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# What Are The Factors Of 72

What are the factors of 72? Answer: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The number 72 has 12 factors(we also counted the integer itself and 1 as elements). All numbers are divisible by 1 and itself. The biggest factor of 72 is 36. The smallest factor of 72 is 2.

## What Are The Factor Pairs Of 72

All whole numbers in a factor pair have to be factors of the given number(in this case 72). When multiplying factor pairs of 72 together the result has to be equal to 72. List for factor pairs of 72:

1×72 is a factor pair of 72 because 1×72=72
2×36 is a factor pair of 72 because 2×36=72
3×24 is a factor pair of 72 because 3×24=72
4×18 is a factor pair of 72 because 4×18=72
6×12 is a factor pair of 72 because 6×12=72
8×9 is a factor pair of 72 because 8×9=72

We found 6 factors of 72 in pairs.

## How To Check If All Factors Of 72 Are Correct Answers

All the factors of 72 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:

72/1=72 has a remainder of 0 which makes it divisible by the factor 1
72/2=36 has a remainder of 0 which makes it divisible by the factor 2
72/3=24 has a remainder of 0 which makes it divisible by the factor 3
72/4=18 has a remainder of 0 which makes it divisible by the factor 4
72/6=12 has a remainder of 0 which makes it divisible by the factor 6
72/8=9 has a remainder of 0 which makes it divisible by the factor 8

After having checked all 12 components we can now safely say that they are correct answers.

## General Mathematical Properties Of Number 72

72 is a composite number. 72 is a composite number, because it has more divisors than 1 and itself. This is an even number. 72 is an even number, because it can be divided by 2 without leaving a comma spot. This also means that 72 is not an odd number. When we simplify Sin 72 degrees we get the value of sin(72)=0.25382336276204. Simplify Cos 72 degrees. The value of cos(72)=-0.96725058827388. Simplify Tan 72 degrees. Value of tan(72)=-0.26241737750194. When converting 72 in binary you get 1001000. Converting decimal 72 in hexadecimal is 48. The square root of 72=8.4852813742386. The cube root of 72=4.1601676461038. Square root of √72 simplified is 6√2. All radicals are now simplified and in their simplest form. Cube root of ∛72 simplified is 2∛9. The simplified radicand no longer has any more cubed factors.

## All Factors Of Smaller Numbers Than 72 Solved

Learn how to calculate components of smaller integers like:

## All Factors Of Bigger Numbers Than 72 Solved

Learn how to calculate components of bigger numbers such as:

## Single Digit Properties For 72 Explained

• Integer 7 properties: Seven is an odd and defective number. The fourth prime, after 5 and before 11. Also called one of the primes of Mersenne, 7=2³-1. Known as one of the double prime integers, which is (7-1)÷2 still the same. 7 is the Cuban prime of the form (x³-y³)÷(x-y), x=y+1. Euclidian quantity 7=(2×3)+1. 7 is a Perrin, integer-free and congruent number. Smallest natural whose cube (343) is a palindrome. The second figure of Carol. A polygon with seven sides is called a heptagon. Part of the Pythagorean triad (7, 24, 25). Fifth of the succession of Lucas, after 4 and before 11. It is a palindrome in the binary system and a repeated number in the positional numbering system based on 6. In the numerical decimal system seven is a Colombian value.
• Integer 2 properties: 2 is the first of the primes and the only one to be even(the others are all odd). The first issue of Smarandache-Wellin in any base. Being even and a prime of Sophie Germain and Eisenstein. Goldbach's conjecture states that all even numbers greater than 2 are the quantity of 2 primes. It is a complete Harshad, which is a number of Harshad in any expressed base. The third of the Fibonacci sequence, after 1 and before 3. Part of the Tetranacci Succession. Two is an oblong figure of the form n(n+1). 2 is the basis of the binary numbering system, used internally by almost all computers. Two is a number of: Perrin, Ulam, Catalan and Wedderburn-Etherington. Refactorizable, which means that it is divisible by the count of its divisors. Not being the total of the divisors proper to any other arithmetical value, 2 is an untouchable quantity. The first number of highly cototent and scarcely totiente (the only one to be both) and it is also a very large decimal. Second term of the succession of Mian-Chowla. A strictly non-palindrome. With one exception, all known solutions to the Znam problem begin with 2. Numbers are divisible by two (ie equal) if and only if its last digit is even. The first even numeral after zero and the first issue of the succession of Lucas. The aggregate of any natural value and its reciprocal is always greater than or equal to 2.

## Finding All Factors Of A Number

How did we find all the 12 components of 72? 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 72 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*72=72) then with 2*x, 3*x, 4*x and so on. A pair of numbers that when multiplied together equals 72 can be called the factors of 72(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 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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.