Factors of 75

Introduction

By the time people reach the age of 75, they have reached a milestone. Many people have retired from their careers. They are moving to Florida and playing golf. However, many organizations place ages in a range with 75 being at the end of one of those age ranges.

Let’s look at these age ranges on a health insurance form. Look at the ranges below. They contain the same amount of ages up to age 75. We will focus on the age ranges from 75 and below.

Factors of 75

If you had to check the box, you may realize the way in which this health insurance company set up the age ranges. It may have been set up based on certain diseases or injuries that are usually contracted during that age range. Now, see if you can explain how factors play a part in the division of ages for this question on the health insurance form.

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The Many Factors of 75

You will need to find all the factors for 75. One of the best ways to do this is to follow a set of rules. These rules below will show you how to find these factors for 75.

The Many Factors of 75

With the health insurance form, we can explain that each age range group includes 15 years. So, 15 is a factor of 75. There are 5 groups of 15 years by the time you get to 75 years old. There is another age range group past 75, but we are only looking at those that are 75 and younger. Therefore, the factors of 75 are 1, 3, 5, 15, 25, and 75.

The Many Factors of 75

Challenging Questions

Question 1List the factors of 75

Which positive whole numbers divide 75 without leaving a remainder?

Answer

The factors of 75 are 1, 3, 5, 15, 25, 75.

Each listed number divides the original number evenly.

Question 2Find the factor pairs of 75

Which multiplication pairs have a product of 75?

Answer

75 has these positive factor pairs: 1 × 75; 3 × 25; 5 × 15.

Multiplying the two numbers in any pair gives the original number.

Question 3Prime-factorize 75

What is the prime factorization of 75?

Answer

75 = 3 × 5 × 5.

Every number in the product is prime.

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