Factors

# Factors of 169 | Prime Factorization of 169 | Factor Tree of 169

Written by Prerit Jain

Updated on: 18 Aug 2023

Contents

### Factors of 169 | Prime Factorization of 169 | Factor Tree of 169

Factors of 169 | Factor Pairs of 169 | Prime factors of 169 |
---|---|---|

169 = 1, 13 and 169 | (1, 169) and (13, 13) | 169= 13 x 13. |

Calculate Factors of

**The Factors are**

**Looking to Learn Math? Explore Wiingy’s Online Math Tutoring Services to learn from top mathematicians and experts.**

**What are the factors of 169**

Prime numbers are super special because they have only two factors – 1 and themselves! For example, 169 is a prime number. Pretty cool right?

**How to Find Factors of 169**

The four basic methods that you can use to find the factors of 169:

Factors of 169 using the Multiplication Method

Factors of 169 using the Division Method

Prime Factorization of 169

Factor tree of 169

**Factors of 169 using the Multiplication Method**

A prime number, like 169, only has two factors: 1 and itself. To find the different possible combinations of these factors for any given number we can use the multiplication method!

169 for example – when we multiply it by one (1 x169) it gives us back that same original value – in this case…169! Multiplying anything times itself always gets us back to where we started from. Since numbers with just those two factors are called ‘prime’ numbers like 169- well then there are no combos to be found out!

**Factors of 169 Using Division Method**

To find all the factors of 169, we need to try dividing it with different numbers between 1 and 169 until we get an answer without any remainder – these are our factors! In the case of 169 by both one and itself, then those two answers give us back 169 which means that for this number, its only factors are 1 and 169 – no other whole numbers will work.

**Prime Factorization of 169**

Calculate Prime Factors of

The Prime Factors of 167 =

167

Prime numbers can never be written as the product of other smaller numbers like 3 x 5 = 15 or 7 X 6 = 42. Consider 169 in “prime factorization,” all you get is just 169! So if you think about what are the prime factors for this number – there’s nothing to do because it already IS its own prime factor!

**Factor tree of 169**

Factor trees are a really cool way to learn about prime factors! For example, 169 is a prime as it cannot be broken down into smaller parts that equal one another (like 4 × 7). When trying to figure out if something is prime or not, we use the factor tree. Think of it like this – when someone Asks for directions on how to get somewhere new there are multiple different instructions; likewise Factor trees show us what paths we could take in order to break larger non-prime numbers down into their smallest possible building blocks which all together make up our original number

**Factor Pairs of 169**

Calculate Pair Factors of

1 x 167=167

So Pair Factors of 167 are

(1,167)

169 being a prime, this combination makes up its sole factor pair: (1,169). So to find out what goes into making 169 so great for dividing purposes all on its own, look no further than those digits themselves.

**Factors of 169 – Quick Recap**

**Factors of 169:** 1, 13 and 169

**Negative Factors of 169:** -1, -13, and -169.

**Prime Factors of 169:** 13 x 13.

**Prime Factorization of 169:** 13 x 13.

**Fun Facts of Factors of 169**

169 is a prime number with only two factors (1 and itself), it’s also a square prime because its square, 289, is also a prime. 169 has multiple special properties even beyond being the 13th Prime; say, it can be divided by the sum of its digits: 1+6+9=16, and 169/16 gives you 10.5 exactly!

Another impressive fact about 169 is if you make a triangle whose side lengths all measure 13 units each – then their combined area would give us exactly 169! Another practical use of 169 is–it’s commonly used as an HDTV resolution which typically measures 1280×720 pixels.

Did you know that London Bus Route #169 proudly holds the record for the longest bus route in London operated by Central Transport? Such an interesting number it is !!

**Examples of Factor 169**

1. If Jack has 13 apples and his friend Mike has the same number of apples, how many apples do they have altogether?

Answer: They would have 26 apples. 13 x 2 = 26

2. What is the greatest common factor (GCF) of 12 and 169?

Answer: The greatest common factor of 12 and 169 is 3 since both 12 and 169 are divisible by 3.

3. How many different combinations can be made using the prime factors of 169?

Answer: There are nine possible combinations using the prime factors of 169: 1,13,169,13×13,13×1,169×1,169×13,13x13x1, and 13×169.

4. Jacques is buying ingredients to make a cake that requires one unit each from 13 boxes containing different ingredients. How many boxes does he need in total?

Answer: He needs 13 boxes in total to get one unit from each box.

5. Chloe has a set of scales that she uses to measure out 4 ounces for each recipe she makes. How many times can she use her scales with the ingredients given in one packet of 169 ounces?

Answer: Chloe can use her scales 42 times with the ingredients given in one packet of 169 ounces because 4 x 42 = 168 and there is one extra ounce left over which Chloe can use separately without having to measure it out with her scales again.

6. How much would it cost to buy two items that cost $13 each after a 20% discount?

Answer: After a 20% discount it would cost $

21.60 for two items that cost $13 each ($26 – 20% = $

20.80; $2080 x 2 = $21.60).

7. What is the remainder when 169 is divided by 14?

Answer: The remainder when 169 is divided by 14 is 5 because 14 goes into 169 twelve times with a remainder of 5 (14 x 12 = 168; 168 + 5 = 173).

8 . Emily has four friends who want to divide up baking tasks equally within their groups of five people including Emily herself –how much of each task will Emily have to do if the sharing scheme is equitable?

Answer: If the sharing scheme is equitable Emily will have to mark up one-fifth or 0.25 of each baking task (1÷5=0.25).

9 . Jenney is buying red paint for a project at the store and the discount is set at 15%, if the price of the can of red paint is $168 what is the total cost after discount?

Answer: After the discount, the total cost of Jenny’s can of red paint would be $14320($168-15%=$142 40;$14240+80=$14320).

10. If Lisa and Philip share a box of chocolates that contains 32 pieces themselves but Lisa wants more than Phillip– how much should Lisa get?

Answer: Lisa should get 18 pieces of chocolates whereas Philip should get 14 pieces since 18+14=32 (32÷2=16; 16+2=18; 16-2=14).

**Looking to Learn Math? Explore Wiingy’s Online Math Tutoring Services to learn from top mathematicians and experts.**

**Frequently Asked Questions**

### What are the factors of 169?

Answer: The factors of 169 are 1,13, 169.

### Is 169 a composite number?

Answer: Yes, 169 is a composite number composed of two different prime numbers,13 and 13.

### How many factors does 169 have?

Answer: 169 has three factors- 1,13 and 139.

### What is the relationship between 168 and 169 in terms of their common factors?

Answer: The common factor between 168 and 169 is thirteen; since thirteen is the highest common factor both numbers share!

### How can you divide 169 items into three containers evenly?

Answer: To divide 169 items into three containers evenly start by calculating 169 divided by 3 which equals 56 items per container. Then split up the remaining items among three containers so that each contains an equal amount – in this case, 57 items per container.

### What two prime numbers make up 169?

The two prime numbers that makeup 169 are 13 and 13 – which when multiplied together give you a result of 169.

### Does every number have four or more factors?

Answer: No – while most numbers have more than four factors some like 37 only have two while others like 169 only have four total- leading to varying amounts depending on what specific number you’re referencing within this category!

Written by

Prerit Jain