# Factors of 426

Factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426

#### How to find factors of a number

 1.   Find factors of 426 using Division Method 2.   Find factors of 426 using Prime Factorization 3.   Find factors of 426 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 426

• Divide 426 by 1: 426 ÷ 1 : Remainder = 0
• Divide 426 by 2: 426 ÷ 2 : Remainder = 0
• Divide 426 by 3: 426 ÷ 3 : Remainder = 0
• Divide 426 by 6: 426 ÷ 6 : Remainder = 0
• Divide 426 by 71: 426 ÷ 71 : Remainder = 0
• Divide 426 by 142: 426 ÷ 142 : Remainder = 0
• Divide 426 by 213: 426 ÷ 213 : Remainder = 0
• Divide 426 by 426: 426 ÷ 426 : Remainder = 0

Hence, Factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426

#### 2. Steps to find factors of 426 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 426 using the division method, follow these steps:

• Step 1. Start dividing 426 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 426, which is 2. Divide 426 by 2 to obtain the quotient (213).
426 ÷ 2 = 213
• Step 3. Repeat step 1 with the obtained quotient (213).
213 ÷ 3 = 71
71 ÷ 71 = 1

So, the prime factorization of 426 is, 426 = 2 x 3 x 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 426 as shown below:

So, the prime factorization of 426 is, 426 = 2 x 3 x 71.

#### 3. Find factors of 426 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 426 would be the two numbers which, when multiplied, give 426 as the result.

The following table represents the calculation of factors of 426 in pairs:

Factor Pair Pair Factorization
1 and 426 1 x 426 = 426
2 and 213 2 x 213 = 426
3 and 142 3 x 142 = 426
6 and 71 6 x 71 = 426

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 426. They are called negative pair factors.

Hence, the negative pairs of 426 would be ( -1 , -426 ) , ( -2 , -213 ) , ( -3 , -142 ) and ( -6 , -71 ) .

#### 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. 426 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, 71, 142, 213, 426 are exact divisors of 426.
• 1 is a factor of every number. Eg. 1 is a factor of 426.
• Every number is a factor of zero (0), since 426 x 0 = 0.

• What are the prime factors of 426?

The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426.
Prime factors of 426 are 2, 3, 71.

• What two numbers make 426?

Two numbers that make 426 are 2 and 213.

• What is the greatest prime factors of 426?

The greatest prime factor of 426 is 71.

• What are factors of 426?

Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426.

• How do you find factors of a negative number? ( eg. -426 )?

Factors of -426 are -1, -2, -3, -6, -71, -142, -213, -426.

• What are five multiples of 426?

First five multiples of 426 are 852, 1278, 1704, 2130, 2556.

• Write some multiples of 426?

First five multiples of 426 are 852, 1278, 1704, 2130.

• Is 426 a perfect square?

No 426 is not a perfect square.

• What two numbers make 426?

Two numbers that make 426 are 2 and 213.

#### Examples of Factors

What is prime factorization of 426?

Prime factorization of 426 is 2 x 3 x 71 = 2 x 3 x 71.

Sammy is puzzled while calculating the prime factors of 426. Can you help him find them?

Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426.
Prime factors of 426 are 2, 3, 71

Kevin has been asked to write 7 factor(s) of 426. Can you predict the answer?

7 factor(s) of 426 are 1, 2, 3, 6, 71, 142, 213.

Joey wants to write all the prime factors of 426 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 426 are 2, 3, 71.
So in exponential form it can be written as 2 x 3 x 71.

How many factors are there for 426?

Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 426? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 71, 142, 213, 426.
Negative factors are -1, -2, -3, -6, -71, -142, -213, -426.

Can you help Rubel to find out the product of the even factors of 426?

Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426.
Even factors of 426 are 2, 6, 142, 426.
Hence, product of even factors of 426 is; 2 x 6 x 142 x 426 = 725904.