# Factors of 436

Factors of 436 are 1, 2, 4, 109, 218, and 436

#### How to find factors of a number

 1.   Find factors of 436 using Division Method 2.   Find factors of 436 using Prime Factorization 3.   Find factors of 436 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 436

• Divide 436 by 1: 436 ÷ 1 : Remainder = 0
• Divide 436 by 2: 436 ÷ 2 : Remainder = 0
• Divide 436 by 4: 436 ÷ 4 : Remainder = 0
• Divide 436 by 109: 436 ÷ 109 : Remainder = 0
• Divide 436 by 218: 436 ÷ 218 : Remainder = 0
• Divide 436 by 436: 436 ÷ 436 : Remainder = 0

Hence, Factors of 436 are 1, 2, 4, 109, 218, and 436

#### 2. Steps to find factors of 436 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 436 using the division method, follow these steps:

• Step 1. Start dividing 436 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 436, which is 2. Divide 436 by 2 to obtain the quotient (218).
436 ÷ 2 = 218
• Step 3. Repeat step 1 with the obtained quotient (218).
218 ÷ 2 = 109
109 ÷ 109 = 1

So, the prime factorization of 436 is, 436 = 2 x 2 x 109.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 436 as shown below:

So, the prime factorization of 436 is, 436 = 2 x 2 x 109.

#### 3. Find factors of 436 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 436 would be the two numbers which, when multiplied, give 436 as the result.

The following table represents the calculation of factors of 436 in pairs:

Factor Pair Pair Factorization
1 and 436 1 x 436 = 436
2 and 218 2 x 218 = 436
4 and 109 4 x 109 = 436

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 436. They are called negative pair factors.

Hence, the negative pairs of 436 would be ( -1 , -436 ) , ( -2 , -218 ) and ( -4 , -109 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 436 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 436.
• Every number is a factor of zero (0), since 436 x 0 = 0.
• 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, 4, 109, 218, 436 are exact divisors of 436.
• Factors of 436 are 1, 2, 4, 109, 218, 436. Each factor divides 436 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 109, 218, 436 are all less than or equal to 436.

• Is 436 a perfect square?

No 436 is not a perfect square.

• What are factors of 436?

Factors of 436 are 1, 2, 4, 109, 218, 436.

• Which is greatest factor of 436?

The greatest factor of 436 is 218.

• What is the sum of all factors of 436?

The sum of all factors of 436 is 770.

• What are multiples of 436?

First five multiples of 436 are 872, 1308, 1744, 2180.

• What is the greatest prime factors of 436?

The greatest prime factor of 436 is 109.

• What are six multiples of 436?

First five multiples of 436 are 872, 1308, 1744, 2180, 2616, 3052.

• What is prime factorization of 436?

Prime factorization of 436 is 2 x 2 x 109.

• Is 436 a whole number?

Yes 436 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 436? Help her in writing all the factors.

Positive factors are 1, 2, 4, 109, 218, 436.
Negative factors are -1, -2, -4, -109, -218, -436.

Can you help Sammy find out the product of the odd factors of 436?

Factors of 436 are 1, 2, 4, 109, 218, 436.
Odd factors of 436 are 1, 109.
Hence product of odd factors of 436 is; 1 x 109 = 109.

Joey wants to write all the prime factors of 436 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 436 are 2, 2, 109.
So in exponential form it can be written as 22 x 109.

How many factors are there for 436?

Factors of 436 are 1, 2, 4, 109, 218, 436.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 436. Can you predict the answer?

5 factor(s) of 436 are 1, 2, 4, 109, 218.

Sammy is puzzled while calculating the prime factors of 436. Can you help him find them?

Factors of 436 are 1, 2, 4, 109, 218, 436.
Prime factors of 436 are 2, 2, 109

What is prime factorization of 436?

Prime factorization of 436 is 2 x 2 x 109 = 22 x 109.