What Times What Equals 84

Factors of 84 are the numbers that divide the original number evenly. For example, ii is the factor of 84, since 84 divided by 2 is equal to 42. Pair factors are the numbers which when multiplied in pairs requite the original number. For example, 2 and 42 are pair factors. Permit us learn to find these factors and pair factors forth with prime factors.

Factors of 84

Pair Factors of 84

We can find the gene pairs, past multiplying 2 numbers in a pair to get the original number every bit 84, such every bit;

1 × 84 = 84

2 × 42 = 84

iii × 28 = 84

four × 21 = 84

6 × xiv = 84

7 × 12 = 84

Therefore, the factor pairs are (ane, 84), (2, 42), (3, 28), (4, 21), (six, xiv) and (7, 12). Thus, with this we tin evaluate the unique factors of number 84 as given beneath;

Factors of 84 : ane, 2, 3, four, half dozen, seven, 12, xiv, 21, 28, 42 and 84

Nosotros tin can besides write the negative pair factors of 84 since after multiplying the ii negative factors, we will go the positive value.

(-i) × (-84) = 84

(-2) × (-42) = 84

(-iii) × (-28) = 84

(-4) × (-21) = 84

(-6) × (-fourteen) = 84

(-seven) × (-12) = 84

Therefore, the negative pair factors are (-1, -84), (-ii, -42), (-3, -28), (-4, -21), (-half-dozen, -fourteen) and (-vii, -12).

How to Calculate the Factors of 84?

To find the factors, we need to divide the original number with all the natural numbers till we get the value of the quotient equal to i.

84 ÷ 1 = 84
84 ÷ 2 = 42
84 ÷ three = 28
84 ÷ 4 = 21
84 ÷ half dozen = fourteen
84 ÷ 7 = 12
84 ÷ 12 = 7
84 ÷ xiv = half-dozen
84 ÷ 21 = 4
84 ÷ 28 = 3
84 ÷ 42 = 2
84 ÷ 84 = ane

Therefore, the required factors are: i, ii, three, 4, 6, vii, 12, 14, 21, 28, 42 and 84.

Prime Factorisation of 84

84 is a composite number, so the prime factors of 84 tin can be found using the below steps.

The first step is to divide the number 84 with the smallest prime number factor, i.e. two.

84 ÷ 2 = 42

Again, divide 42 by 2.

42 ÷ ii = 21

Now, if we dissever 21 by ii we get a fraction number, which cannot be a cistron.

Now, continue to the next prime numbers, i.e. iii, 5, 7 and so on.

21 ÷ 3 = seven

7 ÷ three = 2.33, not a factor

Move to side by side prime number, five.

Dividing 7 by five again gives a fraction value.

7 ÷ 5 = 1.4, not a factor

Move to side by side prime number number 7.

Dividing 7 past vii we get,

7 ÷ 7 = 1

We take received 1 at the end and further, we cannot go along with the sectionalisation. So, the prime factorisation of 84 is two × 2 × 3 × vii or 2² × iii × 7 , where 2, 3 and seven are the prime numbers.

Video Lesson on Prime number Factors

Solved Examples

Q.i: If Rhea has 84 apples and he has to distribute those to 7 members of the business firm, including her, then how many apples each of the members get?

Solution: Number of apples, Rhea has = 84

Members in the firm including Rhea = 7

Therefore, each member will get = 84/7 = 12 apples.

Q.2: What are the factors of 84 and 114?

Answer:

Factors of 84 = 1, 2, three, iv, six, vii, 12, 14, 21, 28, 42, 84

Factors of 114 = 1, 2, 3, half-dozen, 19, 38, 57, 114

Common factors of 84 and 114 = 1,2,3 and 6.

Acquire more nigh factors and prime factors at BYJU'Due south and also download BYJU'S – The Learning App for a meliorate experience in learning new concepts.

Frequently Asked Questions – FAQs

What are the factors of 84?

The factors of number 84 are 1, 2, three, 4, six, 7, 12, fourteen, 21, 28, 42 and 84.

Factors and Multiples of 84 are the aforementioned. Truthful or False?

False. Factors and multiples of 84 are different and not the same.

What are the multiples of 84 in Maths?

The multiples of 84 are 84 168 252 336 420 504 588 672 756 and 840.

What are the common factors of 98 and 84?

Factors of 84 = 1, 2, 3, 4, vi, 7, 12, 14, 21, 28, 42, 84
Factors of 98 = 1, two, 7, 14, 49, 98
Common factors of 98 and 84 = 1, 2, seven and 14.

What is the greatest prime cistron of 84?

The prime factorisation of 84 is 2 × 2 × 3 × seven. Therefore, the greatest prime cistron is seven.

Links Related to Factors
Factors of 64	Factor of 36
Factors of 48	Factors of xviii
Factors of 24	Factors of 25
Factors of 42	Factors of threescore
Factors of 35	Factors of 81
Factors of 75	Factors of 56