(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)
1 The factor pairs of 100 are 1 and 100, 2 and 50, 4 and 25, 5 and 20, and 10 and 10. The factor pairs of 49 are 1 and 49, and 7 and 7. Since the only factor they share is 1, 1 is their greatest common factor.
Factors are numbers you can multiply together to get another number. The factor pairs are: (1, 52) (2, 26) (4, 13)
The only common factor of these numbers is 1.
All numbers have factors. It is possible to list them as pairs. The factors of 12 are 1, 2, 3, 4, 6 and 12. The factor pairs of 12 are (12,1)(6,2)(4,3)
So, when two negative numbers multiply, their product is a positive number (Remember the rule: minus x minus = plus). So, both the numbers in the factor pair should be either negative or positive to give a positive number as a product. For example: (-3 and -6) and (-2 and -9) form factor pairs for 18.
1 The factor pairs of 100 are 1 and 100, 2 and 50, 4 and 25, 5 and 20, and 10 and 10. The factor pairs of 49 are 1 and 49, and 7 and 7. Since the only factor they share is 1, 1 is their greatest common factor.
A prime number, P, has only two factor pairs: (1, P) and (P, 1).
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
Factors are numbers you can multiply together to get another number. The factor pairs are: (1, 52) (2, 26) (4, 13)
Split 100 into factor pairs. So we have: 100 x 1 50 x 2 25 x 4 20 x 5 10 x 10
7
1 and 1
All numbers have factors. It is possible to list them as pairs. The factors of 12 are 1, 2, 3, 4, 6 and 12. The factor pairs of 12 are (12,1)(6,2)(4,3)
The only common factor of these numbers is 1.
17 has one factor pair, 1 and 17.
So, when two negative numbers multiply, their product is a positive number (Remember the rule: minus x minus = plus). So, both the numbers in the factor pair should be either negative or positive to give a positive number as a product. For example: (-3 and -6) and (-2 and -9) form factor pairs for 18.
"Distinct" in this case means different. Sometimes factors are repeated. Square numbers have a factor pair that is the same number twice. When we write out the list of numbers, we don't write that number twice. The factor pairs of 100 are (100,1)(50,2)(25,4)(20,5)(10,10) The distinct factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100