Introduction
As you and your family are driving down the road, you notice a sign that reads “38 miles to the next town.” That seems okay because you have some gas in your car. Think about if your car will make it to the next town for gas if you know that each gallon of gas will let you go 17 miles. Right now, how much gas must you have in order to make it to the next town.
Use the factors of 38 to determine whether you will be driving to the next town or pushing your car to the next gas station.
Factors of 38
To find the factors of 38, we will group people. Each group of people should equal to 38 if multiplied together. If the number is not there, this means that the number cannot be evenly divided into 38. Otherwise, there would be a remainder.
With the situation with you and your family driving 38 miles to the next town, you know that each gall of gas in your vehicle will allow you to travel 17 miles. Using the factors of 38, you would need to know 17’s factor partner. In this case, the answer is 2. Two gallons is the amount needed to allow you and your family to get to the next town.
Challenging Questions
Question 1List the factors of 38
Which positive whole numbers divide 38 without leaving a remainder?
The factors of 38 are 1, 2, 19, 38.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 38
Which multiplication pairs have a product of 38?
38 has these positive factor pairs: 1 × 38; 2 × 19.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 38
What is the prime factorization of 38?
38 = 2 × 19.
Every number in the product is prime.
