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Last updated on September 26th, 2024
Factors of 32 are whole numbers that can divide 32 completely. In real life, we use factors for grouping and sharing anything equally in the groups. In this article, we will be studying examples, mistakes, and methods to solve factors of 32.
The factors of 32 can neither be a decimal nor a fraction. These factors divide 32 by, leaving zero as the remainder.
The factors of 32 are 1, 2, 4, 8, 16 and 32.
These are negative counterparts of the positive factors
Negative factors: -1, -2, -4, -8, -16, -3.
Prime factors are the prime numbers themselves, when multiplied together, give 32 as the product.
Prime factor: 2
Prime factorization involves breaking 32 into its prime factors
It is expressed as 25
Table listing the factors of 52
Positive Factors |
1, 2, 4, 8, 16, 32 |
Negative Factors |
-1, -2, -4,-8, -16, -32 |
Prime Factors |
2 |
Prime Factorization |
2^{5} |
There are different methods to find the factors of 32.
Methods to find the factors of 32:
The multiplication method finds the pair of factors that give 32 as their product.
Step-by-step process
Step 1: Find the pair of numbers whose product is 32.
Step 2: The factors are those numbers, when multiplied, give 32.
Step 3: Make a list of numbers whose product will be 32.
A list of numbers whose products are 32 is given below:
1 × 32 = 32
2 × 16 = 32
4 × 8 = 32
The division method finds the numbers that fully divide the given number.
Step-by-step process
Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 32÷1 = 32
Step 2: Move to the next integer. Both divisor and quotient are the factors. Example: 32÷2 = 16 and so on.
Picture showing the division method:
Overview of Factors of 32 using the division method:
Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is breaking down the number into its prime factors.
Prime Factors of 32
Number 32 has only one prime factor.
Prime factor of 32: 2
To find the prime factors of 32, divide 32 with the prime number 2
Prime Factorization of 32
Prime Factorization breaks down the prime factors of 32
Expressed as 2^{5}
The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.
Factor Tree for 32:
Factors of 32 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.