0
(1,1)
(2,1)
(3,1)
(4,1)(2,2)
(5,1)
(6,1)(3,2)
(7,1)
(8,1)(4,2)
(9,1)(3,3)
(10,1)(5,2)
(11,1)
(12,1)(6,2)(4,3)
(13,1)
(14,1)(7,2)
(15,1)(5,3)
(16,1)(8,2)(4,4)
(17,1)
(18,1)(9,2)(6,3)
(19,1)
(20,1)(10,2)(5,4)
(21,1)(7,3)
(22,1)(11,2)
(23,1)
(24,1)(12,2)(8,3)(6,4)
(25,1)(5,5)
(26,1)(13,2)
(27,1)(9,3)
(28,1)(14,2)(7,4)
(29,1)
(30,1)(15,2)(10,3)(6,5)
(31,1)
(32,1)(16,2)(8,4)
(33,1)(11,3)
(34,1)(17,2)
(35,1)(7,5)
(36,1)(18,2)(12,3)(9,4)(6,6)
(37,1)
(38,1)(19,2)
(39,1)(13,3)
(40,1)(20,2)(10,4)(8,5)
(41,1)
(42,1)(21,2)(14,3)(7,6)
(43,1)
(44,1)(22,2)(11,4)
(45,1)(15,3)(9,5)
(46,1)(23,2)
(47,1)
(48,1)(24,2)(16,3)(12,4)(8,6)
(49,1)(7,7)
(50,1)(25,2)(10,5)
(51,1)(17,3)
(52,1)(26,2)(13,4)
(53,1)
(54,1)(27,2)(18,3)(9,6)
(55,1)(11,5)
(56,1)(28,2)(14,4)(8,7)
(57,1)(19,3)
(58,1)(29,2)
(59,1)
(60,1)(30,2)(20,3)(15,4)(12,5)(10,6)
(61,1)
(62,1)(31,2)
(63,1)(21,3)(9,7)
(64,1)(32,2)(16,4)(8,8)
(65,1)(13,5)
(66,1)(33,2)(22,3)(11,6)
(67,1)
(68,1)(34,2)(17,4)
(69,1)(23,3)
(70,1)(35,2)(14,5)(10,7)
(71,1)
(72,1)(36,2)(24,3)(18,4)(12,6)(9,8)
(73,1)
(74,1)(37,2)
(75,1)(25,3)(15,5)
(76,1)(38,2)(19,4)
(77,1)(11,7)
(78,1)(39,2)(26,3)(13,6)
(79,1)
(80,1)(40,2)(20,4)(16,5)(10,8)
(81,1)(27,3)(9,9)
(82,1)(41,2)
(83,1)
(84,1)(42,2)(28,3)(21,4)(14,6)(12,7)
(85,1)(17,5)
(86,1)(43,2)
(87,1)(29,3)
(88,1)(44,2)(22,4)(11,8)
(89,1)
(90,1)(45,2)(30,3)(18,5)(15,6)(10,9)
(91,1)(13,7)
(92,1)(46,2)(23,4)
(93,1)(31,3)
(94,1)(47,2)
(95,1)(19,5)
(96,1)(48,2)(32,3)(24,4)(16,6)(12,8)
(97,1)
(98,1)(49,2)(14,7)
(99,1)(33,3)(11,9)
(100,1)(50,2)(25,4)(20,5)(10,10)
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How can you find the product of mixed numbers?
step 1 write each mixed number as an improper fraction step 2 look for common factor and simplify step 3 multiply write the product as a mixed number
How do you know that you have all the factor pairs in a given number?
It is possible to predict the number of factors of a given number just from knowing the prime factorization. If you list the p.f. with exponents, add one to each exponent and multiply them, you will have the total number of factors. Sounds complicated. Let's look at some examples. 2 x 3 = 6 (2^1 x 3^1 = 6) Any number without an exponent actually has the implied exponent 1. Adding one to each and multiplying gives us 2 x 2 = 4 Six has four factors. That's two factor pairs. 2^3 x 3^2 = 72 4 x 3 = 12 72 has 12 factors. 6 factor pairs. Square numbers are tricky. 3^2 x 3^2 = 81 3 x 3 = 9 81 has 9 factors but 5 factor pairs, since one of the factors (the square root) will be listed twice in a factor pair. Any time you have an even number of factors, cut it in half for the factor pairs. Any time you have an odd number of factors, add one and cut it in half.
Write the two hundreds each number is between?
write the two hundreds each number: 908, 127, 651,768
How many such pairs of digits are there in number 36725918 each of which has as many digits between them in the number as when the digits are arranged in descending order within the numbers?
The number is: 36725918 In descending order that is: 98765321 The pairs of numbers that have as many digits between them in both are: 3,9 5,8 6,7 So there are three pairs.
Write each number in word form?
121,212
