(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)
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
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: 908, 127, 651,768
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.
121,212
These are the factor pairs of 1218: 1218,1 609,2 406,3 203,6 174,7 87,14 58,21 42,29
Prime numbers have one factor pair. Composite numbers have two or more pairs. (6,8) and (4,12) are two different factor pairs for 48.
To find factor pairs of a number, you divide that number by each integer in turn. If the number divides evenly, you take that divisor, and its answer, as a factor pair. 36 can divide by 1, 2, 3, 4, 6, 9, 12, 18 and 36. Thus the factor pairs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, and 6 and 6.
Find the factor pairs of each number. The greatest factor in common is the GCF. A hint, the definition of a prime number is a number with only two factors: 1 and itself.
200,205, 10
3 x 7 = 21
2+3,11+3,3+17
7
5 and 10 15 and 20 25 and 30
Step 1 : Prime Factorise each number and write in index notation. Step 2 : Multiply the lowest power of each common factor of the given numbers
The factor pairs of 286 are (143,2)(26,11)(22,13) Only one number in each pair is prime.
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.