Factoring and Multiples

Assuming you mean the numbers between 1 and 1000 which are multiple of 8, they are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520, 528, 536, 544, 552, 560, 568, 576, 584, 592, 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696, 704, 712, 720, 728, 736, 744, 752, 760, 768, 776, 784, 792, 800, 808, 816, 824, 832, 840, 848, 856, 864, 872, 880, 888, 896, 904, 912, 920, 928, 936, 944, 952, 960, 968, 976, 984, 992, 1000

If you mean the first 1000 multiples of 8, they are the above plus:

1008, 1016, 1024, 1032, 1040, 1048, 1056, 1064, 1072, 1080, 1088, 1096, 1104, 1112, 1120, 1128, 1136, 1144, 1152, 1160, 1168, 1176, 1184, 1192, 1200, 1208, 1216, 1224, 1232, 1240, 1248, 1256, 1264, 1272, 1280, 1288, 1296, 1304, 1312, 1320, 1328, 1336, 1344, 1352, 1360, 1368, 1376, 1384, 1392, 1400, 1408, 1416, 1424, 1432, 1440, 1448, 1456, 1464, 1472, 1480, 1488, 1496, 1504, 1512, 1520, 1528, 1536, 1544, 1552, 1560, 1568, 1576, 1584, 1592, 1600, 1608, 1616, 1624, 1632, 1640, 1648, 1656, 1664, 1672, 1680, 1688, 1696, 1704, 1712, 1720, 1728, 1736, 1744, 1752, 1760, 1768, 1776, 1784, 1792, 1800, 1808, 1816, 1824, 1832, 1840, 1848, 1856, 1864, 1872, 1880, 1888, 1896, 1904, 1912, 1920, 1928, 1936, 1944, 1952, 1960, 1968, 1976, 1984, 1992, 2000, 2008, 2016, 2024, 2032, 2040, 2048, 2056, 2064, 2072, 2080, 2088, 2096, 2104, 2112, 2120, 2128, 2136, 2144, 2152, 2160, 2168, 2176, 2184, 2192, 2200, 2208, 2216, 2224, 2232, 2240, 2248, 2256, 2264, 2272, 2280, 2288, 2296, 2304, 2312, 2320, 2328, 2336, 2344, 2352, 2360, 2368, 2376, 2384, 2392, 2400, 2408, 2416, 2424, 2432, 2440, 2448, 2456, 2464, 2472, 2480, 2488, 2496, 2504, 2512, 2520, 2528, 2536, 2544, 2552, 2560, 2568, 2576, 2584, 2592, 2600, 2608, 2616, 2624, 2632, 2640, 2648, 2656, 2664, 2672, 2680, 2688, 2696, 2704, 2712, 2720, 2728, 2736, 2744, 2752, 2760, 2768, 2776, 2784, 2792, 2800, 2808, 2816, 2824, 2832, 2840, 2848, 2856, 2864, 2872, 2880, 2888, 2896, 2904, 2912, 2920, 2928, 2936, 2944, 2952, 2960, 2968, 2976, 2984, 2992, 3000, 3008, 3016, 3024, 3032, 3040, 3048, 3056, 3064, 3072, 3080, 3088, 3096, 3104, 3112, 3120, 3128, 3136, 3144, 3152, 3160, 3168, 3176, 3184, 3192, 3200, 3208, 3216, 3224, 3232, 3240, 3248, 3256, 3264, 3272, 3280, 3288, 3296, 3304, 3312, 3320, 3328, 3336, 3344, 3352, 3360, 3368, 3376, 3384, 3392, 3400, 3408, 3416, 3424, 3432, 3440, 3448, 3456, 3464, 3472, 3480, 3488, 3496, 3504, 3512, 3520, 3528, 3536, 3544, 3552, 3560, 3568, 3576, 3584, 3592, 3600, 3608, 3616, 3624, 3632, 3640, 3648, 3656, 3664, 3672, 3680, 3688, 3696, 3704, 3712, 3720, 3728, 3736, 3744, 3752, 3760, 3768, 3776, 3784, 3792, 3800, 3808, 3816, 3824, 3832, 3840, 3848, 3856, 3864, 3872, 3880, 3888, 3896, 3904, 3912, 3920, 3928, 3936, 3944, 3952, 3960, 3968, 3976, 3984, 3992, 4000, 4008, 4016, 4024, 4032, 4040, 4048, 4056, 4064, 4072, 4080, 4088, 4096, 4104, 4112, 4120, 4128, 4136, 4144, 4152, 4160, 4168, 4176, 4184, 4192, 4200, 4208, 4216, 4224, 4232, 4240, 4248, 4256, 4264, 4272, 4280, 4288, 4296, 4304, 4312, 4320, 4328, 4336, 4344, 4352, 4360, 4368, 4376, 4384, 4392, 4400, 4408, 4416, 4424, 4432, 4440, 4448, 4456, 4464, 4472, 4480, 4488, 4496, 4504, 4512, 4520, 4528, 4536, 4544, 4552, 4560, 4568, 4576, 4584, 4592, 4600, 4608, 4616, 4624, 4632, 4640, 4648, 4656, 4664, 4672, 4680, 4688, 4696, 4704, 4712, 4720, 4728, 4736, 4744, 4752, 4760, 4768, 4776, 4784, 4792, 4800, 4808, 4816, 4824, 4832, 4840, 4848, 4856, 4864, 4872, 4880, 4888, 4896, 4904, 4912, 4920, 4928, 4936, 4944, 4952, 4960, 4968, 4976, 4984, 4992, 5000, 5008, 5016, 5024, 5032, 5040, 5048, 5056, 5064, 5072, 5080, 5088, 5096, 5104, 5112, 5120, 5128, 5136, 5144, 5152, 5160, 5168, 5176, 5184, 5192, 5200, 5208, 5216, 5224, 5232, 5240, 5248, 5256, 5264, 5272, 5280, 5288, 5296, 5304, 5312, 5320, 5328, 5336, 5344, 5352, 5360, 5368, 5376, 5384, 5392, 5400, 5408, 5416, 5424, 5432, 5440, 5448, 5456, 5464, 5472, 5480, 5488, 5496, 5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5592, 5600, 5608, 5616, 5624, 5632, 5640, 5648, 5656, 5664, 5672, 5680, 5688, 5696, 5704, 5712, 5720, 5728, 5736, 5744, 5752, 5760, 5768, 5776, 5784, 5792, 5800, 5808, 5816, 5824, 5832, 5840, 5848, 5856, 5864, 5872, 5880, 5888, 5896, 5904, 5912, 5920, 5928, 5936, 5944, 5952, 5960, 5968, 5976, 5984, 5992, 6000, 6008, 6016, 6024, 6032, 6040, 6048, 6056, 6064, 6072, 6080, 6088, 6096, 6104, 6112, 6120, 6128, 6136, 6144, 6152, 6160, 6168, 6176, 6184, 6192, 6200, 6208, 6216, 6224, 6232, 6240, 6248, 6256, 6264, 6272, 6280, 6288, 6296, 6304, 6312, 6320, 6328, 6336, 6344, 6352, 6360, 6368, 6376, 6384, 6392, 6400, 6408, 6416, 6424, 6432, 6440, 6448, 6456, 6464, 6472, 6480, 6488, 6496, 6504, 6512, 6520, 6528, 6536, 6544, 6552, 6560, 6568, 6576, 6584, 6592, 6600, 6608, 6616, 6624, 6632, 6640, 6648, 6656, 6664, 6672, 6680, 6688, 6696, 6704, 6712, 6720, 6728, 6736, 6744, 6752, 6760, 6768, 6776, 6784, 6792, 6800, 6808, 6816, 6824, 6832, 6840, 6848, 6856, 6864, 6872, 6880, 6888, 6896, 6904, 6912, 6920, 6928, 6936, 6944, 6952, 6960, 6968, 6976, 6984, 6992, 7000, 7008, 7016, 7024, 7032, 7040, 7048, 7056, 7064, 7072, 7080, 7088, 7096, 7104, 7112, 7120, 7128, 7136, 7144, 7152, 7160, 7168, 7176, 7184, 7192, 7200, 7208, 7216, 7224, 7232, 7240, 7248, 7256, 7264, 7272, 7280, 7288, 7296, 7304, 7312, 7320, 7328, 7336, 7344, 7352, 7360, 7368, 7376, 7384, 7392, 7400, 7408, 7416, 7424, 7432, 7440, 7448, 7456, 7464, 7472, 7480, 7488, 7496, 7504, 7512, 7520, 7528, 7536, 7544, 7552, 7560, 7568, 7576, 7584, 7592, 7600, 7608, 7616, 7624, 7632, 7640, 7648, 7656, 7664, 7672, 7680, 7688, 7696, 7704, 7712, 7720, 7728, 7736, 7744, 7752, 7760, 7768, 7776, 7784, 7792, 7800, 7808, 7816, 7824, 7832, 7840, 7848, 7856, 7864, 7872, 7880, 7888, 7896, 7904, 7912, 7920, 7928, 7936, 7944, 7952, 7960, 7968, 7976, 7984, 7992, 8000

Hope this helped :D

The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! The greatest factor of any number is itself.

The common factors of 42 are the numbers that can evenly divide 42 without leaving a remainder. The common factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The greatest common factor (GCF) of 42 is the largest number that can divide 42 and another number without leaving a remainder. In this case, the GCF of 42 and any other number would be 42 itself.

To find the Least Common Multiple (LCM) of 5, 25, and 125, we need to first find the prime factorization of each number. The prime factorization of 5 is 5, the prime factorization of 25 is 5^2, and the prime factorization of 125 is 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 5^3, equaling 125. Therefore, the LCM of 5, 25, and 125 is 125.

Ah, let's take a moment to appreciate the beauty of numbers. The common factors of 135 and 210 are the numbers that can divide both of them evenly. In this case, the common factors of 135 and 210 are 1, 3, 5, and 15. Just like in painting, finding common factors is about discovering harmony and balance in numbers.

To find the least common multiple (LCM) of 5, 25, and 125, we first need to identify the prime factors of each number. The prime factors of 5 are 5, 25 are 5^2, and 125 are 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 5, 25, and 125 is 5^3, which equals 125.

To find the factor of 1764 that totals the sum of 84, we need to find two numbers that multiply to 1764 and add up to 84. The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, and 1764. The two numbers that meet the criteria are 42 and 42, as 42 * 42 = 1764 and 42 + 42 = 84.

Well, isn't that a happy little question! If you take the numbers 400, 500, and 30, and add them together with a gentle brush stroke, you'll find they equal 930. Just like painting a beautiful landscape, sometimes all you need is the right combination of colors and numbers to create something truly wonderful.

Oh, dude, the least common multiple of 32 and 128 is 128. Like, you take the bigger number because it's already a multiple of the smaller one. So, yeah, 128 is the least common multiple. Easy peasy lemon squeezy.

Well, honey, the Least Common Multiple (LCM) of 128 and 256 is 256. It's like picking the bigger sibling in a game of "who's got the most multiples." So, there you have it, no need to overcomplicate things.

The Least Common Multiple (LCM) of 145 and 250 is the smallest positive integer that is divisible by both 145 and 250 without leaving a remainder. To find the LCM, we first need to find the prime factorization of each number. 145 = 5 x 29 and 250 = 2 x 5^3. Then, the LCM is calculated by taking the highest power of each prime factor that appears in either number, so LCM(145, 250) = 2 x 5^3 x 29 = 36250.

59

The common factors of 100 and 132 are the numbers that can evenly divide both 100 and 132 without leaving a remainder. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132. The common factors of 100 and 132 are 1, 2, 4.

Numbers that have only two factors are called prime numbers. These numbers can only be divided by 1 and themselves without leaving a remainder. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. Prime numbers play a crucial role in number theory and cryptography due to their unique properties.

Oh, what a happy little question we have here! To find the sum of all common factors of 12 and 86, we first need to find the factors of each number. The common factors of 12 and 86 are 1 and 2. So, the sum of these common factors is 1 + 2 = 3. Just like painting, math can be a beautiful and calming experience when approached with a joyful heart.

The factors of 656 are the numbers that can be multiplied together to give the product of 656. The factors of 656 are 1, 2, 4, 8, 41, 82, 164, and 328. The prime factors of 656 are the prime numbers that can be multiplied together to give the product of 656, which are 2 and 41.

The GCF of 18, 24 and 32 is 2.

Well, isn't that just a happy little question! The greatest common factor of 8x and 28 is 4. You see, we can break down 8x into 4 * 2 * x and 28 into 4 * 7, and the highest factor they have in common is 4. Just remember, there are no mistakes, just happy little accidents in math!

To split the alphabet into 4 equal groups, you would first need to determine the total number of letters in the alphabet, which is 26. Then, divide 26 by 4 to get 6 with a remainder of 2. This means the first three groups would have 6 letters each, and the fourth group would have 8 letters. The groups would be as follows: ABCDEF, GHIJKL, MNOPQR, STUVWXYZ.

To find the Greatest Common Factor (GCF) of 22, 33, and 55, we first need to factorize each number. The factors of 22 are 2 x 11, the factors of 33 are 3 x 11, and the factors of 55 are 5 x 11. The common factor among these three numbers is 11, making it the Greatest Common Factor (GCF) of 22, 33, and 55.

90 180 270 360

To find the greatest common factor (GCF) of 42, 70, and 105, we first need to find the prime factorization of each number.

42 = 2 x 3 x 7 70 = 2 x 5 x 7 105 = 3 x 5 x 7

The GCF is the product of the common prime factors raised to the lowest power they appear in all three numbers. Therefore, the GCF of 42, 70, and 105 is 7.

To find two numbers that multiply to 3920, we need to factorize 3920. By breaking down 3920 into its prime factors, we get 2^4 * 5 * 7^2. To find the pair of numbers, we pair up the prime factors, considering each factor can only be used once, resulting in the pairs 227 and 257. Therefore, the two numbers that multiply to 3920 are 28 and 140.

Numbers that have exactly 2 factors under 10 are prime numbers. Prime numbers are integers greater than 1 that have no positive divisors other than 1 and themselves. Examples of prime numbers under 10 are 2, 3, 5, and 7. These numbers have only two factors, 1 and the number itself.