Factors that 84 room integers that have the right to be divided evenly right into 84. It has total 12 factors of i m sorry 84 is the greatest factor and the prime factors of 84 are 2, 3 and 7. The prime Factorization the 84 is 22 × 3 × 7.

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Factors the 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and also 84Negative factors of 84: -1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42 and -84Prime components of 84: 2, 3, 7Prime factorization of 84: 2 × 2 × 3 × 7 = 22 × 3 × 7Sum of determinants of 84: 224
1.What space the components of 84?
2.How come Calculate factors of 84?
3.Factors the 84 by element Factorization
4.Factors the 84 in Pairs
5.Important Notes
6.FAQs on determinants of 84

What space the factors of 84?

Factors of a given number room the number which divide the provided number specifically without any type of remainder.Hence, the factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and also 84.

84 is strictly smaller than the amount of its components (except 84).1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 = 140So, 84 is known as an plentiful number.

How to calculate the factors of 84?

Various methods such as prime factorization and also the division method deserve to be used to calculation the components of 84. In element factorization, we express 84 as a product of its prime factors and also in the department method, we watch what numbers division 84 exactly without a remainder.

Hence, the factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

Explore components using illustrations and also interactive examples.

Factors of 84 by element Factorization

Prime factorization method expressing a number in terms of the product the its element factors. We have the right to do use the division method or variable tree to execute this.

1. Prime Factorization by department method

The number 84 is divided by the smallest prime number i m sorry divides 84 exactly, i.e. It leaves a remainder 0. The quotient is then divided by the smallest or 2nd smallest element number and also the process continues till the quotient i do not care indivisible.

Since 84 is even, it will be divisible by 2.Let us divide 84 by the prime number 2

84 ÷ 2 = 42

42 is again even, let"s again division by 2

42 ÷ 2 = 21

Now, 21 is an odd number. So that won"t be divisible by 2. Let"s examine the following prime number i.e. 3

21 ÷ 3 =7

7 is a element number. So, it"s not more divisible.

Prime administrate of 84 = 2 × 2 × 3 × 7

2. Prime Factorization by variable Tree

The other way of prime factorization as acquisition 84 as the root, we produce branches by separating it by prime numbers. This an approach is similar to above department method. The distinction lies in presenting the factorization.The figure listed below shows the variable tree of 84. The composite numbers will have actually branches as they are additional divisible. We proceed making branches till we are left with just prime numbers.

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The numbers inside the circles are the prime determinants of 84

Now that we have done the element factorization of ours number, we have the right to multiply them and get the other factors. Can you shot and discover out if all the components are spanned or not? and also as you can have currently guessed it, because that prime numbers, there space no various other factors.

Factors that 84 in Pairs

The variable pairs the a number are the 2 numbers which, as soon as multiplied, give the compelled number.Considering the number 84, we have

 1 × 84 = 84 2 × 42 = 84 3 × 28 = 84 4 × 21 = 84 6 × 14 = 84 7 × 12 = 84

So, the element pairs that 84 are : (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)

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The product the two an adverse numbers also results in a positive number i.e. (-ve) × (-ve) = (+ve).So, (-1, -84), (-2, -42), (-3, -28), (-4, -21), (-6, -14), (-7, -12). are also factor bag of 84.Our focus in this write-up will be on the optimistic factors.

Important Notes:

Every number has actually a finite number of factorsThe determinants of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84As 84 is strictly smaller than the sum of its determinants (leaving 84), it is called an plentiful number.

Example 2: It"s time for a Christmas Party! Jennifer baked 40 brownies and 84 cookies for her guests. She desires to fill them in box such that each box has equal number of brownies and cookies. What is the least number of boxes she would require for this?

Solution:

To find the least variety of boxes such that we have the right to cookies and also brownies equally in those boxes, we require to discover the GCF (Gretest typical Factor) of 40 and 84

The determinants of 40 are 1, 2, 4, 5, 8, 10, 20 and 40The determinants of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

Common factors of 40 and also 84 = 1, 2, 4

So, GCF (40, 84) = 4

Hence, the least number of boxes required is 4


Example 3: Julia has two piece of cloth. The first one is 90 inches wide and the 2nd one is 84 inches wide. She desires to cut the 2 pieces into equal broad so that they are as wide as possible. What width must she think about for this?

Solution:

As we require to reduced both size apparel into maximum equal width, we are going to discover GCF (90,84)

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90The components of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and also 84

The common factors the 90, 84 are 1, 2, 3, and 6. The end of these, 6 is greatest.Hence, she should think about to cut both the pieces right into a width of 6 inches.


 

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FAQs on components of 84

What are the determinants of 84?

The factors of 84 room 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 and its negative factors space -1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42, -84.

What space the Prime components of 84?

The prime components of 84 are 2, 3, 7.

How many Factors that 84 are additionally common to the components of 44?

Since, the factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 and also the components of 44 space 1, 2, 4, 11, 22, 44.Hence, <1, 2, 4> space the common factors of 84 and 44.

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What is the sum of every the components of 84?

Sum the all components of 84 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (71 + 1 - 1)/(7 - 1) = 224

What is the Greatest usual Factor the 84 and also 72?

The factors of 84 and also 72 room 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 respectively.Common components of 84 and 72 are <1, 2, 3, 4, 6, 12>.Hence, the Greatest usual Factor of 84 and 72 is 12.