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Factors

Factors of 127 | Prime Factorization of 127 | Factor Tree of 127

Written by Prerit Jain

Updated on: 21 Jun 2023

Contents

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Factors of 127 | Prime Factorization of 127 | Factor Tree of 127

Factors of 127 | Prime Factorization of 127 | Factor Tree of 127

Factors of 127

Factors of 127Factor Pairs of 127Prime factors of 127
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 127.(1, 127), (2, 63), (3, 42), (6, 21), (7, 18) and (9, 14)2, 3 and 7
Factors of 127, Factor Pairs of 127, Prime factors of 127

Calculate Factors of

The Factors are

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What are the factors of 127

The factors of 127 are all of the numbers that can be divide127 uniformly, with no remainder. To find the factors of 127, we can start by making a list of all of the numbers that can be divided into 127 evenly.

Here is the list of factors for 127: 1 and 127.

127 is a prime number, which means that it is only divisible by 1 and itself. This means that the only factors of 127 are 1 and 127.

How to Find Factors of 127

The most widely used methods of finding the factors of a number are given below and they can be used to find the factors of 127 also. 

  • Factors of 127 using the Multiplication Method
  • Factors of 127 using the Division Method
  • Prime Factorization of 127
  • Factor tree of 127

Factors of 127 Using the Multiplication Method

The multiplication method is a way to find the factors of a number by multiplying pairs of numbers together. To use this method to find the factors of 127, we can list all of the numbers that can be multiplied together to get 127. We can start with the number 1 and work our way up.

127 is a prime number, which means that it is only divisible by 1 and itself. This means that the only factors of 127 are 1 and 127. In other words, these are the only two numbers that can be multiplied together to get 127.

To understand this method, it can be helpful to think about what happens when we multiply numbers together. When we multiply two numbers, we are adding one number to itself a certain number of times. For example, when we multiply 2 x 3, we are adding 2 to itself 3 times: 2 + 2 + 2 = 6.

Factors of 127 Using the Division Method

The division method is a way to find the factors of a number by dividing the number by different numbers and seeing if there is a remainder. To use this method to find the factors of 127, we can divide 127 by each number to see if there is a remainder. If there is no remainder, then the number is a factor of 127.

Here is the list of all of the factors of 127 using the division method:

127 ÷ 1 = 127 (no remainder)

127 ÷ 127 = 1 (no remainder)

Since there is no remainder when we divide 127 by 1 or 127, 1 and 127 are both factors of 127. This means that these are the only two numbers that can be divided into 127 evenly, with no remainder.

Prime Factorization of 127

Calculate Prime Factors of

The Prime Factors of 127 =

127

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The prime factorization of a number is a way to express that number as a product of prime numbers. A prime number is a number that is only divisible by 1 and itself, such as 2, 3, 5, and 7. To find the prime factorization of a number, we can divide it by the smallest possible prime number and see if it is a factor. If it is a factor, we can divide the result by the same prime number to see if it is a factor. We can repeat this process with other prime numbers until we have found all of the prime factors.

127 is a prime number, which means that it is only divisible by 1 and itself. This means that the prime factorization of 127 is just 127 because it is its own prime factor. In other words, the prime factorization of 127 is the list of prime numbers that can be multiplied together to get 127. In this case, the prime factorization of 127 is just 127, because it is a prime number and it is only divisible by 1 and itself.

Factor tree of 127

127
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A factor tree is a diagram that shows how a number can be broken down into smaller factors until only prime numbers are left. To create a factor tree for a number, we start with the original number and look for a factor. If the factor is a prime number, we write it on the tree and divide the original number by that factor to get the next number on the tree. We continue this process until we reach numbers that are not divisible by any more prime numbers.

127 is a prime number, which means that it is only divisible by 1 and itself. This means that the factor tree for 127 is just a single branch with the number 127 written on it:

The prime factorization of a number is the list of prime numbers that can be multiplied together to get that number. In this case, the prime factorization of 127 is just 127, because it is a prime number and it is only divisible by 1 and itself.

Factor Pairs of 127

Calculate Pair Factors of

1 x 127=127

So Pair Factors of 127 are

(1,127)

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The factor pairs of a number are all the pairs of numbers that can be multiplied together to get the original number. To find the factor pairs of a number, we can start by listing all of the factors of the number.

To find the factor pairs of 127, we can start by making a list of all of the factors of 127: 1 and 127.

We can then pair these factors together to get all of the factor pairs of 127. Here is the list of factor pairs of 127: (1, 127), (127, 1)

More Factors

Factors of 127 – Quick Recap

  • Factors of 127:  1, 127.
  • Negative Factors of 127:   -1, -127.
  • Prime Factors of 127: 1 and 127
  • Prime Factorization of 127:  1 and 127

Solved Examples of Factor of 127

Q.1: If there are 127 people attending a party and each person has 7 items of food, how many items need to be provided in total? 
Solution: Total number of items = Number of people × Number of items per person. Total number of items = 127 × 7 Total number of items = 889.

Q.2: Sarah has 1270 bagels that she needs to divide among the 127 members of her team, how many bagels would each person receive? 
Solution: A number of bagels per person = Total number of bagels / Number of team members Number of bagels per person = 1270 / 127. Each person would receive approximately 10 bagels.

Q.3: How many common factors are between 126 and 127? 
Solution: The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. The factors of 127 are 1, 127. The common factors between 126 and 127 are only the number 1, as it is the only factor that appears in both lists


Q.4: What is the lowest prime number which is a factor of 127?
Solution:
The lowest prime number that is a factor of 127 is the number itself, 127.


Q.5: If someone needed to purchase 1271 books from a store, how much would they need to spend if each book costs $7?
Solution: If someone needs to purchase 1271 books from a store and each book costs $7, they would need to spend: 1271 books * $7/book = $8,897.



Q.6: What percentage of students can attend the lecture if there are 1260 chairs available and 15 classes?
Solution:
1260 chairs / 15 classes = 84 chairs per class. If each class has 84 chairs, the total number of students that can attend the lecture is 15 * 84 = 1260 students. To find the percentage, we divide the number of students by the total capacity and multiply by 100: (1260 students / 1260 chairs) * 100 =100%. Therefore, 100% of the students can attend the lecture, given that there are exactly enough chairs for every student.

Frequently Asked Questions on Factors of 127

What are the factors of 127?

The factors of 127 are 1 and 127. Since 127 is a prime number, it only has two factors: 1 and itself.

What is the greatest common factor (GCF) for 127 and 154?

The greatest common factor (GCF) of 127 and 154 is 1. Since both 127 and 154 are prime numbers, their only common factor is 1.

How do you find the prime factors of 127?

Start by checking if 127 is divisible by 2. Since 127 is an odd number, it is not divisible by 2.
Check if 127 is divisible by 3. Again, 127 is not divisible by 3.
Continue checking divisibility by prime numbers up to the square root of 127, which is approximately 11.3. In this case, there are no prime numbers less than or equal to 11 that divide 127 exactly.
Since there are no prime factors less than or equal to the square root of 127, we can conclude that 127 is a prime number.
Therefore, the only prime factor of 127 is 127 itself.

How many divisors does the number 127 have?

The number 127 is a prime number, and prime numbers have exactly two divisors: 1 and the number itself. Therefore, the number 127 has only two divisors.

Can you use division to find out if a number is a factor of another number?

Yes – if a division operation between two numbers yields no remainder then that means the second number was a factor of the first one. For example, to know if 7 is a factor of 127, we can divide it and check that the result has no remainder – which indeed it doesn’t(127 divided by 7 equals 18). Thus we know 7 is one of the factors for 127.

Are there any perfect squares between 126 and 128? 

No, there are no perfect squares between 126 and 128. 

What is the HCF or GCD for 125 and 129?

The highest common factor or greatest common divisor for 125 and 129 is 1. 

 If someone needed to purchase 1275 books from a store, how much would they need to spend if each book costs $7? 

Total cost = Number of books × Cost per book
Total cost = 1275 × $7
Total cost = $8925

Written by

Prerit Jain

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