The multiplication and division fact family for the number family two, three and six includes "2x3=6," "3x2=6," "6÷5=2" and "6÷2=3," and the facts that accompany the four, five and 20 family are "4x5=20," "5x4=20," "20÷4=5" and "20÷5=4." A fact family is a group of related mathematical facts, either addition and subtraction or multiplication and division, that all contain the same two or three numbers. Fact families help students recognize relationships between numbers to strengthen their basic math skills.
Multiplication and division fact families typically start with pairs of numbers between zero and 12, such as five and 10. These numbers and their product form a number family. Five times 10 is 50, so this number family consists of the related numbers: five, 10 and 50. Some number families include just two numbers each, such as seven and 49.
Four related math facts make up a fact family: the multiplication fact that created the third member of the number family, its related multiplication fact, the division fact related to the two and its related division fact. For instance, "5x10=50," "10x5=50," "50÷5=10" and "50÷10=5" make up the five-10-50 family.
Number families with just two numbers, such as the seven-49 family, have just two related facts. In this example, "7x7=49" and "49÷7=7" are the only members of the fact family.