Factors of 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:

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.

Frequently Asked Questions

• 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