Factors that 84 space integers that can be split evenly into 84. The has total 12 factors of which 84 is the best factor and the prime determinants of 84 room 2, 3 and 7. The prime Factorization the 84 is 22 × 3 × 7.

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

What space the factors of 84?

Factors that a given number space the number which division the given number precisely without any remainder.Hence, the components of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

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

How to calculation the components of 84?

Various methods such as prime factorization and the department method have the right to be used to calculate the factors of 84. In prime factorization, we express 84 as a product that its prime factors and in the department method, we watch what numbers divide 84 exactly there is no a remainder.

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

Explore factors using illustrations and interactive examples.

Factors of 84 by element Factorization

Prime factorization means expressing a number in terms of the product the its element factors. We can do usage the department method or aspect tree to perform this.

1. Prime Factorization by department method

The number 84 is separated 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 the smallest or second smallest prime number and the procedure continues till the quotient i do not care indivisible.

Since 84 is even, it will be divisible by 2.Let united state divide 84 by the element number 2

84 ÷ 2 = 42

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

42 ÷ 2 = 21

Now, 21 is an odd number. So that won"t be divisible through 2. Let"s inspect the next prime number i.e. 3

21 ÷ 3 =7

7 is a prime number. So, it"s not additional divisible.

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

2. Element Factorization by element Tree

The other method of element factorization as taking 84 as the root, we produce branches by separating it by prime numbers. This method is comparable to above department method. The distinction lies in presenting the factorization.The figure below shows the variable tree the 84. The composite numbers will have actually branches as they are more divisible. We continue making branches till we room left with just prime numbers.

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The numbers within the circles room the prime factors of 84

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

Factors the 84 in Pairs

The factor pairs of a number are the 2 numbers which, once multiplied, give the required number.Considering the number 84, us have

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

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

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The product that two an adverse numbers likewise 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 short article will it is in on the hopeful factors.

Important Notes:

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

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

Solution:

To uncover the least variety of boxes such the we can cookies and also brownies same in those boxes, we need to discover the GCF (Gretest typical Factor) of 40 and 84

The components 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 also 84

Common determinants 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 pieces of cloth. The an initial one is 90 inches broad and the 2nd one is 84 inch wide. She wants to reduced the 2 pieces right into equal width so that they are as broad as possible. What width have to she take into consideration for this?

Solution:

As we require to cut both size clothing into maximum equal width, we space going to uncover GCF (90,84)

The determinants 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 84

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


 

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FAQs on components of 84

What are the factors of 84?

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

What space the Prime components of 84?

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

How numerous Factors that 84 are additionally common come the factors of 44?

Since, the determinants 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 that 84 and 44.

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What is the sum of every the components of 84?

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

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

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