# Factors of 493 in pair

Factors of 493 in pair are (1, 493) , (17, 29)

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

 1.   Steps to find factors of 493 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 493 in pair

Factor Pair Pair Factorization
1 and 493 1 x 493 = 493
17 and 29 17 x 29 = 493

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 493. They are called negative pair factors.

Hence, the negative pairs of 493 would be ( -1 , -493 ) .

#### 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 493 are 1 , 17 , 29 , 493. So, factors of 493 in pair are (1,493), (17,29).

#### 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, 17, 29, 493 are exact divisors of 493.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 493 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 493.

#### Steps to find Factors of 493

• Step 1. Find all the numbers that would divide 493 without leaving any remainder. Starting with the number 1 upto 246 (half of 493). The number 1 and the number itself are always factors of the given number.
493 ÷ 1 : Remainder = 0
493 ÷ 17 : Remainder = 0
493 ÷ 29 : Remainder = 0
493 ÷ 493 : Remainder = 0

Hence, Factors of 493 are 1, 17, 29, and 493

#### Frequently Asked Questions

• Is there any even prime factor of 493?

No there is no even prime factor, i.e. 2, of 493.

• What is the mean of all prime factors of 493?

Factors of 493 are 1 , 17 , 29 , 493. Prime factors of 493 are 17 , 29. Therefore mean of prime factors of 493 is (17 + 29) / 2 = 23.00.

• What is the mean of factors of 493?

Factors of 493 are 1 , 17 , 29 , 493. therefore mean of factors of 493 is (1 + 17 + 29 + 493) / 4 = 135.00.

• 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.

• 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 493 blocks in order to form a rectangle in all possible ways? For arranging 493 blocks in order to form a rectangle in all possible ways we need to find factors of 493 in pair.

Factors of 493 are 1, 17, 29, 493. So, factors of 493 in pair are (1,493), (17,29).

Ariel has been asked to write all factor pairs of 493 but she is finding it difficult. Can you help her find out?

Factors of 493 are 1, 17, 29, 493. So, factors of 493 in pair are (1,493), (17,29).

What are the pair factors of 493?

Factors of 493 are 1, 17, 29, 493. Hence, the factors of 493 in pair are (1,493), (17,29).

Can you help Sammy list the factors of 493 and also find the factor pairs?

Factors of 493 are 1, 17, 29, 493.
Factors of 493 in pair are (1,493), (17,29).

Help Diji in finding factors of 493 by Prime Factorization method and then sorting factors of 493 in pairs.

Prime factorization of 493 is 17 x 29. Factors of 493 in pair can be written as (1,493), (17,29).

Write the smallest prime factor of 493.

Smallest prime factor of 493 is 17.

Write the largest prime factor of 493.

Largest prime factor of 493 is 29.

Diji wants to write all the negative factors of 493. Can you help Diji in doing the same?

Negative factors of 493 are -1, -17, -29, -493.

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