It is 535 in BASE 13 because 5(13²) + 3(13) + 5(1) = 889.
It is 1D1 in BASE 24 (D is 13 base 10) because 1(24²) + 13(24) + 1(1) = 889.
Print the puzzles or type the solution on this excel file: 12 factors 886-896
889 is a composite number.
Prime factorization: 889 = 7 × 127
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 889 has exactly 4 factors.
Factors of 889: 1, 7, 127, 889
Factor pairs: 889 = 1 × 889 or 7 × 127
889 has no square factors that allow its square root to be simplified. √889 ≈ 29.816103
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581 is the sum of consecutive primes two different ways: 191 + 193 + 197 = 581, and the sum of all the prime numbers from 19 to 71 also is 581.
The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 581 has exactly 4 factors.
Factors of 581: 1, 7, 83, 581
Factor pairs: 581 = 1 x 581 or 7 x 83
581 has no square factors that allow its square root to be simplified. √581 ≈ 24.10394
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A Logical Approach to solve a FIND THE FACTORS puzzle: Find the column or row with two clues and find their common factor. Write the corresponding factors in the factor column (1st column) and factor row (top row). Because this is a level three puzzle, you have now written a factor at the top of the factor column. Continue to work from the top of the factor column to the bottom, finding factors and filling in the factor column and the factor row one cell at a time as you go.
