# Factors of 29

Factors of 29 are 1 and 29

#### How to find factors of a number

 1.   Find factors of 29 using Division Method 2.   Find factors of 29 using Prime Factorization 3.   Find factors of 29 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 29

• Divide 29 by 1: 29 ÷ 1 : Remainder = 0
• Divide 29 by 29: 29 ÷ 29 : Remainder = 0

Hence, Factors of 29 are 1 and 29

#### 2. Steps to find factors of 29 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 29 using the division method, follow these steps:

• Step 1. Start dividing 29 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 29, which is 29. Divide 29 by 29 to obtain the quotient (1).
29 ÷ 29 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 29 is, 29 = 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 29 as shown below:

So, the prime factorization of 29 is, 29 = 29.

#### 3. Find factors of 29 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 29 would be the two numbers which, when multiplied, give 29 as the result.

The following table represents the calculation of factors of 29 in pairs:

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

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 29. They are called negative pair factors.

Hence, the negative pairs of 29 would be ( -1 , -29 ) , .

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

• What two numbers make 29?

Two numbers that make 29 are 29 and 1.

• What is prime factorization of 29?

Prime factorization of 29 is 29.

• Write some multiples of 29?

First five multiples of 29 are 58, 87, 116, 145.

• Which is the smallest prime factor of 29?

The smallest prime factor of 29 is 29.

• Is 29 a perfect square?

No 29 is not a perfect square.

• What is the sum of all factors of 29?

The sum of all factors of 29 is 30.

• What are factors of 29?

Factors of 29 are 1, 29.

• How do you find factors of a negative number? ( eg. -29 )?

Factors of -29 are -1, -29.

• Is 29 a whole number?

Yes 29 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 29. Help him in finding the mean of 29.

Factors of 29 are 1, 29.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 29 is 1 + 29 = 30.
Hence, the mean of factors of 29 is 30 ÷ 2 = 15.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 29? Help her in writing all the factors.

Positive factors are 1, 29.
Negative factors are -1, -29.

Joey wants to write all the prime factors of 29 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 29 are 29.
So in exponential form it can be written as 29.

Kevin has been asked to write 1 factor(s) of 29. Can you predict the answer?

1 factor(s) of 29 is 1.

Sammy is puzzled while calculating the prime factors of 29. Can you help him find them?

Factors of 29 are 1, 29.
Prime factors of 29 are 29

What is prime factorization of 29?

Prime factorization of 29 is 29 = 29.

Can you help Rubel to find out the product of the even factors of 29?

Factors of 29 are 1, 29.
Even factors of 29 are 0.
Hence, product of even factors of 29 is; 0 = 0.