Q:

# What are the factors of 60?

A:

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60. The factors of 60 are the numbers that can be multiplied together to achieve the product 60.

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Factor pairs are determined by calculating which number multiplied by another achieves the desired product. One and the number are always a factor. To determine which additional numbers are factors, they should be paired sequentially. Even numbers are always divisible by 2 and another number. The next step is determining if the number is evenly divisible by 3, 4, and so on. Numbers ending in 5 or 0 are always divisible by 5, and numbers ending in 0 are always divisible by 10. The factor pairs should be calculated until the numbers overlap. For example, after the factor pair of 6 and 10 the number 60 is not divisible by 7, 8, or 9. The next number is 10, which is already a listed factor.

Factors help when performing calculations with large numbers, fractions and in logic-based problem solving. For example, when determining how many tables are needed for a party of 60, given that tables may seat four or six, factors guide the needed calculations. The event planner needs to reserve 15 tables for four or 10 tables for six.

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