Did you understand that 99 is the sum of the cubes of three consecutive integers: 99 = 23 + 33 + 43? Also, 99 is an odd composite number. That comprises the factors other than 1 and itself. Let’s learn around the factors of 99, factors of 99 in pairs, prime factorization of 99, prime factors of 99, and the aspect tree of 99.

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

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

Example: We have the right to use department to inspect whether 11 and 10 are factors of 99. 99 divides right into 11 equal components with no remainder. On splitting 99 into 11 parts we obtain a totality number, i.e., 9. Therefore, 11 is a variable of 99.99 does no get divided by 10 right into equal entirety parts. On dividing 99 right into 10 parts, we get a fractional number, i.e., 9.9. Therefore, 10 is no a element of 99.Since 99 is a composite number, it will certainly have an ext than 2 factors. 99 has a complete of 12 factors.

There are two usual methods to find the factors of 99: Division technique and Prime factorization method .Let us calculate factors of 99 utilizing the division method.

While considering number that can divide 99 without remainders, we start with 1, then examine 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, etc. Approximately 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 also Tricks

99 = 3 × 3 × 11 = 32 × 11To get the total numbers of determinants 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 of 99 = 1, 3, 9, 11, 33, and 99

Prime administrate is to express a composite number together the product of its prime factors. A aspect tree is a special branching diagram wherein we find the components of a number, then the factors of those numbers, and also so on until we cannot variable anymore. The end of a element tree space all the prime factors of the original number. Pair components of the number 99 space the whole numbers which multiply to get the original number, i.e., 99. Pair factors can be either optimistic or negative but no a portion or decimal number. There are 6 factor pairs of 99, and also 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 just prime numbers the are factors of 99.The number of factors of a given number is finite; 99 has a full of 6 factors.

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

Solution:

Prime factors of 99 space 3 and also 11.

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Product of these prime determinants = 3 x 11 = 33

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

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

Solution:

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

Sum of all 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