# Factors of 1127

Factors of 1127 are 1, 7, 23, 49, 161, and 1127

#### How to find factors of a number

 1.   Find factors of 1127 using Division Method 2.   Find factors of 1127 using Prime Factorization 3.   Find factors of 1127 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1127

• Divide 1127 by 1: 1127 ÷ 1 : Remainder = 0
• Divide 1127 by 7: 1127 ÷ 7 : Remainder = 0
• Divide 1127 by 23: 1127 ÷ 23 : Remainder = 0
• Divide 1127 by 49: 1127 ÷ 49 : Remainder = 0
• Divide 1127 by 161: 1127 ÷ 161 : Remainder = 0
• Divide 1127 by 1127: 1127 ÷ 1127 : Remainder = 0

Hence, Factors of 1127 are 1, 7, 23, 49, 161, and 1127

#### 2. Steps to find factors of 1127 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 1127 using the division method, follow these steps:

• Step 1. Start dividing 1127 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 1127, which is 7. Divide 1127 by 7 to obtain the quotient (161).
1127 ÷ 7 = 161
• Step 3. Repeat step 1 with the obtained quotient (161).
161 ÷ 7 = 23
23 ÷ 23 = 1

So, the prime factorization of 1127 is, 1127 = 7 x 7 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1127 as shown below:

So, the prime factorization of 1127 is, 1127 = 7 x 7 x 23.

#### 3. Find factors of 1127 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 1127 would be the two numbers which, when multiplied, give 1127 as the result.

The following table represents the calculation of factors of 1127 in pairs:

Factor Pair Pair Factorization
1 and 1127 1 x 1127 = 1127
7 and 161 7 x 161 = 1127
23 and 49 23 x 49 = 1127

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 1127. They are called negative pair factors.

Hence, the negative pairs of 1127 would be ( -1 , -1127 ) , ( -7 , -161 ) and ( -23 , -49 ) .

#### 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 1127 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, 23, 49, 161, 1127 are exact divisors of 1127.
• Factors of 1127 are 1, 7, 23, 49, 161, 1127. Each factor divides 1127 without leaving a remainder.

• What two numbers make 1127?

Two numbers that make 1127 are 7 and 161.

• What is prime factorization of 1127?

Prime factorization of 1127 is 7 x 7 x 23.

• Write some multiples of 1127?

First five multiples of 1127 are 2254, 3381, 4508, 5635.

• Which is the smallest prime factor of 1127?

The smallest prime factor of 1127 is 7.

• Is 1127 a perfect square?

No 1127 is not a perfect square.

• What is the sum of all factors of 1127?

The sum of all factors of 1127 is 1368.

• What are factors of 1127?

Factors of 1127 are 1, 7, 23, 49, 161, 1127.

• How do you find factors of a negative number? ( eg. -1127 )?

Factors of -1127 are -1, -7, -23, -49, -161, -1127.

• Is 1127 a whole number?

Yes 1127 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 1127. Help him in finding the mean of 1127.

Factors of 1127 are 1, 7, 23, 49, 161, 1127.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1127 is 1 + 7 + 23 + 49 + 161 + 1127 = 1368.
Hence, the mean of factors of 1127 is 1368 ÷ 6 = 228.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1127? Help her in writing all the factors.

Positive factors are 1, 7, 23, 49, 161, 1127.
Negative factors are -1, -7, -23, -49, -161, -1127.

Joey wants to write all the prime factors of 1127 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1127 are 7, 7, 23.
So in exponential form it can be written as 72 x 23.

Kevin has been asked to write 5 factor(s) of 1127. Can you predict the answer?

5 factor(s) of 1127 are 1, 7, 23, 49, 161.

Sammy is puzzled while calculating the prime factors of 1127. Can you help him find them?

Factors of 1127 are 1, 7, 23, 49, 161, 1127.
Prime factors of 1127 are 7, 7, 23

What is prime factorization of 1127?

Prime factorization of 1127 is 7 x 7 x 23 = 72 x 23.

Can you help Rubel to find out the product of the even factors of 1127?

Factors of 1127 are 1, 7, 23, 49, 161, 1127.
Even factors of 1127 are 0.
Hence, product of even factors of 1127 is; 0 = 0.