Here is yet another Christmas tree for you to enjoy this holiday season.

# Mystery Level Puzzle

# 1324 Gingerbread Man

The Gingerbread man can be tricky so be careful while solving this puzzle. He has fooled and run away from many different people and animals. The mystery is can YOU outfox this one?

# 1318 Another Candy Cane

Candy canes are rarely alone. They almost always have a twin close-by. Nevertheless, this mystery-level candy cane puzzle only looks similar to the previous one. You will have to consider completely different factors to solve it.

Print the puzzles or type the solution in this excel file: 12 factors 1311-1319

# 1317 Candy Cane

Candy canes are a sweet tradition every Christmas. This mystery level puzzle won’t be easy, but it can be a sweet way to remember all the multiplication and division facts needed to solve it.

Print the puzzles or type the solution in this excel file: 12 factors 1311-1319

# 1299 Is This Puzzle a Real Turkey?

Happy Thanksgiving, everyone!

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!

# 1270 What’s Brewing on My 5-Year Blogiversary

As Halloween approaches, I remember that five years ago today, I hit the publish button for the first time, and my puzzles became available for anyone with an internet connection to use.

Today’s puzzle looks a little bit like a cauldron. What’s brewing on my 5-year blogiversary?

Print the puzzles or type the solution in this excel file: 10-factors-1259-1270

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.
- Factors of 1270: 1, 2, 5, 10, 127, 254, 635, 1270
- Factor pairs: 1270 = 1 × 1270, 2 × 635, 5 × 254, or 10 × 127
- 1270 has no square factors that allow its square root to be simplified. √1270 ≈ 35.63706

1270 is the hypotenuse of a Pythagorean triple:

762-1016-1270 which is (3-4-**5**) times **254**

# 1268 Halloween Cat Mystery

Cats can be quite mysterious. They are a favorite pet for many every day, even though suspicious stories abound about them on Halloween. Can you solve the mystery of this cat-like puzzle?

Print the puzzles or type the solution in this excel file: 10-factors-1259-1270

Now I’ll share a few facts about the number 317:

- 1268 is a composite number.
- Prime factorization: 1268 = 2 × 2 × 317, which can be written 1268 = 2
**²**× 317 - The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 × 2 = 6. Therefore 1268 has exactly 6 factors.
- Factors of 1268: 1, 2, 4, 317, 634, 1268
- Factor pairs: 1268 = 1 × 1268, 2 × 634, or 4 × 317
- Taking the factor pair with the largest square number factor, we get √1268 = (√4)(√317) = 2√317 ≈ 35.60899

28² + 22² = 1268

1268 is the hypotenuse of a Pythagorean triple:

300-1232-1268 calculated from 28² – 22², 2(28)(22), 28² + 22².

It is also **4** times (75-308-**317**)

# 1267 Frankenstein Mystery

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.

Print the puzzles or type the solution in this excel file: 10-factors-1259-1270

But if you take all the color away, he looks completely different and quite harmless:

Now I’ll share some information about the number 1267:

- 1267 is a composite number.
- Prime factorization: 1267 = 7 × 181
- 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 1267 has exactly 4 factors.
- Factors of 1267: 1, 7, 181, 1267
- Factor pairs: 1267 = 1 × 1267 or 7 × 181
- 1267 has no square factors that allow its square root to be simplified. √1267 ≈ 35.59494

1267 is the sum of nine consecutive prime numbers:

113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 = 1267

1267 is the hypotenuse of a Pythagorean triple:

133-1260-1267 which is **7** times (19-180-**181**)

# 1265 More Candy Corn

People don’t each candy corn every day and the only corn in it is corn syrup. We usually only see it this time of year. Here’s a puzzle with some candy corn for you to enjoy:

Print the puzzles or type the solution in this excel file: 10-factors-1259-1270

- 1265 is a composite number.
- Prime factorization: 1265 = 5 × 11 × 23
- 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 1265 has exactly 8 factors.
- Factors of 1265: 1, 5, 11, 23, 55, 115, 253, 1265
- Factor pairs: 1265 = 1 × 1265, 5 × 253, 11 × 115, or 23 × 55
- 1265 has no square factors that allow its square root to be simplified. √1265 ≈ 35.56684

1265 is the sum of the fifteen prime numbers from 53 to 113.

1265 is the hypotenuse of a Pythagorean triple:

759-1012-1265 which is (3-4-**5**) times **253**

# 1264 Dum Dums Mystery

Dum Dums have been around since 1924. If you go trick or treating, you will likely get at least one of these popular lollipops. Have fun solving the Dum Dums mystery puzzle I’ve made for you.

Print the puzzles or type the solution in this excel file: 10-factors-1259-1270

Here are a few facts about the number 1264:

- 1264 is a composite number.
- Prime factorization: 1264 = 2 × 2 × 2 × 2 × 79, which can be written 1264 = 2⁴ × 79
- The exponents in the prime factorization are 4 and 1. Adding one to each and multiplying we get (4 + 1)(1 + 1) = 5 × 2 = 10. Therefore 1264 has exactly 10 factors.
- Factors of 1264: 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264
- Factor pairs: 1264 = 1 × 1264, 2 × 632, 4 × 316, 8 × 158, or 16 × 79
- Taking the factor pair with the largest square number factor, we get √1264 = (√16)(√79) = 4√79 ≈ 35.55278

1264 is the sum of the first twenty-seven prime numbers. That’s all the prime numbers from 2 to 103.