a product of an integer

USAGE SUMMARY

The phrase "a product of an integer" is correct and usable in written English.
It can be used in mathematical contexts to describe a result obtained by multiplying an integer by another number or integer. Example: "The number 12 is a product of an integer, as it can be obtained by multiplying 3 and 4."

✓ Grammatically correct

Science

Wiki

Academia

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

When the time-bandwidth product is an integer multiple of 2, the BFT impulse peak is at the discrete k.

EURASIP Journal on Wireless Communications and Networking

(i) Without any co-existing systems, replica interference in the system can be completely avoided if the beam pattern switching rate of a user is an integer multiple of the product of the OFDM sampling rate and the number of receiving beam patterns.

EURASIP Journal on Wireless Communications and Networking

Add the numerator, or the top portion of the fraction, to the product of the integer and denominator previously calculated in the last step.

WikiHow

(A factorial is the product of all positive integers less than or equal to a given number). The students are generally correct and seem enthralled.

Los Angeles Times

Znám's problem asks which sets of integers have the property that each integer in the set is a proper divisor of the product of the other integers in the set, plus 1.

Wikipedia

In number theory, Znám's problem asks which sets of k integers have the property that each integer in the set is a proper divisor of the product of the other integers in the set, plus 1. Znám's problem is named after the Slovak mathematician Štefan Znám, who suggested it in 1972, although other mathematicians had considered similar problems around the same time.

Wikipedia

consisting of an integer (0 or 1).

University of California, Berkeley

So, the absolute value of an integer is always an integer.

WikiHow

Factorial, in mathematics, the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.

Britannica

A closely related problem concerns sets of integers in which each integer in the set is a divisor, but not necessarily a proper divisor, of one plus the product of the other integers in the set.

Wikipedia

+⋯ where the factorial symbol (k!) indicates the product of the integers from k down to 1.

Britannica

Expert writing Tips

Best practice

When using the phrase "a product of an integer", clearly define the other factor involved in the multiplication to avoid ambiguity.

Common error

Avoid using "a product of an integer" when you mean a factor of an integer. The phrase describes the result of multiplication, not the components.

Linguistic Context

The phrase "a product of an integer" functions as a mathematical descriptor, specifying that a particular value is the result of multiplying an integer by another number. Ludwig suggests that this phrase is grammatically correct and usable.

Expression frequency: Missing

Frequent in

Science

35%

Academia

33%

Wiki

32%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "a product of an integer" is a grammatically sound mathematical descriptor used to define a numerical relationship. As Ludwig confirms, the phrase is correct and suitable for use. It typically appears in formal, scientific, and academic contexts, indicating a value obtained by multiplying an integer by another number. While sources like Wikipedia and Britannica use it, remember to precisely define all factors to ensure clarity. Related phrases include "multiple of an integer" and "integer multiple", offering similar but subtly different ways to express the same mathematical idea.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

multiple of an integer

Replaces "product" with "multiple", focusing on the result of multiplication.

integer multiple

Rearranges the words to emphasize the integer nature of the multiple.

result of multiplying an integer

Rephrases to explicitly state the multiplication operation.

an integer factor

Uses "factor" to denote a number that divides an integer evenly.

integer divisor

Emphasizes division instead of multiplication.

whole number product

Uses "whole number" as a synonym for integer.

integer times a number

Expresses the product in terms of multiplication by a number.

integer multiplied by a value

Clearly states that a value is multiplied by an integer.

numerical product involving integers

A broader phrase indicating that integers are part of a product

integer-derived result

Highlights that the result is obtained based on an integer.

FAQs

How to use "a product of an integer" in a sentence?

Use "a product of an integer" to describe a value obtained by multiplying an integer by another number. For example, "15 is a product of an integer (3) and 5".

What's the difference between "a product of an integer" and "a multiple of an integer"?

"A product of an integer" refers to the result of multiplying an integer by any number, while "a multiple of an integer" implies multiplying the integer by another integer.

Can "a product of an integer" be a fraction?

Yes, "a product of an integer" can be a fraction if the integer is multiplied by a fraction. For example, 0.5 is the product of 1 and 0.5.

What can I say instead of "a product of an integer"?

Depending on the context, you can use "multiple of an integer", "integer multiple", or "result of multiplying an integer".