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Last updated on December 10th, 2024

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Factors of 160

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Intermediate
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How to find the factor of a number? The factor of a number is the numbers when multiplied gives the number. In our daily life, we use it to distribute any objects. In this article, let’s check how to find the factors of 160

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What are the factors of 160

The numbers when multiplied gives 160 as the product are the factors of 160. 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160, are the factors of 160.
 

Negative factors of 160: The negative counterpart of a positive factor is the negative factor. The negative counterparts of the factors of 160 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -80, and -160. Hence, these are the negative factors of 160

 

Prime factors of 160:The number that can only be divided by 1 and the number itself is a prime number.
The prime factors of 160 are 25 × 5
 

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How to find the factors of 160

There are various methods to find the factors. Here are some of the methods that can be used to find the factors of 160.

 

  • Multiplication method 

 

  • Division method

 

  • Prime factor and prime factorization

 

  • Factor tree
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Finding factors using multiplication method

In the multiplication method the pair of numbers are identified, when multiplied it gives 160 as a product. 

 

Step 1: find all the numbers whose product is 160


Step 2: group the numbers as pairs and make a list

 

Factors of 160:

 

1 × 160 = 160


2 × 80 =160


4 × 40 =160


5 × 32=160


8 × 20=160


10 ×16 =160

Factors of 160 by multiplication method

So the pair of numbers will be (1,160), (2,80), (4,40), (5,32), (8,20), (10,16).

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Finding factors by division method

Here we check which number evenly divides 160. Here we divide the 160 until we cannot divide it anymore 

Factors of 160 using division method:

 

160 / 1 =160


160 / 2 =80


160 / 4 =40


160 / 5 =32


160 / 8 = 20


160 / 10 =16
Factors of 160 by the division method

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Prime factors and prime factorization

The number which only has one and the number itself as factors are the prime numbers. The prime factorization is a process of breaking down the number into its prime factors. When we multiply the prime factors, the product should be the number itself.

 

Prime factors of 160 are 2 and 5

 

Let's check how to find the prime factors of 160


Step 1: Here we are supposed to divide 160 with its least prime factor. That is 160 / 2 =80


Step 2: The quotient received from step 1 is further divided by the next least prime number. The process continues till we receive a prime number as remainder. 

       
80 / 2 =40


40 / 2 =20


20 / 2 =10


10 / 2 =5

 

The remainder is 5 and it's a prime number.


Therefore, the prime factors of 160 are 2 × 2 × 2 × 2 × 2 × 5 (25 × 5)

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Factor tree

Factor tree is a visual representation of the prime factorization. In the factor tree, each branch is split into factors.
Factors of 160 using factor tree

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Factor pairs


Factor a pair is the pair of factors. The product of the pair will be the number.

 

Positive factor pairs of 160: (1, 160), (2, 80), (4, 40), (5, 32), (8,20) and (10, 16)


Negative factor pairs of 160: (-1, -160), (-2, -80), (-4, -40), (-5, -32), (-8, -20) and (-10, -16)
 

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Common mistakes and how to avoid them in factors of 160

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Factors of 160 examples

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Problem 1

List out all the prime factors of 160?

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Explanation

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Problem 2

Check whether 32 a factor of 160?

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Explanation

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Problem 3

List out all the negative factors of 160.

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Explanation

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FAQs on factor 160

1.What are the factors of 160

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2.Check whether 160 is a perfect square or not?

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3.List out the prime factors of 160?

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4.Calculate the sum of factors of 160?

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Important Glossaries for factor of 160

 

  • Factors: The numbers that can divide a number evenly

 

  • Prime factors: The numbers which can only be divisible by one and the number itself.

 

  • Remainder: The value remains after dividing a number. For example, when we divide 5 by 2, the remainder is 1.

 

  • Product: The product is a number which is a result of multiplying two or more numbers
     
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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.

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Fun Fact

: She loves to read number jokes and games.

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