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

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Factors that 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132Prime administrate of 132: 132 = 2 × 2 × 3 × 11
1.What room the components of 132?
2.How come Calculate determinants of 132?
3.Factors of 132 by element Factorization
4.Factors the 132 in Pairs
5.FAQs on components of 132

What are the determinants of 132?

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

How to calculate the components of 132?

We can use different methods choose divisibility test, element factorization, and the upside-down division method to calculation the factors of 132. We express 132 as a product the its prime components in the prime factorization method as well as we divide 132 v its divisors in the division method. Let united state see which number divide 132 exactly there is no a remainder.

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

Explore determinants using illustrations and also interactive examples.

Factors the 132 by element Factorization

We can do prime factorization of any number by:

Upside-down department methodFactor tree method

Prime administrate 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 uncover out the smallest exact prime divisor (factor) that the given number. Here, 132 is an even number. So the is divisible through 2. In various other words, 2 divides 132 with no remainder. Therefore 2 is the the smallest prime element of 132.STEP 2: We division the offered number by its smallest element other than 1 (prime factor), 132/2 = 66STEP 3: we then uncover the prime components of the acquired quotient.Repeat step 1 and also Step 2 it spins we get a prime number together a quotient. In the last step, 33 is the quotient, 33/3= 11. 11 is the quotient here, so we avoid the procedure as 11 is a element number.

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Therefore 132 = 2 × 2 × 3 × 11.

Prime administer by factor Tree Method

First, we determine the 2 factors that give 132. 132 is the source of this aspect tree.

132 = 2 × 66

Here, 66 is an also composite number, for this reason it can be more factorized.

66 = 2 × 66

We continue this process until we room left with only prime numbers, i.e., till us cannot further aspect the obtained numbers. 

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Basically, us branch out 132 into its prime factors. Aspect tree is not unique for a given number.

Instead of to express 132 as 2 × 66, we deserve to express 132 as 4 × 33 or 3 × 44

Here is a basic activity to shot it on her own, rather of 2 × 66, if we had supplied 3 × 44, carry out you think us will gain the same factor tree?

Can you draw the element tree with 3 and 44 as the branches?

Factors the 132 in Pairs

Factor pairs room the two numbers that, as soon as multiplied, give the number 132.

 Factor pairs 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, components of 132 in bag are (1, 132), (2, 66), (3, 44), (4, 33), (6, 22), and (11, 12).We can have an adverse factors also for a provided number.As the product that two an unfavorable numbers is positive (- × - = +), hence (-1, -132), (-2, -66), and (-3, -44), etc., are likewise factor bag of 132

But, because that now, allow us focus on the positive factors in this article. Through factors, us are only looking for entirety numbers that space equal come or 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 deserve to be expressed together the product of two consecutive numbers: 132 = 11 × 12Prime factorization of 132: 2 × 2 × 3 × 11

Think Tank:

At a jamboree, there space 132 girl guides and also 150 boy scouts. The leaders desire to make groups of 12 for the raft race. Every team must have the same number of boys and also girls. Deserve to this be done? How?

Example 1: Huia provides 132 bran biscuits for the institution gala. She desires to put them in packets that each have the same variety of biscuits, however she no want any left over. What number of equal packets can Huia make up?

Solution:

We need to discover different feasible ways that packing.Total number of biscuits = number of packets × number of biscuits in each packetHence, 132 = ns × bFor that, we must list the end the element pairs the 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 with 3 biscuits in each.

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

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

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

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This would occupational the other method round too, like 11 packets with 12 biscuits in each. Hence, there space 12 ways of pack possible.