Factors

# Factors of 148 | Prime Factorization of 148 | Factor Tree of 148

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 148 | Prime Factorization of 148 | Factor Tree of 148

## Factors of 148

Factors of 148 | Factor Pairs of 148 | Prime factors of 148 |

1, 2, 4, 37, 74, 148 | (1, 148), (2, 74), (4, 37) | 2 x 2 x 37 |

Calculate Factors of

**The Factors are**

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## What are the factors of 148

148 has many factors or pieces it can be broken into! To find these out we need to use the power of prime factorization. Think of a lock – each number is like its own combination. If you enter all the correct combinations for 148 then you unlock that ‘lock’ and get our list of factors: 1, 2, 4, 37, 74 &148! So if someone was asking us what are the biggest numbers which divide evenly into 148 – now we know them too!

## How to Find Factors of 148

The following are the methods through which we can find the factors of 148:

- Factor of 148 using Multiplication Method
- Factors of 148 using Division Method
- Prime Factorization of 148
- Factor tree of 148

## Factors of 148 using Multiplication Method

Knowing your multiplication facts can help you find the factors of a number quickly. To use this method, start by taking a look at all pairs of numbers that have products equal to 148–remember one must always be a factor of 2! Once you’ve got those down, divide each pair in half and check if their answers are prime numbers; if not move on and try other divisions until all the factors appear. Finally, make sure they’re correct by multiplying them together: 1 x 148 =148, 4 x 37=148.

## Factors of 148 Using Division Method

In order to find the factors of a number, like 148 for example, you use something called the division method. First, start by dividing it by 1 and if there is no remainder then that means one is a factor! Then divide it again by 2 followed consecutively by 3 until we reach what’s known as the “square root” which in this case was 12.16 – once you have reached here all possible factors will be found so in this instance these are: 1, 2, 4,37 74 & 148

## Prime Factorization of 148

Calculate Prime Factors of

The Prime Factors of 148 =

2 x

2 x

37

Finding the prime factorization of a number can be like solving a code! To find out the prime factors for 148, you’ll need to start by dividing it by 2. That’s because 2 is called a ‘prime’ number – which means that it can only be divided by itself and 1 in whole numbers. When we divide 148÷2=74, this time 74 isn’t Prime so let’s try again: 74 ÷2 = 37…and voila! We have our last answer; 37 is what we call “Prime” meaning that there aren’t any other smaller divisors left to keep going further- so these two primes; 2x(2) x37are all together make up 148. You could also express those same Primes differently using exponents (like math superheroes do!) as such – 14 ̳8𝑎 8≡232•3𝚿.

## Factor tree of 148

Have you ever wanted to know the prime factors of a number? Well, with factor trees it is easy! A factor tree starts at the top point and branches out in different directions as we discover more numbers that can divide into each other. For example, if we want to find all of the prime factors for 148 then our starting (or root) node will be 148. From there, since 2 divides into it evenly twice – once 74 / 2 = 37 – so 74 and 2 are “children” nodes branching off from this root node representing their results after being divided by two. However 37 already cannot be broken down any further because it itself a “prime” or indivisible number which means our factoring process has stopped here – therefore these three cumulative values represent what’s known as Prime Factorization: i.e; In this case, they add up together like multiplication…2 x 2 x37=148.

## Factor Pairs of 148

Calculate Pair Factors of

1 x 148=148

2 x 74=148

4 x 37=148

37 x 4=148

74 x 2=148

So Pair Factors of 148 are

(1,148)

(2,74)

(4,37)

(37,4)

(74,2)

Did you know that every number has pairs of numbers associated with it? Those pairs of numbers are called factor pairs. A great way to find the factor pairs is by using multiplication! Let’s practice this together, say we have a number like 148. First things first, if this 148 were an even number then one of each pair will be divisible by 2 (1 or 2). So let’s divide our original number r(148)bythefirstfactorof2whichis1:

148÷ 1 = 148

Then let’s try dividing it again this time using these cofactors in the series whichis2:

148 ÷ 2= 74 Thenwe’lldividetheoriginalnumberoncemorebutthistime we divide it with our third and final factors from the series that was divisible equally by six- 4!:

Finally check if these answer obtained from division process ie; [146,78 & 37] qualify as prime numbers because If yes stop here else keep trying other set of factors until u get all sets of parameters for your initial no ie; 147 ! In case opf our example -[ 1✖️147 ],[2 ✖️74 ],[4✖️37]werealltheseparingsinorderfindout manypairsofnumbersfora singlenumberlike1487!

## Factors of 148 – Quick Recap

**Factors of 148:** 1, 2, 4, 37, 74, 148

**Negative Factors of 148:** -1, -2, -4, -37, -74, -148.

**Prime Factors of 148:** **2 x 2 x 37**

**Prime Factorization of 148:** ** ****2 x 2 x 37**

## Examples of Factor of 148

**1) Katina has 148 pencils to distribute among her friends. If she wants all her friends to get the same amount, what is the greatest number of pencils each friend can receive?****Answer: **Each friend can receive 24 pencils (148 ÷ 24 = 6).

**2) The total cost of an item was 148 dollars. What two numbers multiply together to equal that amount? ****Answer: **The two numbers which multiply together to equal 148 dollars are 4 and 37 (4 × 37 = 148).

**3) Kyle bought a book for 148 dollars and his sister gave him 14 dollars for it. How much did he pay for the book? ****Answer:** Kyle paid 134 dollars for the book (148 – 14 = 134).

**4) What is the greatest common factor between 42 and 148?****Answer: **The greatest common factor between 42 and 148 is 14.

**5) Find two consecutive odd numbers whose product equals 148.****Answer: **The two consecutive odd numbers whose product equals 148 are 17 and 19 (17 × 19 = 323).

**6) If Chelsea divides 148 cookies equally among 7 people, how many cookies will each person get? ****Answer:** Each person will get 21 cookies (148 ÷ 7= 21).

**7) Jim had an initial balance of 148 in his bank account. He then made 3 deposits of 20, 40, and 50. How much does he have now? ****Answer: **Jim has 258 in his bank account now (148 + 20 + 40 + 50 = 258).

**8) Zoe multiplied two whole numbers together and got a product of 148. What are those two numbers? ****Answer:** The two whole numbers Zoe multiplied which resulted in a product of 148 are 4 and 37 (4 × 37 =148).

**9) A jar contains a total of 48 marbles; 22 blue marbles, 16 red marbles, and 10 green marbles. What fraction represents the blue marbles in simplified form?****Answer:** The fraction representing the blue marbles in simplified form is 11/24 or

0.458333 (22/48=11/24 or 0.458333).

**10) At a store Maria purchased 3 items that cost 8 dollars each plus tax at 8%. How much did she spend with tax included?Answer:** With tax included Maria spent 26.88 dollars ((3×8)+((3×8)* 0.08)= 26.88 ).

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## Frequently Asked Questions on Factors of 147

**What are the factors of 148?**

The factors of 148 are 1, 2, 4, 37, 74, and 148.

**How many factors does 148 have?**

There are six different factors of 148.

**What is the greatest common factor between 148 and 42?**

The greatest common factor between 148 and 42 is 14.

**What two numbers multiplied together equal 148?**

The two numbers which multiplied together equal 148 are 4 and 37.

**How many prime numbers are factors of 148?**

Two prime numbers – 37 and 74 – are factors of 148.

**What pair of integers has a product of 148?**

The pair (4,37) has a product of 148.

**Divide 148 by its largest factor to find its smallest factor.**

Divide 148 by its largest factor, which is 148, to find its smallest factor; the answer is 1.

**Find two consecutive odd numbers whose product is equal to 148.**

The two consecutive odd numbers whose product is equal to 148 are 17 and 19 (17 × 19 = 323).

**Find three consecutive even integers whose sum equals 148.**

The three consecutive even integers whose sum equals 148 are 72, 74, and 76 (72 + 74 + 76 = 222).

**Find four consecutive multiples of seven that add up to 148.**

The four consecutive multiples of seven that add up to 148 are 7, 14, 21, and 28 (7 + 14 + 21 + 28 = 70).

Written by

Prerit Jain