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

You are watching: 99 as a product of prime factors

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

Example: We can use division to examine whether 11 and 10 are factors of 99.

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99 divides into 11 equal components with no remainder. On dividing 99 right into 11 components we obtain a totality number, i.e., 9. Therefore, 11 is a factor of 99.99 does not get split by 10 into equal totality parts. On dividing 99 right into 10 parts, we get a fountain number, i.e., 9.9. Therefore, 10 is no a element of 99.Since 99 is a composite number, it will certainly have more than 2 factors. 99 has a full of 12 factors.

There room two common methods to discover the factors of 99: Division method and Prime factorization an approach .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 examine 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 the 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 add one to the exponent 2 and 1 and also multiply your sums. (2 + 1) x (1 + 1) = 3 x 2 = 6 Factors of 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 element tree is a special branching diagram wherein we find the determinants of a number, climate the components of those numbers, and so on until we cannot element anymore. The end of a factor tree are all the prime determinants of the original number.

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Pair determinants of the number 99 are the whole numbers which multiply to gain the original number, i.e., 99. Pair factors could be either confident or an adverse but no a portion 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 also (-9, -11).


Important Notes

99 is a composite number.3 and 11 are the only prime numbers the are factors of 99.The number of factors the a offered number is finite; 99 has a full of 6 factors.

Example 1: Emma asks she students to provide her the product of every the distinctive prime factors of the number 99. If the student give the exactly answer, what must have actually been their answer?

Solution:

Prime determinants of 99 room 3 and also 11.

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Product the these prime factors = 3 x 11 = 33 

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


 

Example 2: Jason is do the efforts to calculation the mean of every the components of 99. That is a little bit confused; can you aid him v the same?

Solution:

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

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

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