169 is the perfect square of one odd number 13, i m sorry is a prime number as well. 169 is among the couple of squares because that the turning back equation is likewise true i.e. 31 x 31 = 961. Factors that 169 room the number which as soon as multiplied in pairs give the product as 169. These determinants can be an unfavorable as well. 169 is an also composite number, which method that it has several factors. In this lesson, we will certainly calculate the factors of 169, prime components of 169, and factors of 169 in pairs along with solved examples for a better understanding.

You are watching: What are the factors of 169

Factors of 169: 1, 13 and also 169Prime Factorization of 169: 13 × 13
 1 What room the factors of 169? 2 How come Calculate components of 169? 3 Factors the 169 by element Factorization 4 Factors the 169 in Pairs 5 FAQs on determinants of 169

## What are the components of 169?

The aspect of a number is the number that divides it completely without leaving any kind of remainder.Therefore, to discover the determinants of the number 169, us will need to perform division on 169 and find the numbers which division 169 completely.

## How to calculate the components of 169?

To calculate the factors of 169, we need to find all the number that would divide 169 without leaving any type of remainder. We start with the number 1, then check for number 2,3,4,5,6,7, and so on approximately 85, (the approximate half the 169). The number 1 and also the number chin would always be a factor of a provided number.

Refer come the complying with table to inspect the department of 169 through its factors:

DivisionFactor
169 ÷ 1

Remainder = 0

Factor = 1

169 ÷ 13

Remainder = 0

Factor = 13

169 ÷ 169

Remainder = 0

Factor = 169

Important Notes

Only composite numbers have the right to have an ext than two factors.169 is a perfect square number. Thus, the will have actually an odd number of factors. This residential property holds true because that every perfect square number.

## Factors of 169 by element Factorization

Prime administer of a number describes breaking under a number into the type of commodities of its element factors. Over there are different methods that have the right to be supplied to discover the factors of 169 by prime factorization.

### Division Method

To find the prime determinants of 169 making use of the department method,

After recognize the the smallest prime element of the number 169, i m sorry is 13, divide 169 by 13 to attain the quotient 13. 169 ÷ 13 = 13Repeat the very first step v the obtained quotient (13). Again, the prime variable for 13 would be 13. 13 ÷ 13 = 1

So, the element factorization that 169 is 13 × 13 = 132

### Factor Tree Method

We have the right to do the very same procedure using the factor tree the 169 as presented in the diagram offered below. So, the prime administer of 169 is 13 × 13.

Now that we have actually done the prime factorization of our number, we can multiply them and also get the various other factors. Have the right to you try and uncover out if every the components are covered or not? and as you might have already guessed it, for prime numbers, there are no various other factors.

## Factors of 169 in pairs

Pair determinants are the factors of a number given in pairs, which as soon as multiplied together provide that original number. The pair components of 169 would be the two numbers which once multiplied together, result in the value 169

The complying with table represents the calculation of factors of 169 in pairs:

Factor Pair Pair Factorization
1 and also 169

1 × 169 = 169

13 and also 13

13 × 13 = 169

Therefore, the pair determinants of 169 have the right to be provided as (1, 169) and (13, 13).

## Solved examples on factors that 169

Example 1 Calculate the sum of every the determinants of 169.

Solution

We know,The determinants of 169 = 1, 13, 169Thus,The amount of all the components = 1 + 13 + 169 = 183

Example 2 What space the common factors that 169 and 196?

Solution

We know that,Factors that 169 = 1, 13, 169Factors that 196 = 1, 2, 4, 7, 14, 28, 49, 98, 196Thus, the typical factor of 169 and 196 is 1.

View more >

go to slidego to slide Breakdown tough principles through simple visuals.
Math will no longer be a challenging subject, particularly when you recognize the principles through visualizations.

Book a free Trial Class

## Interactive Questions

Check prize >

go come slidego come slidego to slide

## FAQs on components of 169

### 1.What room the components of 169?

The factors of 169 room 1, 13, and 169.

### 2.What is the highest element of 169?

The highest factor of 169 is 169.

### 3.What room the common factors the 169 and also 182?

The common factors that 169 and 182 are 1 and also 13.

### 4.Is 169 a element number?

No, 169 is not a element number. The is a composite number due to the fact that it has much more than 2 factors: 1, 13, and 169 (the number itself).

See more: What Is The Another Name For A Homogeneous Mixture ? What Is Another Name For A Homogeneous Mixture

### 5.Is 169 a perfect square?

The square root of 169 is 13. Hence 169 is a perfect square.