Did you understand from the number 132, if you take it the sum of all the 2-digit numbers, you get 12 + 13 + 21 + 23 + 31 + 32 = 132 making the the smallest number amongst 264, 396, and 35964 with this property? In this lesson, we will find the components of 132, prime components of 132, and also factors the 132 in pairs together with solved instances for a better understanding.

You are watching: What is the prime factorization of 132

Factors of 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132Prime administer of 132: 132 = 2 × 2 × 3 × 11
 1 What are the components of 132? 2 How to Calculate factors of 132? 3 Factors of 132 by prime Factorization 4 Factors that 132 in Pairs 5 FAQs on factors of 132

## What are the factors of 132?

Factors that a number are the number that division the offered number exactly without any remainder. Components of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and also 132.So,132 is a composite number as it has an ext factors other than 1 and itself.

## How to calculation the factors of 132?

We have the right to use various methods like divisibility test, prime factorization, and the upside-down department method to calculation the factors of 132. We express 132 as a product the its prime determinants in the prime factorization technique as well as we division 132 with its divisors in the division method. Let united state see which numbers divide 132 exactly there is no a remainder.

Hence, the factors that 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and also 132.

Explore factors using illustrations and interactive examples.

## Factors that 132 by prime Factorization

We deserve to do prime factorization of any number by:

Upside-down division methodFactor tree method

### Prime administer by department Method

The upside-down division got that name since the department symbol is flipped upside down.

STEP 1: By utilizing divisibility rules, we discover out the smallest exact prime divisor (factor) the the given number. Here, 132 is an even number. So the is divisible by 2. In other words, 2 divides 132 with no remainder. Therefore 2 is the the smallest prime variable of 132.STEP 2: We divide the offered number through its smallest element other 보다 1 (prime factor), 132/2 = 66STEP 3: us then uncover the prime factors of the obtained quotient.Repeat step 1 and also Step 2 it spins we gain a element number together a quotient. In the last step, 33 is the quotient, 33/3= 11. 11 is the quotient here, for this reason we avoid the process as 11 is a element number. Therefore 132 = 2 × 2 × 3 × 11.

### Prime administer by aspect Tree Method

First, we identify the 2 factors that provide 132. 132 is the root of this factor tree.

132 = 2 × 66

Here, 66 is an even composite number, for this reason it can be additional factorized.

66 = 2 × 66

We proceed this procedure until we are left with only prime numbers, i.e., till us cannot further aspect the derived numbers. Basically, us branch out 132 into its prime factors. Element tree is not unique for a provided number.

Instead of expressing 132 as 2 × 66, we can express 132 as 4 × 33 or 3 × 44

Here is a an easy activity to shot it on your own, rather of 2 × 66, if we had supplied 3 × 44, perform you think us will acquire the same factor tree?

Can you draw the factor tree v 3 and 44 as the branches?

## Factors that 132 in Pairs

Factor pairs space the two numbers that, once multiplied, give the number 132.

Factor bag of 132Notation
1 ×132(1, 132)
2 × 66(2, 66)
3 × 44(3, 44)
4 × 33(4, 33)
6 × 22(6, 22)
11 × 12(11, 12)
Therefore, factors of 132 in bag are (1, 132), (2, 66), (3, 44), (4, 33), (6, 22), and (11, 12).We have the right to have negative factors also for a offered number.As the product of two negative numbers is optimistic (- × - = +), therefore (-1, -132), (-2, -66), and also (-3, -44), etc., are likewise factor pairs of 132

But, because that now, permit us focus on the positive determinants in this article. V factors, us are only looking for totality numbers that room equal to or much less than the initial number.

Important Notes:

132 is composite number with components 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132It have the right to be expressed together the product of two consecutive numbers: 132 = 11 × 12Prime administrate of 132: 2 × 2 × 3 × 11

Think Tank:

At a jamboree, there space 132 girl guides and 150 boy scouts. The leaders desire to make teams of 12 for the raft race. Every team must have actually the same variety of boys and girls. Can this it is in done? How?

Example 1: Huia provides 132 bran biscuits for the college gala. She wants to placed them in packets that each have actually the same variety of biscuits, yet she no want any type of left over. What number of equal packets can Huia do up?

Solution:

We need to find different feasible ways that packing.Total number of biscuits = number of packets × number of biscuits in every packetHence, 132 = ns × bFor that, we have to list the end the aspect pairs that 132

132 = 1 × 132, i.e, 132 packets with 1 biscuit in each.

132 = 2 × 66, i.e, 66 packets with 2 biscuits in each.

132 = 3 × 44, i.e, 44 packets v 3 biscuits in each.

132 = 4 × 33, i.e, 33 packets v 4 biscuits in each.

132 = 6 × 22, i.e, 22 packets with 6 biscuits in each.

132 = 11 × 12, i.e, 12 packets through 11 biscuits in each.

See more: “ I Just Can T Do It Captain !, I Just Can'T Do It Captain!

This would work-related the other means round too, favor 11 packets v 12 biscuits in each. Hence, there room 12 ways of packing possible.