# Factors of 127

Factors of 127 are 1 and 127

#### How to find factors of a number

 1.   Find factors of 127 using Division Method 2.   Find factors of 127 using Prime Factorization 3.   Find factors of 127 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 127

• Divide 127 by 1: 127 ÷ 1 : Remainder = 0
• Divide 127 by 127: 127 ÷ 127 : Remainder = 0

Hence, Factors of 127 are 1 and 127

#### 2. Steps to find factors of 127 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 127 using the division method, follow these steps:

• Step 1. Start dividing 127 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 127, which is 127. Divide 127 by 127 to obtain the quotient (1).
127 ÷ 127 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 127 is, 127 = 127.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 127 as shown below:

So, the prime factorization of 127 is, 127 = 127.

#### 3. Find factors of 127 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 127 would be the two numbers which, when multiplied, give 127 as the result.

The following table represents the calculation of factors of 127 in pairs:

Factor Pair Pair Factorization
1 and 127 1 x 127 = 127

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 127. They are called negative pair factors.

Hence, the negative pairs of 127 would be ( -1 , -127 ) , .

#### 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 127 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, 127 are exact divisors of 127.
• Factors of 127 are 1, 127. Each factor divides 127 without leaving a remainder.

• What are the prime factors of 127?

The factors of 127 are 1, 127.
Prime factors of 127 are 127.

• What is the sum of all factors of 127?

The sum of all factors of 127 is 128.

• What are the pair factors of 127?

Pair factors of 127 are (1,127).

• What two numbers make 127?

Two numbers that make 127 are 127 and 1.

• What are multiples of 127?

First five multiples of 127 are 254, 381, 508, 635.

• Is 127 a perfect square?

No 127 is not a perfect square.

• Which is greatest factor of 127?

The greatest factor of 127 is 1.

• How do you factors of 127?

Factors of 127 are 1, 127.

• What are five multiples of 127?

First five multiples of 127 are 254, 381, 508, 635, 762.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 127?

Factors of 127 are 1, 127.
Even factors of 127 are 0.
Hence, product of even factors of 127 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 127? Help her in writing all the factors.

Positive factors are 1, 127.
Negative factors are -1, -127.

How many factors are there for 127?

Factors of 127 are 1, 127.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 127. Can you help him find them?

Factors of 127 are 1, 127.
Prime factors of 127 are 127

Joey wants to write all the prime factors of 127 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 127 are 127.
So in exponential form it can be written as 127.

What is prime factorization of 127?

Prime factorization of 127 is 127 = 127.

Can you help Rubel to find out the product of the even factors of 127?

Factors of 127 are 1, 127.
Even factors of 127 are 0.
Hence, product of even factors of 127 is; 0 = 0.