Did you understand that 99 is the amount of the cubes of three consecutive integers: 99 = 23 + 33 + 43? Also, 99 is an odd composite number. It comprises of factors other 보다 1 and also itself. Let’s learn about the factors of 99, determinants of 99 in pairs, element factorization the 99, prime components of 99, and the variable tree that 99.

You are watching: Write 99 as a product of prime factors.

Factors that 99:1, 3, 9, 11, 33, and 99Prime factorization of 99: 3 × 3 × 11
1.What space the components of 99?
2.How to calculate the components of 99?
3.Tips and also Tricks
4.Factors of 99 by element Factorization
5.Factors of 99 in Pairs
6.Important Notes
7.FAQs on components of 99

Example: We can use division to check whether 11 and 10 are factors the 99.

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99 divides into 11 equal components with no remainder. On splitting 99 into 11 components we acquire a entirety number, i.e., 9. Therefore, 11 is a variable of 99.99 does not get separated by 10 right into equal entirety parts. On splitting 99 right into 10 parts, we get a spring number, i.e., 9.9. Therefore, 10 is not a factor of 99.Since 99 is a composite number, it will have more than two factors. 99 has actually a total of 12 factors.

There space two common methods to find the components of 99: Division method and Prime factorization technique .Let us calculate factors of 99 using the department method.

While considering numbers that have the right to divide 99 there is no remainders, we start with 1, then check 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, etc. As much as 45 (which is almost half that 99). 99 ÷ 1 = 99, Remainder = 0 99 ÷ 3 = 33, Remainder = 0 99 ÷ 9 = 11, Remainder = 0 99 ÷ 11 = 9, Remainder = 0 

Tips and Tricks

99 = 3 × 3 × 11 = 32 × 11To obtain the total numbers of factors of 99, simply include one to the exponent 2 and 1 and also multiply your sums. (2 + 1) x (1 + 1) = 3 x 2 = 6 Factors the 99 = 1, 3, 9, 11, 33, and also 99

Prime administer is to express a composite number together the product of its prime factors. A factor tree is a special branching diagram wherein we uncover the factors of a number, then the factors of those numbers, and also so on until we cannot element anymore. The ends of a factor tree space all the prime factors of the initial number.

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Pair factors of the number 99 room the whole numbers which main point to acquire the initial number, i.e., 99. Pair factors could be either confident or an unfavorable but not a fraction or decimal number.

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There space 6 factor bag of 99, and they are (1, 99), (-1, -99), (3, 33), (-3, -33), (9, 11), and (-9, -11).


Important Notes

99 is a composite number.3 and also 11 are the just prime numbers that are components of 99.The variety of factors of a provided number is finite; 99 has a full of 6 factors.

Example 1: Emma asks she students to give her the product of every the unique prime factors of the number 99. If the college student give the correct answer, what must have actually been your answer?

Solution:

Prime components of 99 space 3 and also 11.

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Product that these prime factors = 3 x 11 = 33 

The product of all the prime determinants of the number 99 is 33.


 

Example 2: Jason is make the efforts to calculation the mean of every the factors of 99. He is a little confused; can you assist him with the same?

Solution:

Factors that 99: 1, 3, 9, 11, 33, and also 99

Sum of every the given components = 1 + 3 + 9 + 11 + 33 + 99 = 156

To calculation the mean, we will certainly divide the sum that the factors v the complete numbers the factors, i.e., 6. 156 ÷ 6 = 26