On the 5th of December, many children in the world prepare for a visit from Saint Nickolas by polishing their boots. Hopefully, they have been good boys or girls all year and will find those boots filled the next morning with their favorite candies. Here’s a boot-shaped puzzle for you to solve.
Turkeys run but they cannot hide. They all will eventually end up on somebodies’ table. There doesn’t seem to be much of a mystery about that, but I’ve created a mystery level puzzle for today anyway. I promise it can be solved using logic and the basic facts in a 12 × 12 multiplication table.
Now I’ll share some facts about the number 1299:
1299 is a composite number.
Prime factorization: 1299 = 3 × 433
The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1299 has exactly 4 factors.
Factors of 1299: 1, 3, 433, 1299
Factor pairs: 1299 = 1 × 1299 or 3 × 433
1299 has no square factors that allow its square root to be simplified. √1299 ≈ 36.04164
1299 is the hypotenuse of a Pythagorean triple:
435-1224-1299 which is 3 times (145-408-433)
Stetson.edu informs us that 8¹²⁹⁹ ≈ 1299 × 10¹¹⁷⁰. You can see it for yourself on a computer calculator!
I continue to be very grateful to WordPress and the WordPress community for making blogging and publishing easy and enjoyable. I am also very grateful to my readers who have done so much to make this blog grow.
I’m a lot busier now than I was five years ago. Besides blogging, I have a full-time job and a part-time job. I like both of these jobs because I like helping students understand mathematics better. Sometimes I don’t have the time I would like to work on my blog. Nevertheless, I still have blogging goals I want to reach so lately I find myself playing catch-up more often than not.
Now I’ll write a little about the number 1270:
1270 is a composite number.
Prime factorization: 1270 = 2 × 5 × 127
The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1270 has exactly 8 factors.
There are legends of Dr. Frankenstein creating a monster years ago. Nowadays Frankenstein’s Monster can often be seen walking through neighborhoods on Halloween night. This puzzle looks a little bit like him.
Candy Corn is a soft traditional Halloween candy. I hope this puzzle is a sweet treat for you to solve! Just write the numbers from one to 10 in the first column and the top row so that the puzzle becomes a sort of multiplication table with the given clues becoming the products of the factors you write.