Factors that 84 space integers that deserve to be separated evenly right into 84. That has full 12 determinants of i m sorry 84 is the greatest factor and also the prime determinants of 84 space 2, 3 and 7. The prime Factorization that 84 is 22 × 3 × 7.

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

What are the determinants of 84?

Factors of a given number space the numbers which divide the given number specifically without any type of remainder.Hence, the determinants 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 factors (except 84).1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 = 140So, 84 is recognized as an plentiful number.

How to calculate the determinants of 84?

Various methods such together prime factorization and also the division method have the right to be used to calculation the factors of 84. In prime factorization, we express 84 as a product of its prime factors and in the division method, we check out what numbers division 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 84.

Explore determinants using illustrations and also interactive examples.

Factors of 84 by prime Factorization

Prime factorization means expressing a number in terms of the product the its element factors. We deserve to do usage the division method or aspect tree to carry out this.

1. Element Factorization by division method

The number 84 is divided by the the smallest prime number i beg your pardon divides 84 exactly, i.e. It pipeline a remainder 0. The quotient is then separated by the the smallest or 2nd smallest element number and the procedure continues it rotates the quotient becomes 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 an odd number. So it won\"t it is in divisible by 2. Let\"s check the next prime number i.e. 3

21 ÷ 3 =7

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

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

2. Prime Factorization by variable Tree

The other method of prime factorization as acquisition 84 as the root, we develop branches by splitting it by prime numbers. This method 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 number will have actually branches as they are more divisible. We continue making branches it rotates we are left with only prime numbers.

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The numbers inside the circles space the prime determinants of 84

Now that we have done the prime factorization of ours number, we deserve to multiply them and get the various other factors. Have the right to you try and discover out if all the factors are extended or not? and as you might have already guessed it, because that prime numbers, there are no various other factors.

Factors the 84 in Pairs

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

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The product the 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 additionally factor bag of 84.Our emphasis in this post will it is in on the optimistic factors.

Important Notes:

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

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

Solution:

To find the least number of boxes such the we can cookies and also brownies same in those boxes, we need to uncover the GCF (Gretest typical Factor) that 40 and 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 factors of 40 and 84 = 1, 2, 4

So, GCF (40, 84) = 4

Hence, the least number of boxes forced is 4


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

Solution:

As we need to reduced both size garments into maximum equal width, we room going to uncover GCF (90,84)

The components of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90The factors 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. Out of these, 6 is greatest.Hence, she should think about to reduced both the pieces right into a width of 6 inches.


 

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FAQs on determinants of 84

What space the components of 84?

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

What are the Prime components of 84?

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

How countless Factors the 84 are likewise common come the determinants of 44?

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

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What is the sum of every the factors of 84?

Sum of all factors 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 also 72?

The components of 84 and also 72 are 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 also 72 space <1, 2, 3, 4, 6, 12>.Hence, the Greatest typical Factor of 84 and 72 is 12.