# Factors of 522 in pair

Factors of 522 in pair are (1, 522) , (2, 261) , (3, 174) , (6, 87) , (9, 58) and (18, 29)

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

 1.   Steps to find factors of 522 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 522 in pair

Factor Pair Pair Factorization
1 and 522 1 x 522 = 522
2 and 261 2 x 261 = 522
3 and 174 3 x 174 = 522
6 and 87 6 x 87 = 522
9 and 58 9 x 58 = 522
18 and 29 18 x 29 = 522

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 522. They are called negative pair factors.

Hence, the negative pairs of 522 would be ( -1 , -522 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 522 are 1 , 2 , 3 , 6 , 9 , 18 , 29 , 58 , 87 , 174 , 261 , 522. So, factors of 522 in pair are (1,522), (2,261), (3,174), (6,87), (9,58), (18,29).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 522 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, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522 are exact divisors of 522.
• 1 is a factor of every number. Eg. 1 is a factor of 522.
• Every number is a factor of zero (0), since 522 x 0 = 0.

#### Steps to find Factors of 522

• Step 1. Find all the numbers that would divide 522 without leaving any remainder. Starting with the number 1 upto 261 (half of 522). The number 1 and the number itself are always factors of the given number.
522 ÷ 1 : Remainder = 0
522 ÷ 2 : Remainder = 0
522 ÷ 3 : Remainder = 0
522 ÷ 6 : Remainder = 0
522 ÷ 9 : Remainder = 0
522 ÷ 18 : Remainder = 0
522 ÷ 29 : Remainder = 0
522 ÷ 58 : Remainder = 0
522 ÷ 87 : Remainder = 0
522 ÷ 174 : Remainder = 0
522 ÷ 261 : Remainder = 0
522 ÷ 522 : Remainder = 0

Hence, Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, and 522

• Is 522 a composite number?

Yes 522 is a composite number.

• Is 522 a prime number?

No 522 is not a prime number.

• What is the mean of factors of 522?

Factors of 522 are 1 , 2 , 3 , 6 , 9 , 18 , 29 , 58 , 87 , 174 , 261 , 522. therefore mean of factors of 522 is (1 + 2 + 3 + 6 + 9 + 18 + 29 + 58 + 87 + 174 + 261 + 522) / 12 = 97.50.

• 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

Ariel has been asked to write all factor pairs of 522 but she is finding it difficult. Can you help her find out?

Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. So, factors of 522 in pair are (1,522), (2,261), (3,174), (6,87), (9,58), (18,29).

Sammy wants to write all the negative factors of 522 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 522 are -1, -2, -3, -6, -9, -18, -29, -58, -87, -174, -261, -522. Hence, factors of 522 in pair are (-1,-522), (-2,-261), (-3,-174), (-6,-87), (-9,-58), (-18,-29).

Help Deep in writing the positive factors of 522 in pair and negative factor of 522 in pair.

Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. Positive factors of 522 in pair are (1,522), (2,261), (3,174), (6,87), (9,58), (18,29). Negative factors of 522 in pair are (-1,-522), (-2,-261), (-3,-174), (-6,-87), (-9,-58), (-18,-29).

Find the product of all prime factors of 522.

Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. Prime factors are 2, 3, 3, 29. So, the product of all prime factors of 522 would be 2 x 3 x 3 x 29 = 522.

Can you help Sammy list the factors of 522 and also find the factor pairs?

Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522.
Factors of 522 in pair are (1,522), (2,261), (3,174), (6,87), (9,58), (18,29).

Help Diji in finding factors of 522 by Prime Factorization method and then sorting factors of 522 in pairs.

Prime factorization of 522 is 2 x 3 x 3 x 29. Factors of 522 in pair can be written as (1,522), (2,261), (3,174), (6,87), (9,58), (18,29).

Write the smallest prime factor of 522.

Smallest prime factor of 522 is 2.

Write the largest prime factor of 522.

Largest prime factor of 522 is 29.