Introduction
With only 72 days until Christmas, Tony wants to start buying presents for his large family now. He has 24 people to buy presents for. Of course, every member wants something unique. It takes Tony quite a while to find the perfect present for each family member. Tony decides to spend a few days finding each family member’s present. How many days will Tony spend finding each gift?
Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72
So, to find the exact number of days Tony will dedicate to finding each gift, I will look at the factors of 72. This means that I need to find out the numbers from 72 and below that can evenly divide into 72. Let’s look at the steps for finding the factors of 72.
So, the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. With Tony’s problem, we know that Tony has 24 family members. We need to find 24’s factor partner. Its factor partner is 3. Tony will spend 3 days for each gift.
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Challenging Questions
Question 1List the factors of 72
Which positive whole numbers divide 72 without leaving a remainder?
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 72
Which multiplication pairs have a product of 72?
72 has these positive factor pairs: 1 × 72; 2 × 36; 3 × 24; 4 × 18; 6 × 12; 8 × 9.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 72
What is the prime factorization of 72?
72 = 2 × 2 × 2 × 3 × 3.
Every number in the product is prime.
