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Print the puzzles or type the solution in this excel file: 10-factors-1221-1231

Here is some information about the number 1230:

1230 ends with a zero so it is divisible by 2 and 5.

It is a number formed by three consecutive numbers and a zero so it is divisible by 3.

- 1230 is a composite number.
- Prime factorization: 1230 = 2 × 3 × 5 × 41
- The exponents in the prime factorization are 1, 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 × 2 = 16. Therefore 1230 has exactly 16 factors.
- Factors of 1230: 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
- Factor pairs: 1230 = 1 × 1230, 2 × 615, 3 × 410, 5 × 246, 6 × 205, 10 × 123, 15 × 82, or 30 × 41
- 1230 has no square factors that allow its square root to be simplified. √1230 ≈ 35.07136

1230 is the hypotenuse of four Pythagorean triples:

270-1200-1230 which is **30** times (9-40-**41**)

504-1122-1230 which is **6** times (84-187-**205**)

738-984-1230 which is (3-4-**5**) times **246**

798-936-1230 which is **6** times (133-156-**205**)