Factors of 24

Have you ever had one of those days? You have been super busy all week, but everything is due at the end of the day. So, you have 24 hours to get everything on your to-do list finished. It’s a tall order. Let’s look at the list. Each item on your to-do list below will take about the same amount of time. You just need to get everything done.

You may not have enough sleep time as usual, but that’s okay since you can make up your sleep the next day. Let’s look at your to-do list below.

You may not have enough sleep time as usual

Wow! That to-do list seems like a lot of work. You want to determine how long each task will take if you allot the same amount of time for each item. Remember, you have 24 hours before everything needs to get done. How would you go about knowing how long to spend on each item? You will need to use the factors of 24 to find that out.

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Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24

So, to schedule the appropriate amount of time to each item on our to-do list, I will look at the factors of 24. This means that I need to find out the numbers from 24 and below that can evenly divide into 24. Let’s look at the steps for finding the factors of 24.

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24

With our schedule, we have 24 hours. Also, we have 6 tasks listed on our to-do list. So, we need to find out six’s factor partner. Its partner is 4 because 6 times 4 is 24. This means that each task will be done in 4 hours. Unfortunately, that only gives you 4 hours to sleep.

Challenging Questions

Question 1List the factors of 24

Which positive whole numbers divide 24 without leaving a remainder?

Answer

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

Each listed number divides the original number evenly.

Question 2Find the factor pairs of 24

Which multiplication pairs have a product of 24?

Answer

24 has these positive factor pairs: 1 × 24; 2 × 12; 3 × 8; 4 × 6.

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

Question 3Prime-factorize 24

What is the prime factorization of 24?

Answer

24 = 2 × 2 × 2 × 3.

Every number in the product is prime.

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