The term "indivisible by" refers to a number that cannot be divided evenly by another number without leaving a remainder. It is commonly written as "not divisible by" or "cannot be divided by." In IPA phonetic transcription, the word is pronounced as /ˌɪndɪˈvɪzəbəl baɪ/. The spelling of "indivisible by" can be explained by breaking down each syllable: "in-div-i-si-ble" and "by." The emphasis is on the second syllable, "div," and the final "e" is silent.
The term "indivisible by" is a mathematical concept used to describe the property of a number or quantity that cannot be evenly divided or divided with a remainder by another number or quantity. When a number is indivisible by another number, it means that it cannot be divided into equal parts without leaving a remainder.
More specifically, if a number X is indivisible by another number Y, then there is no integer that can be multiplied by Y to get X without leaving a fractional or decimal part. In other words, Y does not divide X evenly.
This concept is closely related to prime numbers, as a number is considered prime if it is divisible only by 1 and itself, indicating that it is indivisible by any other number. For example, the number 7 is indivisible by 2, 3, 4, 5, and 6, but it is divisible by 1 and 7.
When determining whether a number is indivisible by another number, one usually performs a division operation and checks if the remainder is zero. If the remainder is not zero, it means that the two numbers are not divisible or that the first number is indivisible by the second number.
Understanding the concept of being indivisible by is fundamental in various mathematical fields such as number theory, algebra, and arithmetic, where it is utilized to analyze properties of numbers and solve problems related to factors, multiples, and divisibility.
The word "indivisible" has its origins in Latin. It comes from the Latin word "indivisibilis", which is derived from the prefix "in-" (meaning "not") and the verb "dividere" (meaning "to divide"). Therefore, "indivisible" literally means "not able to be divided".
The phrase "indivisible by" is formed by combining the word "indivisible" with the preposition "by". When used in mathematics or quantitative contexts, "indivisible by" indicates that a number cannot be evenly divided by another number without a remainder.