# what is the prime factorization of 168 | Top Q&A

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Components of 168

Components of 168 are the numbers that may divide 168 evenly. 168 is a three-digit even quantity, and positively, it has many components, most sequence of that are even. There are 16 components of 168 in description. in fact, because the three digits add ngoc to a a number of of three, 168 can be divisible by 3. On this lesson, we are going to calculate the components of 168, its prime components, and its components together with some examples solved for higher understanding.

• Components of 168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.
• passive Components of 168: -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -56, -84, and -168.
• Prime Factorization of 168: 168 = 23 × 3 × 7

1. What are Components of 168? 2. just like Calculate the Components of 168? 3. Components of 168 by Prime Factorization 4. Difficult Questions 5. Components of 168 in Pairs 6. essential papers 7. FAQs on Components of 168

## What are Components of 168?

Components of 168 are the numbers that divide it utterly and provides the rest as 0. While you multiply any two pure numbers with one another and get 168 as the reply, you possibly can say that each numbers would be the components of 168. time period, you will get 168 as a solution with the next numbers:

Studying: what’s the prime factorization of 168

• 1 × 168 = 168
• 2 × 84 = 168
• 3 × 56 = 168
• 4 × 42 = 168
• 6 × 28 = 168
• 7 × 24 = 168
• 8 × 21 = 168
• 2 × 14 = 168

This may be continued till you attain 168 × 1 = 168. Thus, in total, we will say that the components of 168 are description the integers that divide 168 with out leaving any the rest.

## just like Calculate the Components of 168?

Let’s start calculating the components of 168, beginning with the smallest pure quantity, information 1. Divide 168 with this quantity. Is the rest 0? Sure! so, we are going to get:

• 168÷ 1 = 168
• 168 × 1 = 168

The following pure quantity is 2. Now, divide 168 with 2.

• 168 2 = 84
• 84 × 2 = 168

Continuing in an analogous method, we get:

• 1 × 168 = 168
• 2 × 84 = 168
• 3 × 56 = 168
• 4 × 42 = 168
• 6 × 28 = 168
• 7 × 24 = 168
• 8 × 21 = 168
• 12 × 14 = 168

Prime factorization means to specific a composite quantity because the product of its prime components.

### Prime Factorization by Division

• Step 1: To get the prime factorization of 168, we divide it by its smallest prime issue which is 2 information 168 ÷ 2 = 84
• Step 2: Now, 84 is split by its smallest prime issue and the quotient is obtained.
• Step 3: This course of is repeated until we get the quotient as 1.

### Prime Factorization by Issue Tree

We will do the identical process utilizing the issue tree as proven within the diagram given under: ### Prime Factorization by Upside-Down Division

The prime factorization of 168 is proven under: Allow us to categorical 168 by way of the product of its prime components as 2 × 2 × 2 × 3 × 7. Q: Now that we have now accomplished the prime factorization of our quantity, we will multiply the numbers and get the opposite components. Are you able to attempt to discover out suppose description the components are lined or not? A: As you might have already guessed, for prime numbers, there aren’t any different components. Discover components utilizing illustrations and interactive examples:

• Components of 36 – The components of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
• Components of 24 – The components of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
• Components of 15 – The components of 15 are 1, 3, 5, and 15.
• Components of 45 – The components of 45 are 1, 3, 5, 9, 15, and 45.
• Components of 72 – The components of 72 are 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, and 72.
• Components of 48 – The components of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

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Difficult Questions:

• Decide one pair different numbers which have solely a one-factor pair.
• Can multiples of 168 even be components of 168?

## Components of 168 in Pairs

The pairs of numbers which give 168 when multiplied are often called the issue pairs of 168. The next are the components of 168 in pairs:

Product working of 168

Pair issue

1 × 168 = 168

(1,168)

2 × 84 = 168

(2, 84)

3 × 56 = 168

(3, 56)

4 × 42 = 168

(4, 42)

6 × 28 = 168

(6, 28)

7 × 24 = 168

(7, 24)

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8 × 21 = 168

(8, 21)

12 × 14 = 168

(12, 14)

14 × 12 = 168

(14,12)

21 × 8 = 168

(21, 8)

You may observe within the desk above, after 12 × 14, the components take warfare repeating, besides that they seem in a distinct order. so, it is sufficient to discover components till (12, 14)

Pairs of things of 168 are: (1, 168), (2, 84), (3, 56), (4, 42), (6, 28), (7, 24), (8, 21) and (12, 14). Let’s check out the passive pair components of 168.

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• suppose we contemplate passive integers, each the numbers within the pair components will likely be passive.
• It’s potential to have passive pair components as properly as a result of the product of two passive numbers offers a optimistic quantity.
• Thus, we will have issue pairs of 168 as (-1,-168), (-2, -84), (-3, -56), (-4, -42), (-6, -28), (-7, -24), (- 8, -21) and (-12, -14).
• The smallest issue of 168 is 1 and the most important issue of 168 would be the quantity itself, information 168.
• Fractions and decimals not possible be components. Solely integers (optimistic or passive) might be components.
• Components of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.