Introduction
A man just turned 69 years old. It just so happens that every third of his life a major milestone takes place. The first milestone is when he got married. His second milestone is when his first grandchild was born. Now, this milestone will be when this man decides to retire.
Use the factors of 69 to find out when the man got married. Also, find out when his first grandchild was born.
Factors of 69 are 1, 3, 23 and 69
Certain steps are required in finding the factors of a number like 69. You may be able to tell right off the bat that 69 does not have a lot of factors for it. First, it is not an even number. Second, it is not a number that has a single-digit multiplication fact for it. However, let’s see if we can find all of the factors. There might be a surprise set of factors in there that you might not have thought of.
With the 69-year old man’s milestones, we needs to find the factors of 69. They are 1, 3, 23, and 69. Since there are 3 milestones, we need to find 3’s factor partner. It is 23. So, the man’s first milestone of marriage took place at 23 years old. His second milestone took place 23 years later at 46 years old. This is when his first grandchild was born.
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Challenging Questions
Question 1List the factors of 69
Which positive whole numbers divide 69 without leaving a remainder?
The factors of 69 are 1, 3, 23, 69.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 69
Which multiplication pairs have a product of 69?
69 has these positive factor pairs: 1 × 69; 3 × 23.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 69
What is the prime factorization of 69?
69 = 3 × 23.
Every number in the product is prime.
