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Last updated on December 10th, 2024

Factors of 165

Q: What is 165 divided by prime numbers?

165 has factors 1,3,5,11,15,33,55,165. Out of these factors, three are prime numbers or prime factors and the rest are composite factors. The prime factors are: 3,5,11.

Q: Is 11 a factor of 165?

The list of factors of 165 are: 1,3,5,11,15,33,55,165, where we can see that 11 is in the list. Hence, 11 is a factor of 165. Let’s check this: 165/11=15.

Q: Can 165 be divided by 3?

The list of factors of 165 are: 1,3,5,11,15,33,55,165, where we can see that 3 is in the list. Hence, 3 is a factor of 165. Let’s check this: 165/3=55.

Q: Is 165 divisible by 6?

To check the divisibility test of 6, we have to divide 165 first with 2 and 3 separately. If 165 is divisible by 2 and 3, it is also divisible by 6. 165 is not an even number, so it is not divisible by 2, but 1+6+5=12 is divisible by 3, and hence 165 is divisible by 3. We conclude that 165 is not divisible by 6.

Q: Is 165 divisible by 4?

We know that a number is divisible by 4 if its last two digits are compactly divisible by 4 or are zeroes. For 165, the last two digits are 65, which is not divisible by 4. Hence, 165 is not divisible by 4.

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Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 165. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 165.

What are the Factors of 165?

The factors of 165 or the numbers which divide 165 exactly are:

1,3,5,11,15,33,55, and 165.

Negative factors of 165: -1,-3,-5,-11,-15,-33,-55,-165.

Prime factors of 165: 3,5,11

Prime factorization of 165: 3×5×11

The sum of factors of 165: 1+3+5+11+15+33+55+165= 288

How to Find the Factors of 165

For finding factors of 165, we will be learning these below-mentioned methods:

Multiplication Method

Division Method

Prime Factor and Prime Factorization

Factor Tree

Finding Factors using Multiplication Methods

This particular method often finds the pair of factors which, on multiplication together, produces 165. Let us find the pairs which, on multiplication, yields 165.

1×165=165

3×55=165

5×33=165

11×15=165

$Factors of 165 by multiplication method$
So, factors of 165 are: 1,3,5,11,15,33,55, and 165.

Finding Factors using Division Method

The division method finds the factors that evenly divides the given number 165. In this process, we have to divide 165 by all possible natural numbers less than 165 and check.

1,3,5,11,15,33,55, and 165 are the only factors that the number 165 has. So to verify the factors of 165 using the division method, we just need to divide 165 by each factor.

165/1 =165

165/3=55

165/5=33

165/11=15

165/15=11

165/33=5

165/55=3

165/165=1
$Factors of 165 by the division method$

Prime Factors and Prime Factorization

Prime Factorization is the easiest process to find prime factors. It decomposes 165 into a product of its prime integers.

Prime Factors of 165: 3,5,11.

Prime Factorization of 165: 3×5×15

Factor tree

The number 165 is written on top and two branches are extended.

Fill in those branches with a factor pair of the number above, i.e., 165.

Continue this process until each branch ends with a prime factor (number).

The first two branches of the factor tree of 165 are 3 and 55, then proceeding to 55, we get 5 and 11. So, now the factor tree for 165 is achieved.
$Factors of 165 using factor tree$

Factor Pairs

Positive pair factors: (1,165), (3,55), (5,33), (11,15).

Negative pair factors: (-1,-154), (-3,-55), (-5,-33), (-11,-15).

Common Mistakes and How to Avoid Them in Factors of 165

Factors of 165 Examples

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Problem 1

A lady has 165 dahlias and 55 roses. She wants to divide them equally among some vases. What is the maximum number of vases she requires?

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Explanation

Problem 2

Find the simplest form of square root of 165.

Explanation

Problem 3

The area of a rectangle is 165 square units. If the length is 33 units, then what is the measure of its width?

Explanation

Problem 4

Find the smallest number that is divisible by 5 and 33.

Explanation

Problem 5

If a number is divisible by both 3 and 55, is it divisible by 165?

Explanation

FAQs on Factors of 165

1.What is 165 divided by prime numbers?

2.Is 11 a factor of 165?

3.Can 165 be divided by 3?

4.Is 165 divisible by 6?

5.Is 165 divisible by 4?

Important Glossaries for Factors of 165

Multipliers - Number which multiplies or a number by which another number is multiplied.

Dividers - A number that divides.

Prime Factorization - It involves factoring the number into its prime factors.

Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

Composite numbers - These are numbers having more than two factors.

Multiple - It is a product of the given number and any other integer.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.