169 is the perfect square of one odd number 13, i beg your pardon is a prime number as well. 169 is among the few squares because that the turning back equation is likewise true i.e. 31 x 31 = 961. Factors that 169 are the number which when multiplied in pairs give the product together 169. These components can be an unfavorable as well. 169 is an even composite number, which way that it has several factors. In this lesson, we will calculate the components of 169, prime determinants of 169, and also factors the 169 in pairs in addition to solved examples for a far better understanding.

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

What are the components of 169?

The element of a number is the number that divides it fully without leaving any type of remainder.Therefore, to uncover the factors of the number 169, us will need to perform division on 169 and also find the numbers which divide 169 completely.

How to calculation the factors of 169?

To calculation the factors of 169, we require to uncover all the number that would certainly divide 169 without leaving any kind of remainder. We begin with the number 1, then check for number 2,3,4,5,6,7, and so on approximately 85, (the approximate half of 169). The number 1 and also the number chin would always be a aspect of a given number.

Refer to the following table to inspect the division of 169 by 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 more than 2 factors.169 is a perfect square number. Thus, it will have an odd number of factors. This home holds true because that every perfect square number.

Factors that 169 by element Factorization

Prime administer of a number describes breaking down a number into the type of assets of its prime factors. There are various methods that deserve to be used to discover the components of 169 by prime factorization.

Division Method

To discover the prime components of 169 using the division method,

After recognize the smallest prime element of the number 169, i m sorry is 13, divide 169 through 13 to achieve the quotient 13. 169 ÷ 13 = 13Repeat the an initial step v the obtained quotient (13). Again, the prime factor for 13 would it is in 13. 13 ÷ 13 = 1

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

Factor Tree Method

We have the right to do the same procedure utilizing the factor tree the 169 as displayed in the diagram offered below.

So, the prime factorization of 169 is 13 × 13.

Now the we have actually done the element factorization of ours number, we deserve to multiply them and also get the various other factors. Deserve to you try and find out if all the determinants are spanned or not? and also as you could have already guessed it, because that prime numbers, there are no other factors.

Factors of 169 in pairs

Pair components are the components of a number offered in pairs, which as soon as multiplied together give that original number. The pair components of 169 would be the 2 numbers which as soon as multiplied together, result in the value 169

The adhering to table represents the calculation of determinants 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 components of 169 deserve to be noted as (1, 169) and (13, 13).

Solved instances on factors the 169

Example 1 Calculate the amount of every the components of 169.

Solution

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

Example 2 What space the usual factors the 169 and 196?

Solution

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

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FAQs on components of 169

1.What are the components of 169?

The determinants of 169 are 1, 13, and 169.

2.What is the highest element of 169?

The highest aspect of 169 is 169.

3.What room the typical factors that 169 and also 182?

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

4.Is 169 a element number?

No, 169 is no a prime number. It is a composite number because it has much more than 2 factors: 1, 13, and also 169 (the number itself).

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5.Is 169 a perfect square?

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