Did you understand that 99 is the sum of the cubes of 3 consecutive integers: 99 = 23 + 33 + 43? Also, 99 is an odd composite number. The comprises of factors other 보다 1 and itself. Let’s learn around the components of 99, components of 99 in pairs, element factorization that 99, prime factors of 99, and the element tree of 99.

You are watching: What is the prime factorization of 99

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

**Prime administer of 99:**3 × 3 × 11

1. | What are the factors of 99? |

2. | How to calculation the factors of 99? |

3. | Tips and also Tricks |

4. | Factors the 99 by element Factorization |

5. | Factors of 99 in Pairs |

6. | Important Notes |

7. | FAQs on components of 99 |

Example: We can use department to check whether 11 and 10 are factors of 99.99 divides right into 11 equal components with no remainder. On separating 99 into 11 components we acquire a entirety number, i.e., 9. Therefore, 11 is a aspect of 99.99 does no get split by 10 into equal whole parts. On separating 99 right into 10 parts, we acquire 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 a total of 12 factors.

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

While considering numbers that deserve to 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. Up to 45 (which is almost half of 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**

Prime administrate is come express a composite number together the product the its prime factors. A element tree is a special branching diagram where we discover the determinants of a number, climate the determinants of those numbers, and also so on until us cannot aspect anymore. The end of a factor tree room all the prime factors of the original number.

Pair components of the number 99 space the totality numbers which main point to gain the initial number, i.e., 99. Pair factors might be either positive or an unfavorable but no a fraction 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**

**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 factors of 99 room 3 and 11.

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Product the these prime components = 3 x 11 = 33

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

**Example 2: **Jason is trying to calculation the mean of all the determinants of 99. The is a little confused; can you aid him v the same?

**Solution:**

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

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

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