If you are familiar with a basic 12 × 12 multiplication table, then you can solve this puzzle. The clues aren’t in the same order as they are in the table, but that only makes it a little more challenging.
Level 2 puzzles are much more interesting-looking than level 1 puzzles, but they are still relatively easy for beginners to solve. I decided to put all the level 2 puzzles from 2018 into one collection. You can use the image I put at the top of the post to work on solving them or you can find the complete collection at Level 2’s from 2018.
Now I’ll write a little bit about the number 1343:
1343 is a composite number.
Prime factorization: 1343 = 17 × 79
1343 has no exponents greater than 1 in its prime factorization, so √1343 cannot be simplified.
The exponents in the prime factorization are 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1343 has exactly 4 factors.
The factors of 1343 are outlined with their factor pairs in the graphic below.
1343 is the hypotenuse of a Pythagorean triple:
632-1185-1343 which is (8-15-17) times 79
Stetson.edu informs us that 1343 is 16 numbers away from the closest prime number, and it is the smallest number that can make that claim.
You only need a few clues in the right places to figure out where all the factors from 1 to 12 belong in this mixed up multiplication table puzzle. You can use those clues to put the factors in the right places and solve this one!
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.
Multiplication tables usually have facts up to 10 × 10 = 100 or possibly 12 × 12 = 144. Numbers like 64 and 25 appear only once in those multiplication tables. Those two clues can help you get a good start solving this level 2 puzzle.
The exponent of prime number 1303 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 1303 has exactly 2 factors.
Factors of 1303: 1, 1303
Factor pairs: 1303 = 1 × 1303
1303 has no square factors that allow its square root to be simplified. √1303 ≈ 36.09709
How do we know that 1303 is a prime number? If 1303 were not a prime number, then it would be divisible by at least one prime number less than or equal to √1303 ≈ 36.1. Since 1303 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 or 31, we know that 1303 is a prime number.
1303 is the sum of three consecutive primes:
431 + 433 + 439 = 1303
Do multiplication and division facts seem like something you threw out long ago but still come back to hit you? Perhaps this puzzle can help you get more familiar with those facts so they won’t hurt you so much anymore.