 19. Therefore mean of prime factors of 513 is (3 + 3 + 3 + 19) / 4 = 7.00.

• 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.

#### Examples of Factors

Can you help Rubel in arranging 513 blocks in order to form a rectangle in all possible ways? For arranging 513 blocks in order to form a rectangle in all possible ways we need to find factors of 513 in pair.

Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. So, factors of 513 in pair are (1,513), (3,171), (9,57), (19,27).

How many total number of factors of 513 in pair are possible?

Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. Hence, the factors of 513 in pair are (1,513), (3,171), (9,57), (19,27). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 513 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 513 are -1, -3, -9, -19, -27, -57, -171, -513. Hence, factors of 513 in pair are (-1,-513), (-3,-171), (-9,-57), (-19,-27).

Find the product of all prime factors of 513.

Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. Prime factors are 3, 3, 3, 19. So, the product of all prime factors of 513 would be 3 x 3 x 3 x 19 = 513.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 513.
- Writing all prime factors of 513.
- Writing all the possible factors of 513 in pair.
Help him in writing all these.

Positive factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513.
Prime factors of 513 are 3, 3, 3, 19.
Factors of 513 in pair are (1,513), (3,171), (9,57), (19,27).

Can you help Sammy list the factors of 513 and also find the factor pairs?

Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513.
Factors of 513 in pair are (1,513), (3,171), (9,57), (19,27).

Help Diji in finding factors of 513 by Prime Factorization method and then sorting factors of 513 in pairs.

Prime factorization of 513 is 3 x 3 x 3 x 19. Factors of 513 in pair can be written as (1,513), (3,171), (9,57), (19,27).

Write the smallest prime factor of 513.

Smallest prime factor of 513 is 3.