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What 4 digit numbers have 3 and 13 as factors?
1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911, 1950, 1989, 2028, 2067, 2106, 2145, 2184, 2223, 2262, 2301, 2340, 2379, 2418, 2457, 2496, 2535, 2574, 2613, 2652, 2691, 2730, 2769, 2808, 2847, 2886, 2925, 2964, 3003, 3042, 3081, 3120, 3159, 3198, 3237, 3276, 3315, 3354, 3393, 3432, 3471, 3510, 3549, 3588, 3627, 3666, 3705, 3744, 3783, 3822, 3861, 3900, 3939, 3978, 4017, 4056, 4095, 4134, 4173, 4212, 4251, 4290, 4329, 4368, 4407, 4446, 4485, 4524, 4563, 4602, 4641, 4680, 4719, 4758, 4797, 4836, 4875, 4914, 4953, 4992, 5031, 5070, 5109, 5148, 5187, 5226, 5265, 5304, 5343, 5382, 5421, 5460, 5499, 5538, 5577, 5616, 5655, 5694, 5733, 5772, 5811, 5850, 5889, 5928, 5967, 6006, 6045, 6084, 6123, 6162, 6201, 6240, 6279, 6318, 6357, 6396, 6435, 6474, 6513, 6552, 6591, 6630, 6669, 6708, 6747, 6786, 6825, 6864, 6903, 6942, 6981, 7020, 7059, 7098, 7137, 7176, 7215, 7254, 7293, 7332, 7371, 7410, 7449, 7488, 7527, 7566, 7605, 7644, 7683, 7722, 7761, 7800, 7839, 7878, 7917, 7956, 7995, 8034, 8073, 8112, 8151, 8190, 8229, 8268, 8307, 8346, 8385, 8424, 8463, 8502, 8541, 8580, 8619, 8658, 8697, 8736, 8775, 8814, 8853, 8892, 8931, 8970, 9009, 9048, 9087, 9126, 9165, 9204, 9243, 9282, 9321, 9360, 9399, 9438, 9477, 9516, 9555, 9594, 9633, 9672, 9711, 9750, 9789, 9828, 9867, 9906, 9945, 9984 All numbers that have 3 and 13 as factors are multiples of the LCM of 3 and 13 which is 39. The 4 digit numbers are 1000 to 9999 and of these, the multiples of 39 are: 1000 ÷ 39 = 2525/39 ⇒ first multiple of 39 greater than or equal to 1000 is 26 x 39 = 1014 9999 ÷ 39= 25615/39 ⇒ last multiple of 39 less than or equal to 9999 is 256 x 39 = 9984 Thus the multiples from 26 to 256 of 39 are the 4 digit numbers with 3 and 13 as factors.
All possible combinations for numbers 0-9?
9
