What are the prime factorization of 99

Here you can find the answer to questions related to: Factor tree for 99 or how to draw the factor tree for 99.

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The number 99 is a composite number because 99 can be divided by 1, by itself and at least by 3 and 11. So, it is possible to draw its prime tree.

The prime factorization of 99 = 32•11. See its prime factors tree below.

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The procedure below applies to any non-prime number.

  • Find 2 factors of the number;
  • Look at the 2 factors and determine if at least one of them is not prime;
  • If it is not a prime factor it;
  • Repeat this process until all factors are prime.

Supose you want to find the factor tree of 32. In this case, you show use the folowing steps:

     32     /  \    2   16       /  \      2   8         /  \        2    4           /  \          2    2  32 is not prime --> divide by 2  16 is not prime --> divide by 2  8 is not prime --> divide by 2   4 is not prime --> divide by 2

  2 is prime --> stop

Note that these dividers (in this case all are equal to 2) are the prime factors. They are also called the leaves of the factor tree.

All Calculators

Factors of 99 are the natural numbers that divide the original number, completely. So, if any factor divides the number 99, then there is no remainder left and a quotient is a whole number. Let us take an example of 8, whose factors are 1, 2, 4 and 8. Hence, if we divide 8 by 4 we get 2 as the result.

8 ÷ 4 = 2

Thus, there is no remainder and a quotient is a whole number.

In the same way, we can find the factors of 99 here in this article along with pair factors and prime factors. The pair factors result in the original number, when multiplied together and prime factors are the prime numbers that divide the original number, evenly.

What are the prime factorization of 99

How to Find Factors of 99?

Factors of 99 are the real numbers/integers that divide the original number, evenly, without leaving any remainder. 99 is a composite number, therefore, it will have more than two factors. We will start dividing 99 by the smallest natural number 1.

  • 99 ÷ 1 = 99
  • 99 ÷ 3 = 33
  • 99 ÷ 9 = 11
  • 99 ÷ 11 = 9
  • 99 ÷ 33 = 3
  • 99 ÷ 99 = 1

Thus, the factors of 99 are 1, 3, 9, 11, 33 and 99.

Remember: 99 is an odd number, therefore, it is not divisible by any even number.

Pair Factors of 99

The product of pair factors of 99, will result in the original number, such that;

  • 1 × 99 = 99
  • 3 × 33 = 99
  • 9 × 11 = 99

Therefore, the pair factors are (1, 99), (3, 33) and (9, 11).

As we can see, these were the positive pair factors. Similarly, if we consider negative pairs of factors, the multiplication of such two negative numbers will result in the original number.

  • -1 × -99 = 99
  • -3 × -33 = 99
  • -9 × -11 = 99

Therefore, the negative pair factors are (-1, -99), (-3, -33) and (-9, -11).

Prime Factorisation of 99

Prime factors of 99 are the prime numbers, that divide the original number, evenly. Alternatively, we can say, 99 is divisible by its prime factors. Now, we will use the prime factorisation method to find the prime factors.

Step 1: Dividing 99 by the smallest prime factor, which is 3, we get;

99/3 = 33

Step 2: Again divide 33 by the smallest prime factor, 3, to get;

33/33 = 11

Step 3: 11 is itself a prime factor, therefore, it is divisible by 11 only.

11/11 = 1

Therefore,

Prime factorisation of 99 = 3 x 3 x 11 = 32 x 11

Video Lesson on Prime Factors

What are the prime factorization of 99

Solved Examples

Q.1: 99 students have to go on a picnic. There are 33 seats available in the bus. How many students can be seated in one seat?

Solution: Given,

Number of students = 99

Number of seats in a bus = 33

Number of students sitting in a seat = 99/33 = 3

Q.2: What is the sum of all the factors of 99?

Solution: The factors of 99 are 1, 3, 9, 11, 33 and 99.

Sum = 1+3+9+11+33+99 = 156

Therefore, 156 is the required sum.

Q.3: What are the common factors of 11 and 99?

Answer: Let us write the factors of both the numbers.

11 → 1, 11 (Since 11 is a prime number)

99 → 1, 3, 9, 11, 33 and 99 (99 is a composite number)

Hence, we can see the common factors are 1 and 11.

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Answer: There are a total of six factors of 99. They are 1, 3, 9, 11, 33 and 99.

Answer: No, 99 is not a prime number but a composite number because it has more than two factors.

Answer: The first 10 multiples of 99 are 99, 198, 297, 396, 495, 594, 693, 792, 891 and 990.

Answer: The prime factorisation of 99 is equal to:

99 = 3 x 3 x 11 = 32 x 11

Answer: Factors of 99 are:1, 3, 9, 11, 33, 99

Factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

Therefore, the greatest common factor (GCF) of 99 and 100 is 1.

Use the form below to do your conversion, separate numbers by comma and prime factorization calculator.



99 divided by 3, 3, 11, gives no remainder. They are integers and prime numbers of 99, they are also called composite number.

prime factorization calculator or integer factorization of a number is the determination of the set of prime integers which multiply together to give the original integer. It is also known as prime decomposition.

Prime number are numbers that can divide without remainder, This means that 99 is divisible by 3, 3, 11, numbers.

99  100  101  102  103  104  105  106  107  108  109  110  111  112  113  114  115  116  117  118  


What are the prime factorization of 99
Here we have a collection of all the information you may need about the Prime Factors of 99. We will give you the definition of Prime Factors of 99, show you how to find the Prime Factors of 99 (Prime Factorization of 99) by creating a Prime Factor Tree of 99, tell you how many Prime Factors of 99 there are, and we will show you the Product of Prime Factors of 99.

Prime Factors of 99 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 99 are all the prime numbers that when multiplied together equal 99.
How to find the Prime Factors of 99 The process of finding the Prime Factors of 99 is called Prime Factorization of 99. To get the Prime Factors of 99, you divide 99 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 99. See illustration below.

What are the prime factorization of 99

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 99. Here is the math to illustrate: 99 ÷ 3 = 3333 ÷ 3 = 1111 ÷ 11 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 99. Thus, the Prime Factors of 99 are: 3, 3, 11.
How many Prime Factors of 99? When we count the number of prime numbers above, we find that 99 has a total of 3 Prime Factors.

Product of Prime Factors of 99

The Prime Factors of 99 are unique to 99. When you multiply all the Prime Factors of 99 together it will result in 99. This is called the Product of Prime Factors of 99. The Product of Prime Factors of 99 is: 3 × 3 × 11 = 99

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Prime Factors of 100

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