When one natural number (the "dividend") is divided by another natural number (the "divisor"), the result is a "quotient" and a "remainder".

When the remainder is zero:

• the dividend is divisible by the divisor (and the dividend is divisible by the quotient)
• both the quotient and divisor are factors of the dividend.

When the remainder is NOT zero:

• the dividend is NOT divisible by the divisor (and the dividend is NOT divisible by the quotient)
• neither the quotient nor the divisor are factors of the dividend.

When the remainder is not zero, neither the quotient nor the divisor are factors of the dividend.

One natural number is divisible by another natural number if the remainder is zero when .

• divisibility by 2
• divisibility by 3
• divisibility by 4
• divisibility by 5
• divisibility by 6
• divisibility by 8
• divisibility by 9
• divisibility by 10