Factors of 124 | Prime Factorization of 124 | Factor Tree of 124

Factors of 124

Factors of 124	Factor Pairs of 124	Prime factors of 124
1, 2, 4, 31, 62, 124	(1, 124), (2, 62) and (4, 31)	2 × 31

What are the factors of 124

Factors of a given number are the numbers that can divide the given number evenly, with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. To find the factors of 124, we can start by dividing it by 2 to see if it is even. 124 divided by 2 is 62, which is an even number, so 2 is a factor of 124. We can continue to divide by 2 to find more factors, or we can start dividing by other numbers.

One way to find all of the factors of 124 is to make a list of all of the numbers that divide into 124 evenly. We can start with the number 1 and work our way up.

Here is the list of factors of 124:1, 2, 4, 31, 62, 124

We can check that these numbers all divide into 124 evenly by dividing 124 by each one. For example, 124 divided by 2 is 62, and 124 divided by 4 is 31. All of these numbers divide into 124 evenly, so they are all factors of 124.

How to Find Factors of 124

The following are the methods through which we can find the factors of 124: 

• Factors of 124 using the Multiplication Method
• Factors of 124 using the Division Method
• Prime Factorization of 124
• Factor tree of 124

Factors of 124 using 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 124, we can start by listing all of the numbers that can be multiplied together to get 124. We can start with the number 1 and work our way up. Here is the list of factors of 124:

1 x 124 = 124

2 x 62 = 124

4 x 31 = 124

To understand this method, it can be helpful to think about what we are doing 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.

In the same way, when we multiply two numbers together to get 124, we are adding one number to itself a certain number of times to get 124. For example, when we multiply 2 x 62, we are adding 2 to itself 62 times to get 124. When we multiply 4 x 31, we are adding 4 to itself 31 times to get 124.

Factors of 124 Using Division Method

The division method is a way to find the factors of a number by dividing the number by different numbers to see if it is divisible. To use this method to find the factors of 124, we can start by dividing 124 by the smallest possible number, which is 1. 124 divided by 1 is 124, which is an integer (a whole number), so 1 is a factor of 124.

Next, we can try dividing 124 by 2. 124 divided by 2 is 62, which is an integer, so 2 is also a factor of 124. We can continue to divide by 2 to find more factors, or we can start dividing by other numbers.

We can divide 124 by 3 to see if it is a factor. 124 divided by 3 is 41 with a remainder of 1, so 3 is not a factor of 124. We can repeat this process with other numbers, dividing 124 by each one to see if it is a factor.

Here is the list of all of the factors of 124 using the division method:1, 2, 4, 31, 62, 124

We can check that these are all of the factors of 124 by dividing 124 by each one and making sure that there is no remainder. For example, 124 divided by 2 is 62 with no remainder, and 124 divided by 4 is 31 with no remainder. All of these numbers divide into 124 evenly, so they are all factors of 124.

Prime Factorization of 124

The prime factorization of a number is the list of prime numbers that can be multiplied together to get the original number. A prime number is a number that is only divisible by 1 and itself. For example, the prime factorization of 12 is 2 x 2 x 3, because these are the prime numbers that can be multiplied together to get 12.

To find the prime factorization of 124, we can start by dividing it by the smallest prime number, which is 2. 124 divided by 2 is 62, which is an even number, so 2 is a factor of 124. We can divide 124 by 2 again to find more factors, or we can start dividing by other prime numbers.

We can divide 124 by 3 to see if it is a factor. 124 divided by 3 is 41 with a remainder of 1, so 3 is not a factor of 124. We can repeat this process with other prime numbers, dividing 124 by each one to see if it is a factor.

Here is the prime factorization of 124: 2 x 2 x 31

We can check that this is the prime factorization of 124 by multiplying the prime numbers together to get 124: 2 x 2 x 31 = 124

Factor tree of 124

A factor tree is a way to represent the prime factorization of a number in a diagrammatic way. It is a tree-like diagram that shows how the original number can be broken down into smaller factors until only prime numbers are left.

To create a factor tree, we start with the original number and look for a factor. In this case, 124 is divisible by 2, so we write 2 as one of the branches of the tree. We then divide 124 by 2 to get the next number on the tree, which is 62. We continue to divide by factors until we reach only prime numbers.

Here is a factor tree for 124:

2 62

/

2 31

The prime factorization of 124 is the list of prime numbers that can be multiplied together to get 124. In this case, the prime factorization of 124 is 2 x 2 x 31, because these are the prime numbers that can be multiplied together to get 124.

Factor Pairs of 124

A factor pair is a pair of numbers that can be multiplied together to get a product. The factor pairs of a number are the pairs of numbers that multiply together to get that number.

To find the factor pairs of 124, we can list all of the factors of 124 and then pair them up. The factors of 124 are 1, 2, 4, 31, 62, and 124. We can pair these numbers up to create the factor pairs: (1, 124), (2, 62), (4, 31)

These are all of the factor pairs of 124 because these are the pairs of numbers that multiply together to get 124. We can check that these pairs of numbers multiply together to get 124 by multiplying them together. For example, 2 x 62 is 124, and 4 x 31 is 124.

More Factors

• Factors of 121
• Factors of 122
• Factors of 123
• Factors of 124
• Factors of 125
• Factors of 126
• Factors of 127

Factors of 124 – Quick Recap

• Factors of 124:  1, 2, 4, 31, 62, 124.
• Negative Factors of 124:  -1, -2, -4, -31, -62, -124.
• Prime Factors of 124:2 × 31
• Prime Factorization of 124:  2 × 31

Solved Examples of Factor 124

Q.1: Sarah’s family is hosting a party and wants to make sure everyone has enough food. If they have 120 slices of cake, how much cake can each person eat if there are 8 guests? 
Solution: Each person can eat 15 slices of cake in this case. (120/8 = 15)

Q.2:There are 124 different items that need to be sorted into 3 categories; how many items should go in each category? 
Solution: Each category should have 41 items in this case. (124/3 = 41)

Q.3: Eric has 124 marbles and wants to divide them evenly with his four friends; how many marbles will each friend get? 
Solution: Each friend will get 31 marbles in this case. (124/4 = 31)

Q.4: Tyler needs to purchase ingredients for a recipe that serves 24 people. If there are 120 ingredients needed, how many should he buy for each person? 
Solution: He should purchase 5 ingredients per person in this case. (120/24 = 5)

Q.5: Mary and her daughter Julia plan to make bracelets for their friends and family; if they have 123 beads, how many bracelets can they make if each bracelet requires 7 beads? 
Solution: They can make 19 bracelets with the 123 beads in this case. (123/7 = 19)

Q.6: Melissa has 124 pencils that she needs to sharpen for a school project; if she sharpens 4 pencils at once, how many times will she need to sharpen all the pencils?  
Solution: She will need to sharpen the pencils 31 times in this case. (124/4 = 31)

Q.7: John needs to cut up 1246 apples into equal pieces, how many pieces should he cut them into?
Solution: To calculate the number of pieces John should cut the 1246 apples into, we need to know the desired number of pieces per apple. If John wants to cut each apple into x pieces, the total number of pieces would be 1246 multiplied by x. Please provide the desired number of pieces per apple so I can assist you further.

Q.8: If Leslie bought 1023 books from the bookstore, and divided them among 124 people, how many books would each person receive?
Solution: 1023 / 124 = 8.25. Since we can’t have a fraction of a book, we can round the result to the nearest whole number or consider distributing the remainder. If we round the result, each person would receive approximately 8 books. If we distribute the remainder, some people may receive 8 books, while others receive 9 books. The total number of books would still be 1023.

Q.9: If there are 122 coins but only half of them are heads, what fraction of the coins are heads?
Solution: Number of heads = 122 / 2 = 61. Therefore, the fraction of coins that head is: Fraction of heads = Number of heads / Total number of coins = 61 / 122 = 1/2.

Frequently Asked Questions on Factors of 124