1. Steps to find factors of 160 using Division Method

Example: Find factors of 160

  • Divide 160 by 1: 160 ÷ 1 : Remainder = 0
  • Divide 160 by 2: 160 ÷ 2 : Remainder = 0
  • Divide 160 by 4: 160 ÷ 4 : Remainder = 0
  • Divide 160 by 5: 160 ÷ 5 : Remainder = 0
  • Divide 160 by 8: 160 ÷ 8 : Remainder = 0
  • Divide 160 by 10: 160 ÷ 10 : Remainder = 0
  • Divide 160 by 16: 160 ÷ 16 : Remainder = 0
  • Divide 160 by 20: 160 ÷ 20 : Remainder = 0
  • Divide 160 by 32: 160 ÷ 32 : Remainder = 0
  • Divide 160 by 40: 160 ÷ 40 : Remainder = 0
  • Divide 160 by 80: 160 ÷ 80 : Remainder = 0
  • Divide 160 by 160: 160 ÷ 160 : Remainder = 0

Hence, Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160

2. Steps to find factors of 160 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 160 using the division method, follow these steps:

  • Step 1. Start dividing 160 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 160, which is 2. Divide 160 by 2 to obtain the quotient (80).
    160 ÷ 2 = 80
  • Step 3. Repeat step 1 with the obtained quotient (80).
    80 ÷ 2 = 40
    40 ÷ 2 = 20
    20 ÷ 2 = 10
    10 ÷ 2 = 5
    5 ÷ 5 = 1

So, the prime factorization of 160 is, 160 = 2 x 2 x 2 x 2 x 2 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 160 as shown below:

So, the prime factorization of 160 is, 160 = 2 x 2 x 2 x 2 x 2 x 5.

3. Find factors of 160 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 160 would be the two numbers which, when multiplied, give 160 as the result.

The following table represents the calculation of factors of 160 in pairs:

Factor Pair Pair Factorization
1 and 160 1 x 160 = 160
2 and 80 2 x 80 = 160
4 and 40 4 x 40 = 160
5 and 32 5 x 32 = 160
8 and 20 8 x 20 = 160
10 and 16 10 x 16 = 160

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 160. They are called negative pair factors.

Hence, the negative pairs of 160 would be ( -1 , -160 ) , ( -2 , -80 ) , ( -4 , -40 ) , ( -5 , -32 ) , ( -8 , -20 ) and ( -10 , -16 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 160 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 160.
  • Every number is a factor of zero (0), since 160 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 are exact divisors of 160.
  • Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. Each factor divides 160 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 are all less than or equal to 160.

Frequently Asked Questions

  • Which is the smallest prime factor of 160?

    The smallest prime factor of 160 is 2.

  • Is 160 a whole number?

    Yes 160 is a whole number.

  • What are the prime factors of 160?

    The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
    Prime factors of 160 are 2, 2, 2, 2, 2, 5.

  • What two numbers make 160?

    Two numbers that make 160 are 2 and 80.

  • What are multiples of 160?

    First five multiples of 160 are 320, 480, 640, 800.

  • What is the sum of all factors of 160?

    The sum of all factors of 160 is 378.

  • What are five multiples of 160?

    First five multiples of 160 are 320, 480, 640, 800, 960.

  • Is 160 a perfect square?

    No 160 is not a perfect square.

  • What is the greatest prime factors of 160?

    The greatest prime factor of 160 is 5.

Examples of Factors

How many factors are there for 160?

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 160. Can you predict the answer?

11 factor(s) of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80.

Sammy is puzzled while calculating the prime factors of 160. Can you help him find them?

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
Prime factors of 160 are 2, 2, 2, 2, 2, 5

What is prime factorization of 160?

Prime factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5 = 25 x 5.

Ariel has been assigned the task to find the product of all the prime factors of 160. Can you help her?

Prime factors of 160 are 2, 2, 2, 2, 2, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 160?

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
Even factors of 160 are 2, 4, 8, 10, 16, 20, 32, 40, 80, 160.
Hence, product of even factors of 160 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 80 x 160 = 3355443200000.

Joy wants to calculate mean of all the factors of 160. Help him in finding the mean of 160.

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 160 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 80 + 160 = 378.
Hence, the mean of factors of 160 is 378 ÷ 12 = 31.50.