Factors that 84 space the number that division the initial number evenly. Because that example, 2 is the factor of 84, due to the fact that 84 divided by 2 is equal to 42. Pair components are the number which once multiplied in pairs provide the initial number. For example, 2 and also 42 room pair factors. Let us discover to uncover these factors and also pair factors together with prime factors.

## Pair components of 84

We can discover the aspect pairs, by multiplying 2 numbers in a pair to obtain the original number together 84, together as;

1 × 84 = 84

2 × 42 = 84

3 × 28 = 84

4 × 21 = 84

6 × 14 = 84

7 × 12 = 84

Therefore, the aspect pairs room (1, 84), (2, 42), (3, 28), (4, 21), (6, 14) and (7, 12). Thus, v this we deserve to evaluate the unique components of number 84 as offered below;

Factors the 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

We can also write the an unfavorable pair determinants of 84 due to the fact that after multiplying the two an unfavorable factors, us will obtain the optimistic value.

You are watching: Find the prime factorization of 84

(-1) × (-84) = 84

(-2) × (-42) = 84

(-3) × (-28) = 84

(-4) × (-21) = 84

(-6) × (-14) = 84

(-7) × (-12) = 84

Therefore, the an unfavorable pair components are (-1, -84), (-2, -42), (-3, -28), (-4, -21), (-6, -14) and (-7, -12).

## How to calculation the determinants of 84?

To discover the factors, we should divide the initial number v all the natural numbers it spins we obtain the worth of the quotient equal to 1.

84 ÷ 1 = 8484 ÷ 2 = 4284 ÷ 3 = 2884 ÷ 4 = 2184 ÷ 6 = 1484 ÷ 7 = 1284 ÷ 12 = 784 ÷ 14 = 684 ÷ 21 = 484 ÷ 28 = 384 ÷ 42 = 284 ÷ 84 = 1

Therefore, the required factors are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

### Prime Factorisation that 84

84 is a composite number, so the prime components of 84 deserve to be discovered using the below steps.

The first step is to division the number 84 v the the smallest prime factor, i.e. 2.

84 ÷ 2 = 42

Again, divide 42 by 2.

42 ÷ 2 = 21

Now, if we divide 21 by 2 we obtain a fraction number, which cannot be a factor.

Now, proceed to the next prime numbers, i.e. 3, 5, 7 and also so on.

21 ÷ 3 = 7

7 ÷ 3 = 2.33, not a factor

move to following prime number, 5.

Dividing 7 by 5 again offers a fraction value.

7 ÷ 5 = 1.4, no a factor

relocate to next prime number 7.

Dividing 7 by 7 us get,

7 ÷ 7 = 1

We have actually received 1 at the end and further, we cannot proceed with the division. So, the prime factorisation of 84 is 2 × 2 × 3 × 7 or 22 × 3 × 7, wherein 2, 3 and also 7 are the prime numbers.

## Solved Examples

Q.1: If Rhea has 84 apples and also he has to distribute those to 7 members of the house, consisting of her, then how many apples every of the members get?

Solution: variety of apples, Rhea has = 84

Members in the residence including Rhea = 7

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

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