Did you recognize 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 that factors other 보다 1 and also itself. Let’s learn around the factors of 99, factors of 99 in pairs, element factorization of 99, prime factors of 99, and also the variable tree of 99.

You are watching: What can 99 be divided by

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

Example: We can use division to inspect whether 11 and 10 are factors that 99. 99 divides right into 11 equal components with no remainder. On dividing 99 into 11 parts we obtain a whole number, i.e., 9. Therefore, 11 is a variable of 99.99 does no get split by 10 right into equal totality parts. On separating 99 right into 10 parts, we get a fountain number, i.e., 9.9. Therefore, 10 is not a factor of 99.Since 99 is a composite number, it will have much more than 2 factors. 99 has a total of 12 factors.

There room two usual methods to discover the components of 99: Division an approach and Prime factorization method .Let us calculate components of 99 making use of the division method.

While considering numbers that can 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. 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 Tricks

99 = 3 × 3 × 11 = 32 × 11To gain the full numbers of components of 99, simply include one come the exponent 2 and 1 and also multiply your sums. (2 + 1) x (1 + 1) = 3 x 2 = 6 Factors that 99 = 1, 3, 9, 11, 33, and also 99

Prime administer is to express a composite number together the product the its prime factors. A variable tree is a special branching diagram wherein we find the determinants of a number, climate the factors of those numbers, and also so on until us cannot variable anymore. The ends of a element tree are all the prime determinants of the initial number. Pair factors of the number 99 room the whole numbers which multiply to obtain the initial number, i.e., 99. Pair factors can be either confident or an adverse but not a portion or decimal number. There room 6 factor bag 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 that are factors of 99.The variety of factors the a provided number is finite; 99 has a complete of 6 factors.

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

Solution:

Prime factors of 99 room 3 and also 11.

See more: What Is 10 1/3 As An Improper Fraction? What Is 10 Divided By 1/3

Product that these prime determinants = 3 x 11 = 33

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

Example 2: Jason is trying to calculate the mean of every the components of 99. He is a little bit confused; can you help him through the same?

Solution:

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

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

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