Factors

# Factors of 147 | Prime Factorization of 147 | Factor Tree of 147

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 147 | Prime Factorization of 147 | Factor Tree of 147

## Factors of 147

Factors of 147 | Factor Pairs of 147 | Prime factors of 147 |

1, 3, 7, 21, 49, 147 | (1,147) (3,49) (7,21) (21,7) (49,3) | 3 x 7 x 7 |

Calculate Factors of

**The Factors are**

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## What are the factors of 147

147 is a prime number, meaning it can only be divided by 1 and itself with no remainder. That’s why the factors of 147 are limited to just two -1 and 147! You could also use trial division from 2 up to sqrt(147) in order to find out what these numbers are. Prime numbers have many useful properties which make them incredibly valuable for applications such as cryptography, coding theory or pseudo-random number generation.

## How to Find Factors of 147

The following are the methods through which the factors of a number can be found:

- Factor of 124 using Multiplication Method
- Factors of 124 using Division Method
- Prime Factorization of 124
- Factor tree of 124

## Factors of 147 using Multiplication Method

Did you know that the prime factorization of 147 is a simple equation? It’s just 1 and itself, meaning it can be represented with an exponential notation: 147^1. As its only two factors are 1 and itself – ordinary multiplication isn’t needed to find them! So there – now you know all about how one number, in particular, works out when we get down into those details.

## Factors of 147 Using Division Method

Want to find out the factors of a number? The division method is one way you can do it! Simply divide your original number by every integer greater than 1 and less than itself, then check if there’s no remainder. For example – 147 has two factors: 1 and 147. Try dividing it from 2 all the way up until 12.21 (the square root of 147) – none will be an exact fit so those numbers won’t be factors either!

## Prime Factorization of 147

Calculate Prime Factors of

The Prime Factors of 147 =

3 x

7 x

7

Prime numbers like 147 are unique in that their only factors are 1 and themselves! Therefore, the prime factorization of 147 is just itself raised to the power of one – which can be written as either 147^1 or simply “147”. By understanding a number’s prime factorization, you’ll have insight into it by seeing its components: the raw elements known as prime numbers.

## Factor tree of 147

Have you ever wondered how mathematicians figure out the prime factors for any given number? It’s all done with a cool visual tool called factor trees! Factor trees help break down numbers into their prime factors by repeatedly dividing it by smaller and smaller numbers. For example, if we wanted to work out the prime factorization of 147 (which is itself since it’s a Prime Number!) then our tree would simply look like this:

This is because 247 can only be divided evenly by 1 and itself – no other divisors. So essentially what that looks like in a picture form when broken up into individual branches on the “tree”, are two lines going from one point straight sideways which stop at nothing–just representing those two original divisors or primes within your total larger number beginning with just 147!

## Factor Pairs of 147

Calculate Pair Factors of

1 x 147=147

3 x 49=147

7 x 21=147

21 x 7=147

49 x 3=147

So Pair Factors of 147 are

(1,147)

(3,49)

(7,21)

(21,7)

(49,3)

To understand factor pairs, let’s look at the number 147. A prime number is a special type of integer which has only two factors: itself and 1! That’s why when we try to find all factor pairs for such numbers, there are usually just one or two possibilities; so in this case (1*147) equals our original value – proving that it does indeed have only one valid pair: (1,147).

Another way to calculate would be by diving the target figure with each possible divisor till you get an exact whole-number answer every time. For example dividing 147 by its own amount yields 1 while splitting it once more will result in exactly 147 again. This means if your inquiry produces either a remainder or decimal then those can be eliminated from further analysis as they aren’t true answers – since any real world solution must always end up being a round single digit result like here instead!

## Factors of 147 – Quick Recap

**Factors of 147:** 1, 3, 7, 21, 49, 147

**Negative Factors of 147:** –1, -3, -7, -21, -49, and -147.

**Prime Factors of 147:** **3 x 7 x 7**

**Prime Factorization of 147:** ** ****3 x 7 x 7**

## Fun Facts of Factors of 147

- It’s a prime number, part of the Mersenne Prime Number sequence, and it can be expressed as two different sums of squares! That means if we have 12 x 12 blocks plus 3 x 3 more blocks, then that equals to144 + 9 which is equal to 11×11 block plus 2 X 2 additional ones – or 125 total.
- In binary code (1s & 0s) this special number looks like 10010011 – made even cooler because it’s also a palindrome.
- Well not only is it an odd prime but its digits add up perfectly divided by itself; in fact they make 1+ 4 + 7 =12- making “147” an awesome Harshad Number too! And did you hear about the element Praseodymium? The symbol “Pr” on your periodic table with Atomic #59 happens to have 14 electrons orbiting around its nucleus… just like our amazing extra specular 8th Lucas Space Ranger–the one and only: NUMBER 149!!!

## Examples of Factor of 147

**1) What are the factors of 147?**** **Answer: The factors of 147 are 1, 3, 7, 21, 49, and 147.

**2) How many factors does 147 have? ****Answer: **147 has 6 different factors.

**3) What is the greatest common factor between 147 and 42? ****Answer:** The greatest common factor between 147 and 42 is 21.

**4) What two numbers multiplied together equal 147? ****Answer: **The two numbers which multiplied together equal 147 are 7 and 21.

**5) How many prime numbers are factors of 147? ****Answer: **Three prime numbers are factors of 147; they are 3, 7, and 47.

**6) What pair of integers has a product of 147?****Answer: **The pair (7,21) has a product of 147.

**7) Divide 147 by its largest factor to find its smallest factor. ****Answer: **Divide 147 by its largest factor, which is 147, to find its smallest factor; the answer is 1.

**8) Find two consecutive odd numbers whose product is equal to 147**.**Answer: **The two consecutive odd numbers whose product is equal to 147 are 13 and 15 (13 × 15 = 195).

**9) Find three consecutive even integers whose sum equals 147. ****Answer:** The three consecutive even integers whose sum equals 147 are 72, 74, and 76 (72 + 74 + 76 = 222).

**10) Find four consecutive multiples of seven that add up to 147.Answer: **The four consecutive multiples of seven that add up to 147 are 7, 14, 21 , and 28 (7 + 14 + 21 + 28 = 70).

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## Frequently Asked Questions on Factors of 147

** What are the factors of 147?**

The factors of 147 are 1, 3, 7, 21, 49, and 147.

**How many factors does 147 have?**

There are six different factors of 147.

**What is the greatest common factor between 147 and 42?**

The greatest common factor between 147 and 42 is 21.

**What two numbers multiplied together equal 147?**

The two numbers which multiplied together equal 147 are 7 and 21.

**How many prime numbers are factors of 147?**

Three prime numbers – 3, 7, and 47 – are factors of 147.

**What pair of integers has a product of 147?**

The pair (7,21) has a product of 147.

**Divide 147 by its largest factor to find its smallest factor.**

Divide 147 by its largest factor, which is 147, to find its smallest factor; the answer is 1.

**Find two consecutive odd numbers whose product is equal to 147.**

The two consecutive odd numbers whose product is equal to 147 are 13 and 15 (13 × 15 = 195).

**Find three consecutive even integers whose sum equals 147.**

The three consecutive even integers whose sum equals 147 are 72, 74, and 76 (72 + 74 + 76 = 222).

**Find four consecutive multiples of seven that add up to 147.**

The four consecutive multiples of seven that add up to 147 are 7, 14, 21, 28 (7 + 14 + 21 + 28 = 70).

Written by

Prerit Jain