USING OUR SERVICES YOU AGREE TO OUR USE OF COOKIES

# What Are The Factors Of 48

What are the factors of 48? Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The number 48 has 10 factors(we also counted the integer itself and 1 as elements). All numbers are divisible by 1 and itself. The biggest factor of 48 is 24. The smallest factor of 48 is 2.

## What Are The Factor Pairs Of 48

All whole numbers in a factor pair have to be factors of the given number(in this case 48). When multiplying factor pairs of 48 together the result has to be equal to 48. List for factor pairs of 48:

1×48 is a factor pair of 48 because 1×48=48
2×24 is a factor pair of 48 because 2×24=48
3×16 is a factor pair of 48 because 3×16=48
4×12 is a factor pair of 48 because 4×12=48
6×8 is a factor pair of 48 because 6×8=48

We found 5 factors of 48 in pairs.

## How To Check If All Factors Of 48 Are Correct Answers

All the factors of 48 have to divide with this number without leaving a remainder to be correct. If division leaves a remainder then this means that the integer is not a factor. Now let us check all factors with this principle:

48/1=48 has a remainder of 0 which makes it divisible by the factor 1
48/2=24 has a remainder of 0 which makes it divisible by the factor 2
48/3=16 has a remainder of 0 which makes it divisible by the factor 3
48/4=12 has a remainder of 0 which makes it divisible by the factor 4
48/6=8 has a remainder of 0 which makes it divisible by the factor 6

After having checked all 10 components we can now safely say that they are correct answers.

## General Mathematical Properties Of Number 48

48 is a composite number. 48 is a composite number, because it has more divisors than 1 and itself. This is an even number. 48 is an even number, because it can be divided by 2 without leaving a comma spot. This also means that 48 is not an odd number. When we simplify Sin 48 degrees we get the value of sin(48)=-0.76825466132367. Simplify Cos 48 degrees. The value of cos(48)=-0.6401443394692. Simplify Tan 48 degrees. Value of tan(48)=1.2001272431163. When converting 48 in binary you get 110000. Converting decimal 48 in hexadecimal is 30. The square root of 48=6.9282032302755. The cube root of 48=3.6342411856643. Square root of √48 simplified is 4√3. All radicals are now simplified and in their simplest form. Cube root of ∛48 simplified is 2∛6. The simplified radicand no longer has any more cubed factors.

## All Factors Of Smaller Numbers Than 48 Solved

Learn how to calculate components of smaller integers like:

## All Factors Of Bigger Numbers Than 48 Solved

Learn how to calculate components of bigger numbers such as:

## Single Digit Properties For 48 Explained

• Integer 4 properties: 4 is even and the square of 2. Being a composite it has the following divisors:1, 2, 4. Since the sum of the divisors(excluding itself) is 3<4, it is a defective digit. A highly composed, highly totter and highly cototent integer. In mathematic terms four is a component of Ulam, tetrahedral and a part of the Tetranacci Succession. The complete Harshad, which is a number of Harshad in any expressed base. A strictly non-palindrome. The third term of the succession of Mian-Chowla. In the numerical decimal system it is a Smith numeral. A figure is divisible by 4 if and only if its last two digits express a number divisible by four. Each natural value is the sum of at most 4 squares. 4 belongs to the first Pythagorean terna(3,4,5). The fourth issue of the succession of Lucas, after 3 and before 7. Four is a palindrome and a repeated digit in the 3-based positional numbering system.
• Integer 8 properties: Eight is even and a cube of 2. It is a composite, with the following 4 divisors:1, 2, 4, 8. Since the total of the divisors(excluding itself) is 7<8, it is a defective number. The sixth of the Fibonacci sequence, after 5 and before 13. It is the quantity of the twin primes 3 and 5. The first octagonal value. 8 is a Ulam, centered heptagonal and Leyland number. All amounts are divisible by 8 if and only if the result formed by its last three digits is. A refactorizable, being divisible by the count of its divisors. At the same time a highly totter and highly cototent quantity. It is the fourth term of the succession of Mian-Chowla. Any odd greater than or equal to 3, elevated to the square, to which subtract is subtracted 1 is divisible by 8 (example: 7²=49 49-1=48 divisible by 8). The sum of two squares, 8=2²+2². The sum of the digits of its cube: 8³=512, 5+1+2=8. The first 4-digit binary:1000. Part of the Pythagorean triples (6, 8, 10), (8, 15, 17). Eight is a repeated number in the positional numbering system based on 3 (22) and on the base 7 (11).

## Finding All Factors Of A Number

How did we find all the 10 components of 48? We simply used one of the divisibility or multiplication methods explained below.

### How to Factor A Number With Divisibility?

We want to find all of the whole numbers that your figure is divisible by. Start dividing your number one after another with all numbers that are smaller than itself(for 48 you would have to make half the amount of divisions). All numbers that leave no remainder after division are components of the integer!

This is a simple yet also a very time consuming method. Not practical to use when dealing with large numbers.

### How To Factor A Integer With Multiplication?

To find all the components of a given figure you start by multiplying with 1* (Example 1*48=48) then with 2*x, 3*x, 4*x and so on. A pair of numbers that when multiplied together equals 48 can be called the factors of 48(a factor pair of this integer).

This is also called the rainbow method, because you can write the smaller factors on the left and the bigger ones on the right side. Example:

List with all the components of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Gradually these factors will start to close in on each other. Once the gap between big and small elements is closed and they start to meet, then you know that all elements are found.

## Tips For Finding Factors Easily

Simplify math by using these six tips for finding factors the easy way.

Tip 1: If the last digit of a bigger number is 0, 2, 4, 6 or 8 then this means that the whole number is an even number. If it is an even amount it is divisible by 2(making 2 a factor).

Tip 2: By multiplying the prime factors of a given number, we can find new factors.

Tip 3: If the sum of digits of a number is divisible by 3 then the figure is also divisible by 3(making 3 a factor). Example: the digits of 24 are 2 and 4 so 2+4=6 and 6 is divisible by 3, meaning that 24 is divisible by 3. The same logic also works for 9.

Tip 4: If the last two digits of a number are 00 then this integer is divisible by 4(knowing multiples of 4 comes in handy when using this). Making 4 a component.

Tip 5: If the last digit of a figure is 0 or 5 then 5 is a component of this number, because it is divisible.

Tip 6: All numbers that are divisible by both 2 and 3 are also divisible by 6. By using our third and sixth tip together you can now easily check if 6 is a factor in a big number.

## What Are Factors Of A Number?

Whole numbers that are divisible without leaving any fractional part or remainder are called factors of a number. A component of a digit is also called it's divisor.