Credit:Bernd OpitzStoneGetty Images
Q:

What are all the factors of 36?

A:

Quick Answer

There are nine factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36. Because the number 36 has more than two factors, it is termed a composite number in mathematics.

Know More

Full Answer

Factors are the positive, non-zero whole numbers which, when divided into the number in question, result in a number with no remainder. In the case of 36, for example: 36 ÷ 2 = 8.

A whole number greater than 1 which has only two factors (itself and 1) is termed a prime number. Examples of prime numbers include 3, 5, 7 and 11.

Factoring can also be applied to algebraic expressions. One example of the usefulness of an algebraic factor lies in the polynomial equation x^2 - x - 2 = 0. The factors of x^2 - x - 2 are (x-2) and (x+1), resulting in the simpler equations x-2=0 and x+1=0, yielding the solutions for the original equations, x=2 and x=-1.

The security of data is often ensured using cryptography keys which rely on methods that factor large whole numbers or use factorization. Data transmitted over the Internet is often secured using such public-key cryptography with reliance on advanced factoring methods. Coding also relies on factoring and is a necessary part of digital communication, including telephone, video and satellites.

Learn more about Arithmetic

Related Questions

• A:

Fractions with exponents are a natural extension of working with any set of mixed factors. Fortunately, there are some simple factoring steps to keep these terms as simple as possible.

Full Answer >
Filed Under:
• A:

The factors of 51 are 1, 3, 17 and 51. Therefore, 51 has a total of four factors. Every number has at least two factors, which include 1 and the number itself.

Full Answer >
Filed Under:
• A:

The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. These factors combine together to result in the number 30 if a person multiplies 1 by 30, 2 by 15, 3 by 10 or 5 by 6. In mathematics, factors are the numbers that are multiplied together to get another number.

Full Answer >
Filed Under:
• A:

In math, reasonableness refers to the results of a calculation or problem-solving operation reflecting what is reasonable within the context of the given factors or values. Two qualifiers of an answer's reasonableness are the order of magnitude within the framework of the problem and whether the results are either positive or negative. An answer can also be determined to be reasonable based on an estimate.

Full Answer >
Filed Under: