Do you recognize that once you main point the two consecutive numbers 10 and 11, you get 110? In this chapter, we will calculate the components of 110, prime factors of 110, and factors the 110 in pairs along with solved examples for a much better understanding.

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Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110Prime factorization of 110: 110 = 2 × 5 × 11 
1.What room the components of 110?
2.How to Calculate determinants of 110?
3.Factors that 110 by element Factorization
4.Factors the 110 in Pairs
5.FAQs on determinants of 110

What are the factors of 110?

Factors that 110 are the number which as soon as multiplied in pairs offer the product as 110. The components of 110 space those number which division it without leaving any type of remainder. So, as soon as you multiply any two entirety numbers through each other and get 110 together the answer, you deserve to say the both this numbers are the factors of 110.Observe the adhering to numbers. You obtain 110 together the product after multiply the given numbers.

1 × 110 = 110

2 × 55 = 110 

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

So, we can say that "The determinants of 110 are all the integers that 110 can be divided into." 

How to calculate the components of 110?

Let"s calculate the factors of 110, starting with the smallest whole number, i.e., 1.Divide 110 with this number. Is the remainder 0?

Yes! So, us get

110/1 = 110

110 × 1 = 110

The next whole number is 2

Now, divide 110 v this number.

110/2 = 55

2 × 55 = 110

Proceeding in a comparable manner we get,

110 = 1 × 110 = 2 × 55 = 5 × 22 = 10 ×11

Finally, we gain all the components of 110 as :

*

Hence, the factors the 110 are 1, 2, 5, 10, 11, 22, 55 and also 110.

Explore factors using illustrations and interactive examples.

Factors that 110 by prime Factorization

"Prime factorization method to refer a composite number as the product of its prime factors". To acquire the element factorization the 110, we division it by its the smallest prime variable which is 2

110/2 = 55

Now, 55 is divided by its the smallest prime factor and the quotient is obtained. This procedure goes ~ above till we get the quotient together 1.

The prime factorization the 110 is presented below:

*

Hence, the prime determinants of 110 are 2, 5, and 11.

Factors the 110 in Pairs

The bag of numbers, which when multiplied provide 110, are known as the variable pairs of 110. Observe the adhering to factors of 110 in pairs.

Product form of 110Pair factors
1 × 110 = 110(1, 110)
2 × 55 = 110(2, 55)
5 × 22 = 110(5, 22)
10 × 11 = 110(10, 11)

As seen in the table offered above, after 10 × 11, there are no new factors. So, that is sufficient to find components till (10,11).

If us consider an adverse integers, then both the number in the pair components will it is in negative. Due to the fact that ( - ve × - ve ) = +ve, we deserve to list the element pairs that 110 as (-1, -110); (-2, -55); (-5, -22), and also (-10, -11). 

Important Notes:

As 110 ends v the digit 0, the will have actually 5 and 10 as its factors. This hold true for all the numbers that finish with 0110 is a non-perfect square number. Thus, the will have actually even number of factors. This residential or commercial property holds true because that every non-perfect square number.

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Example 1: Peter to buy two rectangle-shaped rugs which had various dimensions, yet had the very same area of 110 inches². He wanted his friend Andrew come guess the size of the rugs. Could you help him through the 2 probable pairs other than (1,110) and also (55, 2), the would an outcome in the provided area?

Solution:

Andrew told that (5, 22) and also (10,11) were the two variable pairs of 110 which could be the dimensions of the two rugs. Let united state see how he defined it.Since Area that a rectangle = length × breadthFor the an initial rug,

Area = 22 × 5 = 110 in²

For the 2nd rug,

Area =10 × 11= 110 in²

Hence, the two element pairs space (22, 5) and (10, 11).


Example 2: Robert"s teacher told him that -55 is one of the determinants of 110. Have the right to you aid him find the other factor?

Solution:

110 = element 1 × aspect 2Hence, 110 =(-55) × element 2Factor 2 = 110/(-55) =(-2)Hence, the other factor is -2