Introduction
Ted wants to read the entire Bible as soon as possible in order to teach his next Bible study class. There are 66 books in the Bible from both sections. To do this, Ted can’t read the entire Bible in one sitting, so he decides to divide up the Bible into sections. Then he will read each section a night. Ted’s Bible study class begins in a month. What is the best way to equally divide up the books of the Bible so that Ted will finish in 30 days, but he uses as many days as possible? Use the factors of 66 to find the answer.
The ultimate learning platform that every parent needs in a K-8th grade household - to boost scores and confidence!
Monthly
Monthly
Everything is included. Anywhere!$12.99
/month$40.00
$12.99- 3 Days Money Back Guaranteed
- All Updates and Additions
Factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66
Look at the groups below. It shows the different factor groups.
This shows one group of 66 green beans. Both one and 66 are factors of 66. They equally divide into 66 without having remainders.
This picture shows another factor of 66. That is 33. These are 2 groups with 33 toy pieces in each of them. Factors of 66 include 33 and 2.
Three bunches of flowers are shown. Each bunch has 22 flowers in each bunch. Both 3 and 22 are factors of 66.
You see a dice with 6 dots on the dice. There are 11 die. These are like groups, so each group has 6 dots on them. Both 6 and 11 are factors of 66.
So, you know that there are 8 factors for 66. These are 1, 2, 3, 6, 11, 22, 33, and 66. With the books of the Bible, Ted wants to finish reading them in 30 days, so the factor will need to be less than 30. Twenty-two is the closest to 30 without going over. So, there will be 22 days with 3 books of the Bible read during each of the 22 days. However, 22 is a factor of 66 and it needs to be the factor partner of 22. That would be 3.
Challenging Questions
Question 1List the factors of 66
Which positive whole numbers divide 66 without leaving a remainder?
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 66
Which multiplication pairs have a product of 66?
66 has these positive factor pairs: 1 × 66; 2 × 33; 3 × 22; 6 × 11.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 66
What is the prime factorization of 66?
66 = 2 × 3 × 11.
Every number in the product is prime.
