# Factors of 234 in pair

Factors of 234 in pair are (1, 234) , (2, 117) , (3, 78) , (6, 39) , (9, 26) and (13, 18)

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

 1.   Steps to find factors of 234 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 234 in pair

Factor Pair Pair Factorization
1 and 234 1 x 234 = 234
2 and 117 2 x 117 = 234
3 and 78 3 x 78 = 234
6 and 39 6 x 39 = 234
9 and 26 9 x 26 = 234
13 and 18 13 x 18 = 234

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 234. They are called negative pair factors.

Hence, the negative pairs of 234 would be ( -1 , -234 ) .

#### 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 234 are 1 , 2 , 3 , 6 , 9 , 13 , 18 , 26 , 39 , 78 , 117 , 234. So, factors of 234 in pair are (1,234), (2,117), (3,78), (6,39), (9,26), (13,18).

#### 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

• Each number is a factor of itself. Eg. 234 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, 13, 18, 26, 39, 78, 117, 234 are exact divisors of 234.
• 1 is a factor of every number. Eg. 1 is a factor of 234.
• Every number is a factor of zero (0), since 234 x 0 = 0.

#### Steps to find Factors of 234

• Step 1. Find all the numbers that would divide 234 without leaving any remainder. Starting with the number 1 upto 117 (half of 234). The number 1 and the number itself are always factors of the given number.
234 ÷ 1 : Remainder = 0
234 ÷ 2 : Remainder = 0
234 ÷ 3 : Remainder = 0
234 ÷ 6 : Remainder = 0
234 ÷ 9 : Remainder = 0
234 ÷ 13 : Remainder = 0
234 ÷ 18 : Remainder = 0
234 ÷ 26 : Remainder = 0
234 ÷ 39 : Remainder = 0
234 ÷ 78 : Remainder = 0
234 ÷ 117 : Remainder = 0
234 ÷ 234 : Remainder = 0

Hence, Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234

• Is 234 a composite number?

Yes 234 is a composite number.

• Is 234 a prime number?

No 234 is not a prime number.

• What is the mean of factors of 234?

Factors of 234 are 1 , 2 , 3 , 6 , 9 , 13 , 18 , 26 , 39 , 78 , 117 , 234. therefore mean of factors of 234 is (1 + 2 + 3 + 6 + 9 + 13 + 18 + 26 + 39 + 78 + 117 + 234) / 12 = 45.50.

• 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 234 but she is finding it difficult. Can you help her find out?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. So, factors of 234 in pair are (1,234), (2,117), (3,78), (6,39), (9,26), (13,18).

Sammy wants to write all the negative factors of 234 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 234 are -1, -2, -3, -6, -9, -13, -18, -26, -39, -78, -117, -234. Hence, factors of 234 in pair are (-1,-234), (-2,-117), (-3,-78), (-6,-39), (-9,-26), (-13,-18).

Help Deep in writing the positive factors of 234 in pair and negative factor of 234 in pair.

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. Positive factors of 234 in pair are (1,234), (2,117), (3,78), (6,39), (9,26), (13,18). Negative factors of 234 in pair are (-1,-234), (-2,-117), (-3,-78), (-6,-39), (-9,-26), (-13,-18).

Find the product of all prime factors of 234.

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. Prime factors are 2, 3, 3, 13. So, the product of all prime factors of 234 would be 2 x 3 x 3 x 13 = 234.

Can you help Sammy list the factors of 234 and also find the factor pairs?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Factors of 234 in pair are (1,234), (2,117), (3,78), (6,39), (9,26), (13,18).

Help Diji in finding factors of 234 by Prime Factorization method and then sorting factors of 234 in pairs.

Prime factorization of 234 is 2 x 3 x 3 x 13. Factors of 234 in pair can be written as (1,234), (2,117), (3,78), (6,39), (9,26), (13,18).

Write the smallest prime factor of 234.

Smallest prime factor of 234 is 2.

Write the largest prime factor of 234.

Largest prime factor of 234 is 13.