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441: 44 + 1 × 19 = 44 + 19 = 63 = 21 × 3. It is divisible by 3 and by 7. [6] 231: it is divisible by 3 and by 7. 22: It is divisible by 2 and by 11. [6] 352: it is divisible by 2 and by 11. 23: Add 7 times the last digit to the rest. (Works because 69 is divisible by 23.) 3,128: 312 + 8 × 7 = 368: 36 + 8 × 7 = 92. Add 3 times the last two ...
Hailstone sequences can be computed by the 2-tag system with production rules ... the only surviving residues mod 32 are 7, 15, 27, and 31. Integers divisible by 3 ...
The smallest base greater than binary such that no three-digit narcissistic number exists. 80: Octogesimal: Used as a sub-base in Supyire. 85: Ascii85 encoding. This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 ...
It is also a Friedman number, since 153 = 3 × 51. The Biggs–Smith graph is a symmetric graph with 153 edges, all equivalent. Another feature of the number 153 is that it is the limit of the following algorithm: [5] [6] [7] Take a random positive integer, divisible by three; Split that number into its base 10 digits; Take the sum of their cubes
A number's being divisible by 4 is sufficient (but not necessary) for it to be even, but being divisible by 2 is both sufficient and necessary for it to be even. Example 3 An occurrence of thunder is a sufficient condition for the occurrence of lightning in the sense that hearing thunder, and unambiguously recognizing it as such, justifies ...
Cuisenaire rods: 5 (yellow) cannot be evenly divided in 2 (red) by any 2 rods of the same color/length, while 6 (dark green) can be evenly divided in 2 by 3 (lime green). In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. [1]
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
Exactly one of a, b is divisible by 2 (is even), and the hypotenuse c is always odd. [13] Exactly one of a, b is divisible by 3, but never c. [14] [8]: 23–25 Exactly one of a, b is divisible by 4, [8] but never c (because c is never even). Exactly one of a, b, c is divisible by 5. [8] The largest number that always divides abc is 60. [15]