# what is the prime factorization of 132

Factor 132 Do you know from the number 132, if the sum of all the 2 digit numbers is 12 + 13 + 21 + 23 + 31 + 32 = 132, make it the smallest of the 264 numbers, 396 and 35964 with this property? In this lesson, we will find the factor of 132, the prime factor of 132 and the factor of 132 in pairs along with solved examples for better understanding.

**Factor 132:**1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 and 132**Prime factor of 132:**132 = 2 × 2 × 3 × 11

1. What is the factor of 132? 2. How to factor 132? 3. Factor 132 in primes 4. Factor 132 in pairs 5. FAQ about Factor 132

## What are the factors of 132?

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The factor of a number is the exact divisor of the given number without remainder. The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132. So 132 is a composite number because it has more factors than 1 and itself. . is a prime factor of 132

## How to calculate the factors of 132?

We can use various methods such as the divisibility test, prime factorization, and reverse division method to calculate the factors of 132. We express 132 as the product of its prime factors in prime factorization method just as we divide 132 by its divisors. in the division method. Let us see which numbers divide 132 exactly without any remainder. **the coefficients of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 and 132.**Explore the elements using illustrations and interactive examples.

- The coefficients of 12 – The coefficients of 12 are 1, 2, 3, 4, 6, 12
- The coefficients of 150 – The coefficients of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
- Factors of 33 – The factors of 33 are 1, 3, 11, 33
- The coefficients of 32 – The coefficients of 32 are 1, 2, 4, 8, 16, 32
- Factors of 24 – The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
- The coefficients of 66 – The coefficients of 66 are 1, 2, 3, 6, 11, 66

## The coefficients 132 in prime factors

We can calculate the prime factor of any number by:

### Calculate prime factors by division method

The upside down part is so named because of the upside down part symbol.

- STEP 1: Using the divisibility rule, we find the exact smallest divisor (factor) of a given number. Here, 132 is an even number. So it’s divisible by 2. In other words, 2 divided by 132 has no remainder. Therefore 2 is the smallest prime factor of 132.
- STEP 2: We divide the given number by its smallest factor other than 1 (prime factor), 132/2 = 66
- STEP 3: We then find the prime factors of topqa.infoat yielding Step 1 and Step 2 until we get a quoting prime. In the last step, 33 is the quotient, 33/3 = 11. 11 is the quotient here, so we stop the process because 11 is a prime number.

Read more: what is the most popular martial art in the world | Top Q&AHence 132 = 2 × 2 × 3 × 11.

### Factor analysis using the factor tree method

First, we define two factors for 132. 132 is the root of this factor tree.132 = 2 × 66 Here, 66 is an even composite number, so it can be analyzed further. 66 = 2 × 66We continue this process until we are left with only prime numbers, that is, until we can no longer multiply the number of numbers obtained.Read more: What is fennel seed called in hindi? | Q&A we basically branched out 132 into its key elements. Factor tree is not unique for a given number Instead of expressing 132 as 2×66 we can represent 132 as 4×33 or 3×44 Here is a simple operation for you to try yourself, instead of 2 × 66, if we had used 3 × 44, do you think we would get the same factor tree? Can you draw a factorial tree with 3 and 44 as branches?

## Elements 132 in pairs

Factor pairs are two numbers that, when multiplied, give the number 132. Pairs of factors 132 Sign 1 × 132 (1, 132) 2 × 66 (2, 66) 3 × 44 (3, 44) 4 × 33 (4 , 33) 6 × 22 (6, 22) 11 × 12 (11, 12)

- Thus, the factors of 132 in pairs are (1, 132), (2, 66), (3, 44), (4, 33), (6, 22) and (11, 12).
**We can also have negative coefficients for a given number.**- Since the product of two negative numbers is positive (- × – = +), so (-1, -132), (-2, -66) and (-3, -44), etc., are also factor pairs. out of 132

But, for now, let’s focus on the positives in this article. With factoring, we only look for integers that are equal to or less than the original number.**Important note:**

- 132 is the composite number with the factors 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 and 132.
- It can be expressed as the product of two consecutive numbers: 132 = 11 × 12
- Calculate prime factors of 132: 2 × 2 × 3 × 11

**Think Tanks:**Read more: What is the main advantage of iv type pfd

- At one fair, there were 132 female guides and 150 male guides. The leaders wanted to form teams of 12 for the raft race. Each team must have an equal number of boys and girls. Can this be done? How?

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