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

You are watching: 99 as a product of prime factors

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

Example: We deserve to use department to inspect whether 11 and 10 are factors that 99.

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99 divides into 11 equal components with no remainder. On splitting 99 into 11 components we gain a totality number, i.e., 9. Therefore, 11 is a element of 99.99 does not get divided by 10 right into equal whole parts. On splitting 99 into 10 parts, we gain a spring number, i.e., 9.9. Therefore, 10 is no a variable of 99.Since 99 is a composite number, it will have more than 2 factors. 99 has actually a full of 12 factors.

There space two typical methods to find the components of 99: Division technique and Prime factorization method .Let united state calculate factors of 99 using the division method.

While considering numbers that have the right to divide 99 without remainders, we begin with 1, then inspect 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, etc. Approximately 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 also Tricks

99 = 3 × 3 × 11 = 32 × 11To obtain the total numbers of components 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 99

Prime administer is to express a composite number as the product that its prime factors. A factor tree is a special branching diagram whereby we discover the components of a number, then the factors of those numbers, and also so on until us cannot element anymore. The ends of a aspect tree space all the prime factors of the initial number.

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Pair components of the number 99 space the entirety numbers which main point to get the initial number, i.e., 99. Pair factors could be either positive or an unfavorable but no a fraction or decimal number.

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There room 6 factor pairs 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 factors of 99.The variety of factors the a offered number is finite; 99 has a complete 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 student give the exactly answer, what must have been your answer?

Solution:

Prime components of 99 space 3 and also 11.

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Product the these prime components = 3 x 11 = 33 

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


 

Example 2: Jason is make the efforts to calculation the mean of all the components of 99. That is a bit confused; can you help him with the same?

Solution:

Factors the 99: 1, 3, 9, 11, 33, and 99

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

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