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What Are The Factors Of 49

What are the factors of 49? Answer: 1, 7, 49

The number 49 has 3 factors(we also counted the integer itself and 1 as elements). All numbers are divisible by 1 and itself. The biggest factor of 49 is 7. The smallest factor of 49 is 7.

What Are The Factor Pairs Of 49

All whole numbers in a factor pair have to be factors of the given number(in this case 49). When multiplying factor pairs of 49 together the result has to be equal to 49. List for factor pairs of 49:

1×49 is a factor pair of 49 because 1×49=49
7×7 is a factor pair of 49 because 7×7=49


We found 2 factors of 49 in pairs.

How To Check If All Factors Of 49 Are Correct Answers

All the factors of 49 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:

49/1=49 has a remainder of 0 which makes it divisible by the factor 1
49/7=7 has a remainder of 0 which makes it divisible by the factor 7

After having checked all 3 components we can now safely say that they are correct answers.

General Mathematical Properties Of Number 49

49 is a composite number. 49 is a composite number, because it has more divisors than 1 and itself. It is not even. 49 is not an even number, because it can't be divided by 2 without leaving a comma spot. This also means that 49 is an odd number. When we simplify Sin 49 degrees we get the value of sin(49)=-0.95375265275947. Simplify Cos 49 degrees. The value of cos(49)=0.30059254374364. Simplify Tan 49 degrees. Value of tan(49)=-3.1729085521592. When converting 49 in binary you get 110001. Converting decimal 49 in hexadecimal is 31. The square root of 49=7. The cube root of 49=3.659305710023. Square root of √49 simplified is 4√3. All radicals are now simplified and in their simplest form. Cube root of ∛49 simplified is 49. The simplified radicand no longer has any more cubed factors.

All Factors Of Smaller Numbers Than 49 Solved

Learn how to calculate components of smaller integers like:

All Factors Of Bigger Numbers Than 49 Solved

Learn how to calculate components of bigger numbers such as:

Single Digit Properties For 49 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 9 properties: 9 is odd and the square of 3. It is a composite, with the following divisors:1, 3, 9. Since the quantity of the divisors(excluding itself) is 4<9, it is a defective number. In mathematics nine is a perfect total, suitable and a Kaprekar figure. Any amount is divisible by 9 if and only if the quantity of its digits is. Being divisible by the count of its divisors, it is refactorizable. Each natural is the sum of at most 9 cubes. If any sum of the digits that compose it is subtracted from any natural, a multiple of 9 is obtained. The first odd square and the last single-digit quantity. In the binary system it is a palindrome. Part of the Pythagorean triples (9, 12, 15), (9, 40, 41). A repeated number in the positional numbering system based on 8. Nine is a Colombian digit in the numerical decimal system. If multiplied 9 always leads back to itself: 2×9=18 → 1+8=9, 3×9=27 → 2+7=9 in the same way if you add a number to 9, the result then refers to the initial digit: 7+9=16 → 1+6=7, 7+9+9=25 → 2+5=7, 7+9+9+9=34 → 3+4=7. If you put 111111111 in the square (ie 1 repeated 9 times) you get the palindrome 12345678987654321, also if you add all the numbers obtained: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 you get 81, and in turn 8 + 1 = 9.

Finding All Factors Of A Number

How did we find all the 3 components of 49? 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 49 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*49=49) then with 2*x, 3*x, 4*x and so on. A pair of numbers that when multiplied together equals 49 can be called the factors of 49(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 49:
1, 7, 49

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.
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