# Factors of 427

Factors of 427 are 1, 7, 61, and 427

#### How to find factors of a number

 1.   Find factors of 427 using Division Method 2.   Find factors of 427 using Prime Factorization 3.   Find factors of 427 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 427

• Divide 427 by 1: 427 ÷ 1 : Remainder = 0
• Divide 427 by 7: 427 ÷ 7 : Remainder = 0
• Divide 427 by 61: 427 ÷ 61 : Remainder = 0
• Divide 427 by 427: 427 ÷ 427 : Remainder = 0

Hence, Factors of 427 are 1, 7, 61, and 427

#### 2. Steps to find factors of 427 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 427 using the division method, follow these steps:

• Step 1. Start dividing 427 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 427, which is 7. Divide 427 by 7 to obtain the quotient (61).
427 ÷ 7 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 427 is, 427 = 7 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 427 as shown below:

So, the prime factorization of 427 is, 427 = 7 x 61.

#### 3. Find factors of 427 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 427 would be the two numbers which, when multiplied, give 427 as the result.

The following table represents the calculation of factors of 427 in pairs:

Factor Pair Pair Factorization
1 and 427 1 x 427 = 427
7 and 61 7 x 61 = 427

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 427. They are called negative pair factors.

Hence, the negative pairs of 427 would be ( -1 , -427 ) , ( -7 , -61 ) .

#### 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

• Every number is a factor of zero (0), since 427 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, 7, 61, 427 are exact divisors of 427.
• Factors of 427 are 1, 7, 61, 427. Each factor divides 427 without leaving a remainder.

• Is 427 a perfect square?

No 427 is not a perfect square.

• What are factors of 427?

Factors of 427 are 1, 7, 61, 427.

• Which is greatest factor of 427?

The greatest factor of 427 is 61.

• What is the sum of all factors of 427?

The sum of all factors of 427 is 496.

• What are multiples of 427?

First five multiples of 427 are 854, 1281, 1708, 2135.

• What is the greatest prime factors of 427?

The greatest prime factor of 427 is 61.

• What are six multiples of 427?

First five multiples of 427 are 854, 1281, 1708, 2135, 2562, 2989.

• What is prime factorization of 427?

Prime factorization of 427 is 7 x 61.

• Is 427 a whole number?

Yes 427 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 427? Help her in writing all the factors.

Positive factors are 1, 7, 61, 427.
Negative factors are -1, -7, -61, -427.

Can you help Sammy find out the product of the odd factors of 427?

Factors of 427 are 1, 7, 61, 427.
Odd factors of 427 are 1, 7, 61, 427.
Hence product of odd factors of 427 is; 1 x 7 x 61 x 427 = 182329.

Joey wants to write all the prime factors of 427 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 427 are 7, 61.
So in exponential form it can be written as 7 x 61.

How many factors are there for 427?

Factors of 427 are 1, 7, 61, 427.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 427. Can you predict the answer?

3 factor(s) of 427 are 1, 7, 61.

Sammy is puzzled while calculating the prime factors of 427. Can you help him find them?

Factors of 427 are 1, 7, 61, 427.
Prime factors of 427 are 7, 61

What is prime factorization of 427?

Prime factorization of 427 is 7 x 61 = 7 x 61.