# Factors of 444

Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444

#### How to find factors of a number

 1.   Find factors of 444 using Division Method 2.   Find factors of 444 using Prime Factorization 3.   Find factors of 444 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 444

• Divide 444 by 1: 444 ÷ 1 : Remainder = 0
• Divide 444 by 2: 444 ÷ 2 : Remainder = 0
• Divide 444 by 3: 444 ÷ 3 : Remainder = 0
• Divide 444 by 4: 444 ÷ 4 : Remainder = 0
• Divide 444 by 6: 444 ÷ 6 : Remainder = 0
• Divide 444 by 12: 444 ÷ 12 : Remainder = 0
• Divide 444 by 37: 444 ÷ 37 : Remainder = 0
• Divide 444 by 74: 444 ÷ 74 : Remainder = 0
• Divide 444 by 111: 444 ÷ 111 : Remainder = 0
• Divide 444 by 148: 444 ÷ 148 : Remainder = 0
• Divide 444 by 222: 444 ÷ 222 : Remainder = 0
• Divide 444 by 444: 444 ÷ 444 : Remainder = 0

Hence, Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444

#### 2. Steps to find factors of 444 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 444 using the division method, follow these steps:

• Step 1. Start dividing 444 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 444, which is 2. Divide 444 by 2 to obtain the quotient (222).
444 ÷ 2 = 222
• Step 3. Repeat step 1 with the obtained quotient (222).
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1

So, the prime factorization of 444 is, 444 = 2 x 2 x 3 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 444 as shown below:

So, the prime factorization of 444 is, 444 = 2 x 2 x 3 x 37.

#### 3. Find factors of 444 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 444 would be the two numbers which, when multiplied, give 444 as the result.

The following table represents the calculation of factors of 444 in pairs:

Factor Pair Pair Factorization
1 and 444 1 x 444 = 444
2 and 222 2 x 222 = 444
3 and 148 3 x 148 = 444
4 and 111 4 x 111 = 444
6 and 74 6 x 74 = 444
12 and 37 12 x 37 = 444

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 444. They are called negative pair factors.

Hence, the negative pairs of 444 would be ( -1 , -444 ) , ( -2 , -222 ) , ( -3 , -148 ) , ( -4 , -111 ) , ( -6 , -74 ) and ( -12 , -37 ) .

#### 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. 444 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 444.
• Every number is a factor of zero (0), since 444 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, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 are exact divisors of 444.
• Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. Each factor divides 444 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 are all less than or equal to 444.

• What are the prime factors of 444?

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
Prime factors of 444 are 2, 2, 3, 37.

• What two numbers make 444?

Two numbers that make 444 are 2 and 222.

• What is the greatest prime factors of 444?

The greatest prime factor of 444 is 37.

• What are factors of 444?

Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.

• How do you find factors of a negative number? ( eg. -444 )?

Factors of -444 are -1, -2, -3, -4, -6, -12, -37, -74, -111, -148, -222, -444.

• What are five multiples of 444?

First five multiples of 444 are 888, 1332, 1776, 2220, 2664.

• Write some multiples of 444?

First five multiples of 444 are 888, 1332, 1776, 2220.

• Is 444 a perfect square?

No 444 is not a perfect square.

• What two numbers make 444?

Two numbers that make 444 are 2 and 222.

#### Examples of Factors

What is prime factorization of 444?

Prime factorization of 444 is 2 x 2 x 3 x 37 = 22 x 3 x 37.

Sammy is puzzled while calculating the prime factors of 444. Can you help him find them?

Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
Prime factors of 444 are 2, 2, 3, 37

Kevin has been asked to write 11 factor(s) of 444. Can you predict the answer?

11 factor(s) of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222.

Joey wants to write all the prime factors of 444 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 444 are 2, 2, 3, 37.
So in exponential form it can be written as 22 x 3 x 37.

How many factors are there for 444?

Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
So there are in total 12 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 444? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
Negative factors are -1, -2, -3, -4, -6, -12, -37, -74, -111, -148, -222, -444.

Can you help Rubel to find out the product of the even factors of 444?

Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
Even factors of 444 are 2, 4, 6, 12, 74, 148, 222, 444.
Hence, product of even factors of 444 is; 2 x 4 x 6 x 12 x 74 x 148 x 222 x 444 = 621801639936.