# Factors of 442

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, and 442

#### How to find factors of a number

 1.   Find factors of 442 using Division Method 2.   Find factors of 442 using Prime Factorization 3.   Find factors of 442 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 442

• Divide 442 by 1: 442 ÷ 1 : Remainder = 0
• Divide 442 by 2: 442 ÷ 2 : Remainder = 0
• Divide 442 by 13: 442 ÷ 13 : Remainder = 0
• Divide 442 by 17: 442 ÷ 17 : Remainder = 0
• Divide 442 by 26: 442 ÷ 26 : Remainder = 0
• Divide 442 by 34: 442 ÷ 34 : Remainder = 0
• Divide 442 by 221: 442 ÷ 221 : Remainder = 0
• Divide 442 by 442: 442 ÷ 442 : Remainder = 0

Hence, Factors of 442 are 1, 2, 13, 17, 26, 34, 221, and 442

#### 2. Steps to find factors of 442 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 442 using the division method, follow these steps:

• Step 1. Start dividing 442 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 442, which is 2. Divide 442 by 2 to obtain the quotient (221).
442 ÷ 2 = 221
• Step 3. Repeat step 1 with the obtained quotient (221).
221 ÷ 13 = 17
17 ÷ 17 = 1

So, the prime factorization of 442 is, 442 = 2 x 13 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 442 as shown below:

So, the prime factorization of 442 is, 442 = 2 x 13 x 17.

#### 3. Find factors of 442 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 442 would be the two numbers which, when multiplied, give 442 as the result.

The following table represents the calculation of factors of 442 in pairs:

Factor Pair Pair Factorization
1 and 442 1 x 442 = 442
2 and 221 2 x 221 = 442
13 and 34 13 x 34 = 442
17 and 26 17 x 26 = 442

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 442. They are called negative pair factors.

Hence, the negative pairs of 442 would be ( -1 , -442 ) , ( -2 , -221 ) , ( -13 , -34 ) and ( -17 , -26 ) .

#### 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. 442 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, 13, 17, 26, 34, 221, 442 are exact divisors of 442.
• 1 is a factor of every number. Eg. 1 is a factor of 442.
• Every number is a factor of zero (0), since 442 x 0 = 0.

• What are the prime factors of 442?

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.
Prime factors of 442 are 2, 13, 17.

• What is the sum of all factors of 442?

The sum of all factors of 442 is 756.

• What are the pair factors of 442?

Pair factors of 442 are (1,442), (2,221), (13,34), (17,26).

• What two numbers make 442?

Two numbers that make 442 are 2 and 221.

• What are multiples of 442?

First five multiples of 442 are 884, 1326, 1768, 2210.

• Is 442 a perfect square?

No 442 is not a perfect square.

• Which is greatest factor of 442?

The greatest factor of 442 is 221.

• How do you factors of 442?

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.

• What are five multiples of 442?

First five multiples of 442 are 884, 1326, 1768, 2210, 2652.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 442?

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.
Even factors of 442 are 2, 26, 34, 442.
Hence, product of even factors of 442 is; 2 x 26 x 34 x 442 = 781456.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 442? Help her in writing all the factors.

Positive factors are 1, 2, 13, 17, 26, 34, 221, 442.
Negative factors are -1, -2, -13, -17, -26, -34, -221, -442.

How many factors are there for 442?

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 442. Can you help him find them?

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.
Prime factors of 442 are 2, 13, 17

Joey wants to write all the prime factors of 442 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 442 are 2, 13, 17.
So in exponential form it can be written as 2 x 13 x 17.

What is prime factorization of 442?

Prime factorization of 442 is 2 x 13 x 17 = 2 x 13 x 17.

Can you help Rubel to find out the product of the even factors of 442?

Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.
Even factors of 442 are 2, 26, 34, 442.
Hence, product of even factors of 442 is; 2 x 26 x 34 x 442 = 781456.