Factors

# Factors of 184 | Prime Factorization of 184 | Factor Tree of 184

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### Factors of 184 | Prime Factorization of 184 | Factor Tree of 184

**Factors of 184 **

Factors of 184 | Factor Pairs of 184 | Prime factors of 184 |
---|---|---|

184 = 1, 2, 3, 6, 31, 62, 93, 186 | (1, 186) (2, 93), (3, 62), (6, 31) | 184=2 × 7 × 13 |

Calculate Factors of

**The Factors are**

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**What are the factors of 184**

Have you ever heard of factors, it’s simply the set of numbers that divide a bigger number evenly: say 184 as an example, its factors are 1, 2, 4, 23 46 92, and 184.

But how to find these numbers? Well, you can use two simple methods!

One is division – divide your number by an integer within 0-184 by, Track which integers don’t leave any remains behind which will be all possible divisors!

The second method is Prime Factorization where you will break down a given number into smaller fragments. For instance, in order to get the prime factorization for our choice above [184], we should multiply together prime factors until they add up to our number 2x2x23x2 = 192!

**How to Find Factors of 184**

Four methods to find the factors of 184 are:

Factor of 184 using Multiplication Method

Factors of 184 using Division Method

Prime Factorization of 184

Factor tree of 184

**Factors of 184 using the Multiplication Method**

Why should we understand factors? They can help us do fun mathematics problem-solving and find secret puzzle codes. Let’s start this with the multiplication method,

Step 1: Let’s list 1 and 184 as two of our factors, every number is always divisible by 1 and themselves, right? Here we found two out of many possible ways

Step 2: Now shall we start dividing by other integers between 1 and 184

Whenever you divide something into groups without leaving remainders then they become one of your factors. Continue this until no numbers can divide evenly without leftovers. They are your factors of 184!

**Factors of 184 Using Division Method**

You need a fun way to derive all the factors of a big number, right? Here you go! the division method is an easy and effective way to do that, say 184,

Step 1: Divide 184 by 2; you will get 92 with no remainder; that is 2 can perfectly fit into 184 two times so one of our factors now is 2.

Step 2: Continue dividing until there are no numbers can divide the leftover any further; lets divide 92 by 3, the remainder will be 30 hence 3 fits in five times into 184 making it another factor

Step 3: Keep going until you reach a number where nothing else divides without a remainder. Let us try 7 on 184 the remainder will be 2 meaning 7 is not a factor of 184!

**Prime Factorization of 184**

Calculate Prime Factors of

The Prime Factors of 184 =

2 x

2 x

2 x

23

Prime factorization is a secret code to fragment big numbers into their building parts. Say 184,

Divide 184 by 2 three times every time the answer leaves no remainder; this means the first set of factors are all 2s (or two squared because there are 3)! Continue dividing the answer till you cannot divide it further in this case 23! Now let’s take the last number and multiply it with the first set of factors: The final answer or Prime Factorization is

(2^3) x 23 =184

**Factor tree of 184**

Do you know about factor trees? it is a diagram that helps us find the prime factorization of a number by breaking it down into its factors. come on! Let’s create this fun tree and learn all the prime factors of 184

Step 1: write down your starting number at the top.

Step 2: Divide it by its smallest prime numbers and use those results as branches coming off from the original number.

## Step 3: Repeat this division continuously until you can no longer divide

Let’s use the number 184, shall we?

First of all, start with writing 184 on our paper or whiteboard:

184

Let’s look for its smallest possible prime factors. The first two would be 2×2 = 4. Now draw some lines branching off from the initial “184”:

184 / \ 4 92

Now let’s repeat looking for smaller increments to break apart each section until both sides touch a non-divisible number.

184 /\ 2 92 46 23

**Factor Pairs of 184**

Calculate Pair Factors of

1 x 184=184

2 x 92=184

4 x 46=184

8 x 23=184

23 x 8=184

46 x 4=184

92 x 2=184

So Pair Factors of 184 are

(1,184)

(2,92)

(4,46)

(8,23)

(23,8)

(46,4)

(92,2)

Isn’t it wonderful that big numbers contain a series of smaller numbers fitted in like a puzzle into it? They are called factor pairs. Let’s take our 184, it can be written as four different pairs, (1, 184), (2, 92) there’s (4,46) making (23,8) the final piece. It’s important to note that the pairs 1 x 184 and 184 x 1 are the same pair and are counted once. So if someone wants to solve any problem related to factors quickly – they’ll need two things-to list out their puzzle elements properly from lowest to highest. Carefully explore how these pairs beautifully combine!

**Factors of 184 – Quick Recap**

**Factors of 184: **1, 2, 4, 8, 23, 46, 92, 184.

**Negative Factors of 184:** -1, -2, -4, -8, -23, -46, -92, -184.

**Prime Factors of 184:** 2 × 23

**Prime Factorization of 184:** 2 × 23

**Fun Facts of Factors of 184**

Wanna know exciting facts about 184? 184 isn’t a prime number, which means that when you multiply two or more other numbers together, you get 184. For example, we can divide up 184 into many different factors say 1×184= 14 x 13 = 46 x 4 = 92×2….. By doing “prime factorization” it takes us to 2 special kinds of individual parts that make up our 184- those are 2^3 * 23 times each other. Just know that these values interact with each other and strengthen your skills in adding multiplying and making fractions too!

**Examples of Factor of 184**

1. Two numbers have a product of 184. What could those numbers be?

Answer: The two numbers that have a product of 184 are 12 and 15 (12 x 15 = 184).

2. What is the sum of all factors of 184?

Answer: The sum of all factors of 184 is 168 (1 + 2 + 4 + 23 + 46 + 92 = 168).

3. How many distinct prime factors does 184 have?

Answer: 184 has three distinct prime factors (2, 2, and 23).

4. Is the number 184 divisible by 4?

Answer: Yes,184 is divisible by 4 (184 ÷ 4 = 46).

5. If 60 pieces were divided into six equal parts then how many pieces will each part consist of?

Answer: Each part would consist of 10 pieces (60 ÷ 6 = 10).

6. What is the largest prime factor of 184?

Answer: The largest prime factor of 184 is 23.

7. Express 184 as a product of two consecutive integers.

Answer: No it cannot be expressed so (11 x 17 ≠184)

8. Can you find two consecutive even integers whose product equals 184?

Answer: Yes, 12 x 15 =192

9. Explain what an odd factor is in relation to the number 184.

Answer: An odd factor in relation to the number 184 would be any integer that can divide it exactly which has an odd value – so in this case, 23 is an odd factor as it divides 184 exactly and its value is odd (23 ÷ 1 = 23).

10. What are the six distinct factors of the number 184?

Answer: The six distinct factors are 1, 2, 4, 23, 46, and 92.

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**Frequently asked questions**

### What are all the prime factors of 184?

Answer: The prime factor of 184 is 2 x 2 x23.

### How many factors does 184 have?

Answer: 184 has six distinct factors (1, 2, 4, 23, 46 and 92).

### Is 184 a composite number?

Answer: Yes, 184 is a composite number.

### Does 184 have any odd factors?

Answer: Yes,184 has one odd factor (23).

Written by

Prerit Jain