Factors the 84 space integers that can be divided evenly right into 84. It has complete 12 components of i beg your pardon 84 is the greatest factor and the prime components of 84 space 2, 3 and 7. The prime Factorization that 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 factors of 84: 2, 3, 7Prime factorization of 84: 2 × 2 × 3 × 7 = 22 × 3 × 7Sum of components of 84: 224
1.What are the components of 84?
2.How to Calculate components of 84?
3.Factors of 84 by prime Factorization
4.Factors of 84 in Pairs
5.Important Notes
6.FAQs on factors of 84

What are the factors of 84?

Factors the a given number are the numbers which divide the offered number precisely without any kind of remainder.Hence, the determinants 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 factors (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 have the right to be used to calculate the components of 84. In element factorization, we express 84 as a product of its element factors and in the division method, we view what numbers divide 84 exactly there is no a remainder.

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

Explore components using illustrations and interactive examples.

Factors of 84 by prime Factorization

Prime factorization way expressing a number in regards to the product of its element factors. We can do usage the department method or factor tree to carry out this.

1. Element Factorization by division method

The number 84 is separated by the smallest prime number which divides 84 exactly, i.e. It leaves a remainder 0. The quotient is then split by the the smallest or 2nd smallest element number and the process continues it spins the quotient i do not care indivisible.

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

84 ÷ 2 = 42

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

42 ÷ 2 = 21

Now, 21 is one odd number. So it won"t be divisible by 2. Let"s check the following prime number i.e. 3

21 ÷ 3 =7

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

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

2. Prime Factorization by element Tree

The other means of prime factorization as taking 84 as the root, we produce branches by dividing it by prime numbers. This technique is comparable to above department method. The distinction lies in presenting the factorization.The figure listed below shows the factor tree the 84. The composite numbers will have actually branches as they are further divisible. We continue making branches it rotates we room left with just prime numbers.

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The numbers within the circles are the prime factors of 84

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

Factors that 84 in Pairs

The factor pairs the a number are the two numbers which, when multiplied, provide the forced 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 factor pairs that 84 are : (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)

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The product that two negative 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 likewise factor pairs of 84.Our emphasis in this article will be on the hopeful factors.

Important Notes:

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

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

Solution:

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

The determinants of 40 are 1, 2, 4, 5, 8, 10, 20 and 40The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 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 actually two pieces of cloth. The first one is 90 inches large and the second one is 84 inches wide. She desires to reduced the two pieces into equal width so that they are as vast as possible. What width need to she take into consideration for this?

Solution:

As we need to cut both size garments into maximum equal width, we are going to discover GCF (90,84)

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

The common factors of 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 into a broad of 6 inches.


 

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FAQs on factors of 84

What room the determinants of 84?

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

What room the Prime components of 84?

The prime factors of 84 space 2, 3, 7.

How countless Factors of 84 are additionally common to the factors of 44?

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

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What is the sum of every the factors of 84?

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

What is the Greatest common Factor that 84 and 72?

The factors of 84 and 72 space 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 determinants of 84 and 72 room <1, 2, 3, 4, 6, 12>.Hence, the Greatest typical Factor of 84 and 72 is 12.