A factor of a number is an integer that divides the number without leaving any remainder. In simpler terms, if you divide a number by one of its factors, the result will be a whole number. For example, the factors of 81 are the numbers that can multiply together to give 81. Factors are useful in various mathematical operations like finding the greatest common divisor (GCD) or the least common multiple (LCM) of two numbers.
The factors of 81 are the numbers you can multiply to get 81. These numbers also divide 81 evenly without leaving a remainder. The factors of 81 are: 1, 3, 9, 27, and 81. Understanding the factors of a number can help in solving problems related to division, multiplication, and fractions.
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To find the factors of 81, follow these steps:
Here’s a quick reference table:
| Divisor | Result | Is Factor? |
|---|---|---|
| 1 | 81 | Yes |
| 2 | 40.5 | No |
| 3 | 27 | Yes |
| 9 | 9 | Yes |
| 27 | 3 | Yes |
| 81 | 1 | Yes |
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Prime factorization involves breaking down a number into its prime factors. For 81, the steps are:
So, the prime factorization of 81 is 3×3×3×3 or 34
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Factor pairs are two numbers that, when multiplied together, give the original number. For 81, the factor pairs are:
These pairs show that multiplying these numbers gives you 81.
Yes, 81 is a perfect square. A perfect square is a number that can be expressed as the square of an integer.
The number 81 has five factors.
A perfect square is a number that results from multiplying an integer by itself. For instance, 9 is a perfect square because it equals 3 squared (3 x 3).
The prime factorization of 81 is 343^434. This represents the simplest form of its factors.