Question

What are all the factor pairs of 32?

Answer 1

Hint: We know that factors are the number which on dividing the number the remainder will be zero. So first we will find the factors and then the pairs that are the product of numbers in these pairs will be 32. So let’s find it!

Complete step by step solution:
32 is an even number. Now 1 is the factor of every number.
So the factors are 1,2,4,8,16,32.
Now to pair the number we will take the numbers as their product will be 32.
\[
  1 \times 32 = 32 \\
  2 \times 16 = 32 \\
  4 \times 8 = 32 \;
\]
So the pairs are \[\left( {1,32} \right),\left( {2,16} \right),\left( {4,8} \right).\]
There are 6 factors and thus three pairs will be obtained.
So, the correct answer is “\[\left( {1,32} \right),\left( {2,16} \right),\left( {4,8} \right).\]”.

Note: Note that 1 and that number will always be the factors of any number. Zero is never the factor.
Number of obtained pairs will be half of the number of factors.
Note that prime numbers have only one pair of factors like the pair of 1 and that number only.
Multiples are obtained on multiplying the number and factors are obtained on dividing the number.