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  • Factor Pairs Explained: A Simple Guide to Multiplying Numbers

    By Eric Tosso | Updated Aug 30, 2022

    What Is a Natural Number?

    A natural number is any positive integer—whole numbers greater than zero. Numbers like 1, 28, 100 are natural; 28.5 or -3 are not.

    Understanding Multiplication

    Multiplication combines two or more numbers to produce a product. For example, 2 × 3 = 6, where 6 is the product of 2 and 3.

    Defining a Factor

    A factor is a number that divides another number without leaving a remainder. In the product 5 × 6 = 30, the numbers 5 and 6 are factors of 30.

    Identifying Factor Pairs

    Every natural number can be expressed as a product of at least one pair of factors. For instance:

    • 17 has only one factor pair: 1 and 17.
    • 28 can be factored as 1 × 28, 2 × 14, and 4 × 7.

    Each pair of numbers that multiplies to a specific product is called a factor pair. Prime numbers, like 17, have only the trivial pair 1 and itself.

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