Factor (divisor)

Definition

A positive whole number that divides another whole number exactly, leaving no remainder; it is also called a divisor.

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Specification N4 · Paper 1, Paper 2, Paper 3

A factor, or divisor, divides a number exactly.
Revise: Primes, Factors, and Multiples

Specification N4 · Paper 1, Paper 2, Paper 3

1
Do not describe 1 as prime: a prime number has exactly two positive factors.
2
In a prime factor decomposition, continue until every factor is prime and write repeated primes using indices.
3
List factors in pairs so that none are missed; stop when the two numbers in a pair meet or cross.

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A factor divides a number exactly.

Specification 1.02a · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)

A whole number that divides another whole number exactly, with no remainder; also called a divisor.
A product is odd only when every factor being multiplied is odd; if it contains an even factor, the product is even.
Revise: Number Properties