Factors of 160 in pair are (1, 160) , (2, 80) , (4, 40) , (5, 32) , (8, 20) and (10, 16)

How to find factors of a number in pair

Steps to find factors of 160 in pair

Example: Find factors of 160 in pair

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 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 160 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 32 , 40 , 80 , 160. So, factors of 160 in pair are (1,160), (2,80), (4,40), (5,32), (8,20), (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.

Steps to find Factors of 160

  • Step 1. Find all the numbers that would divide 160 without leaving any remainder. Starting with the number 1 upto 80 (half of 160). The number 1 and the number itself are always factors of the given number.
    160 ÷ 1 : Remainder = 0
    160 ÷ 2 : Remainder = 0
    160 ÷ 4 : Remainder = 0
    160 ÷ 5 : Remainder = 0
    160 ÷ 8 : Remainder = 0
    160 ÷ 10 : Remainder = 0
    160 ÷ 16 : Remainder = 0
    160 ÷ 20 : Remainder = 0
    160 ÷ 32 : Remainder = 0
    160 ÷ 40 : Remainder = 0
    160 ÷ 80 : Remainder = 0
    160 ÷ 160 : Remainder = 0

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

Frequently Asked Questions

  • Is 160 a composite number?

    Yes 160 is a composite number.

  • Is 160 a prime number?

    No 160 is not a prime number.

  • Write five multiples of 160.

    Five multiples of 160 are 320, 480, 640, 800, 960.

  • Write all odd factors of 160?

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

  • What is the mean of all prime factors of 160?

    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. Therefore mean of prime factors of 160 is (2 + 2 + 2 + 2 + 2 + 5) / 6 = 2.50.

Examples of Factors

Ariel has been asked to write all factor pairs of 160 but she is finding it difficult. Can you help her find out?

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. So, factors of 160 in pair are (1,160), (2,80), (4,40), (5,32), (8,20), (10,16).

Sammy wants to write all the negative factors of 160 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 160 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -80, -160. Hence, factors of 160 in pair are (-1,-160), (-2,-80), (-4,-40), (-5,-32), (-8,-20), (-10,-16).

Help Deep in writing the positive factors of 160 in pair and negative factor of 160 in pair.

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. Positive factors of 160 in pair are (1,160), (2,80), (4,40), (5,32), (8,20), (10,16). Negative factors of 160 in pair are (-1,-160), (-2,-80), (-4,-40), (-5,-32), (-8,-20), (-10,-16).

Find the product of all factors of 160.

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. So the product of all factors of 160 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 32 x 40 x 80 x 160 = 16777216000000.

Find the product of all prime factors of 160.

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. Prime factors are 2, 2, 2, 2, 2, 5. So, the product of all prime factors of 160 would be 2 x 2 x 2 x 2 x 2 x 5 = 160.

Can you help Sammy list the factors of 160 and also find the factor pairs?

Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
Factors of 160 in pair are (1,160), (2,80), (4,40), (5,32), (8,20), (10,16).

Sammy has 160 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 160 blocks in all possible ways to form a rectangle, we need to calculate factors of 160 in pair. Therefore, factors of 160 in pair are (1,160), (2,80), (4,40), (5,32), (8,20), (10,16)