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Fundamental theorem of arithmetic and Integer

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fundamental theorem of arithmetic and Integer

Fundamental theorem of arithmetic vs. Integer

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors. An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Similarities between Fundamental theorem of arithmetic and Integer

Fundamental theorem of arithmetic and Integer have 10 things in common (in Unionpedia): Algebraic number theory, Euclidean domain, Field (mathematics), Greatest common divisor, Modular arithmetic, Natural number, Noetherian ring, Prime number, Principal ideal domain, Rational number.

Algebraic number theory

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

Algebraic number theory and Fundamental theorem of arithmetic · Algebraic number theory and Integer · See more »

Euclidean domain

In mathematics, more specifically in ring theory, a Euclidean domain (also called a Euclidean ring) is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of the integers.

Euclidean domain and Fundamental theorem of arithmetic · Euclidean domain and Integer · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Fundamental theorem of arithmetic · Field (mathematics) and Integer · See more »

Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Fundamental theorem of arithmetic and Greatest common divisor · Greatest common divisor and Integer · See more »

Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

Fundamental theorem of arithmetic and Modular arithmetic · Integer and Modular arithmetic · See more »

Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

Fundamental theorem of arithmetic and Natural number · Integer and Natural number · See more »

Noetherian ring

In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; that is, given any chain of left (or right) ideals: there exists an n such that: Noetherian rings are named after Emmy Noether.

Fundamental theorem of arithmetic and Noetherian ring · Integer and Noetherian ring · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Fundamental theorem of arithmetic and Prime number · Integer and Prime number · See more »

Principal ideal domain

In abstract algebra, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element.

Fundamental theorem of arithmetic and Principal ideal domain · Integer and Principal ideal domain · See more »

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Fundamental theorem of arithmetic and Rational number · Integer and Rational number · See more »

The list above answers the following questions

Fundamental theorem of arithmetic and Integer Comparison

Fundamental theorem of arithmetic has 59 relations, while Integer has 111. As they have in common 10, the Jaccard index is 5.88% = 10 / (59 + 111).

References

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