Factoring and Multiples

The GCF of 39, 143, and 169 is 13.

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 39 are 1, 3, 13, and 39.

The factors of 143 are 1, 11, 13, and 143.

The factors of 169 are 1, 13, and 169.

The common factors are 1 and 13. Therefore, the greatest common factor is 13.

To find the least common multiple (LCM) of 5, 7, 8, and 9, we first need to prime factorize each number: 5 is prime, 7 is prime, 8 = 2^3, and 9 = 3^2. The LCM is the product of the highest power of each prime factor that appears in the factorization of the numbers. Therefore, the LCM of 5, 7, 8, and 9 is 2^3 * 3^2 * 5 * 7 = 2520.

624

360 is a highly composite number, meaning it has many factors. The prime factorization of 360 is 2^3 * 3^2 * 5. This means that 360 can be divided evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

4/5

To factorize the expression abxb + acxc, we first identify the common factors in each term. In this case, the common factors are b in the first term and c in the second term. We then factor out these common factors to get b(a + x) + c(a + x). Finally, we factor out the common binomial factor of (a + x) to get (a + x)(b + c) as the fully factorized expression.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 16 and 19 is 1

12, 24, 36, 48.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 210 and 360 is 30

Assuming those with a result up to 5000 and not the first 5000 multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 300, 304, 308, 312, 316, 320, 324, 328, 332, 336, 340, 344, 348, 352, 356, 360, 364, 368, 372, 376, 380, 384, 388, 392, 396, 400, 404, 408, 412, 416, 420, 424, 428, 432, 436, 440, 444, 448, 452, 456, 460, 464, 468, 472, 476, 480, 484, 488, 492, 496, 500, 504, 508, 512, 516, 520, 524, 528, 532, 536, 540, 544, 548, 552, 556, 560, 564, 568, 572, 576, 580, 584, 588, 592, 596, 600, 604, 608, 612, 616, 620, 624, 628, 632, 636, 640, 644, 648, 652, 656, 660, 664, 668, 672, 676, 680, 684, 688, 692, 696, 700, 704, 708, 712, 716, 720, 724, 728, 732, 736, 740, 744, 748, 752, 756, 760, 764, 768, 772, 776, 780, 784, 788, 792, 796, 800, 804, 808, 812, 816, 820, 824, 828, 832, 836, 840, 844, 848, 852, 856, 860, 864, 868, 872, 876, 880, 884, 888, 892, 896, 900, 904, 908, 912, 916, 920, 924, 928, 932, 936, 940, 944, 948, 952, 956, 960, 964, 968, 972, 976, 980, 984, 988, 992, 996, 1000, 1004, 1008, 1012, 1016, 1020, 1024, 1028, 1032, 1036, 1040, 1044, 1048, 1052, 1056, 1060, 1064, 1068, 1072, 1076, 1080, 1084, 1088, 1092, 1096, 1100, 1104, 1108, 1112, 1116, 1120, 1124, 1128, 1132, 1136, 1140, 1144, 1148, 1152, 1156, 1160, 1164, 1168, 1172, 1176, 1180, 1184, 1188, 1192, 1196, 1200, 1204, 1208, 1212, 1216, 1220, 1224, 1228, 1232, 1236, 1240, 1244, 1248, 1252, 1256, 1260, 1264, 1268, 1272, 1276, 1280, 1284, 1288, 1292, 1296, 1300, 1304, 1308, 1312, 1316, 1320, 1324, 1328, 1332, 1336, 1340, 1344, 1348, 1352, 1356, 1360, 1364, 1368, 1372, 1376, 1380, 1384, 1388, 1392, 1396, 1400, 1404, 1408, 1412, 1416, 1420, 1424, 1428, 1432, 1436, 1440, 1444, 1448, 1452, 1456, 1460, 1464, 1468, 1472, 1476, 1480, 1484, 1488, 1492, 1496, 1500, 1504, 1508, 1512, 1516, 1520, 1524, 1528, 1532, 1536, 1540, 1544, 1548, 1552, 1556, 1560, 1564, 1568, 1572, 1576, 1580, 1584, 1588, 1592, 1596, 1600, 1604, 1608, 1612, 1616, 1620, 1624, 1628, 1632, 1636, 1640, 1644, 1648, 1652, 1656, 1660, 1664, 1668, 1672, 1676, 1680, 1684, 1688, 1692, 1696, 1700, 1704, 1708, 1712, 1716, 1720, 1724, 1728, 1732, 1736, 1740, 1744, 1748, 1752, 1756, 1760, 1764, 1768, 1772, 1776, 1780, 1784, 1788, 1792, 1796, 1800, 1804, 1808, 1812, 1816, 1820, 1824, 1828, 1832, 1836, 1840, 1844, 1848, 1852, 1856, 1860, 1864, 1868, 1872, 1876, 1880, 1884, 1888, 1892, 1896, 1900, 1904, 1908, 1912, 1916, 1920, 1924, 1928, 1932, 1936, 1940, 1944, 1948, 1952, 1956, 1960, 1964, 1968, 1972, 1976, 1980, 1984, 1988, 1992, 1996, 2000, 2004, 2008, 2012, 2016, 2020, 2024, 2028, 2032, 2036, 2040, 2044, 2048, 2052, 2056, 2060, 2064, 2068, 2072, 2076, 2080, 2084, 2088, 2092, 2096, 2100, 2104, 2108, 2112, 2116, 2120, 2124, 2128, 2132, 2136, 2140, 2144, 2148, 2152, 2156, 2160, 2164, 2168, 2172, 2176, 2180, 2184, 2188, 2192, 2196, 2200, 2204, 2208, 2212, 2216, 2220, 2224, 2228, 2232, 2236, 2240, 2244, 2248, 2252, 2256, 2260, 2264, 2268, 2272, 2276, 2280, 2284, 2288, 2292, 2296, 2300, 2304, 2308, 2312, 2316, 2320, 2324, 2328, 2332, 2336, 2340, 2344, 2348, 2352, 2356, 2360, 2364, 2368, 2372, 2376, 2380, 2384, 2388, 2392, 2396, 2400, 2404, 2408, 2412, 2416, 2420, 2424, 2428, 2432, 2436, 2440, 2444, 2448, 2452, 2456, 2460, 2464, 2468, 2472, 2476, 2480, 2484, 2488, 2492, 2496, 2500, 2504, 2508, 2512, 2516, 2520, 2524, 2528, 2532, 2536, 2540, 2544, 2548, 2552, 2556, 2560, 2564, 2568, 2572, 2576, 2580, 2584, 2588, 2592, 2596, 2600, 2604, 2608, 2612, 2616, 2620, 2624, 2628, 2632, 2636, 2640, 2644, 2648, 2652, 2656, 2660, 2664, 2668, 2672, 2676, 2680, 2684, 2688, 2692, 2696, 2700, 2704, 2708, 2712, 2716, 2720, 2724, 2728, 2732, 2736, 2740, 2744, 2748, 2752, 2756, 2760, 2764, 2768, 2772, 2776, 2780, 2784, 2788, 2792, 2796, 2800, 2804, 2808, 2812, 2816, 2820, 2824, 2828, 2832, 2836, 2840, 2844, 2848, 2852, 2856, 2860, 2864, 2868, 2872, 2876, 2880, 2884, 2888, 2892, 2896, 2900, 2904, 2908, 2912, 2916, 2920, 2924, 2928, 2932, 2936, 2940, 2944, 2948, 2952, 2956, 2960, 2964, 2968, 2972, 2976, 2980, 2984, 2988, 2992, 2996, 3000, 3004, 3008, 3012, 3016, 3020, 3024, 3028, 3032, 3036, 3040, 3044, 3048, 3052, 3056, 3060, 3064, 3068, 3072, 3076, 3080, 3084, 3088, 3092, 3096, 3100, 3104, 3108, 3112, 3116, 3120, 3124, 3128, 3132, 3136, 3140, 3144, 3148, 3152, 3156, 3160, 3164, 3168, 3172, 3176, 3180, 3184, 3188, 3192, 3196, 3200, 3204, 3208, 3212, 3216, 3220, 3224, 3228, 3232, 3236, 3240, 3244, 3248, 3252, 3256, 3260, 3264, 3268, 3272, 3276, 3280, 3284, 3288, 3292, 3296, 3300, 3304, 3308, 3312, 3316, 3320, 3324, 3328, 3332, 3336, 3340, 3344, 3348, 3352, 3356, 3360, 3364, 3368, 3372, 3376, 3380, 3384, 3388, 3392, 3396, 3400, 3404, 3408, 3412, 3416, 3420, 3424, 3428, 3432, 3436, 3440, 3444, 3448, 3452, 3456, 3460, 3464, 3468, 3472, 3476, 3480, 3484, 3488, 3492, 3496, 3500, 3504, 3508, 3512, 3516, 3520, 3524, 3528, 3532, 3536, 3540, 3544, 3548, 3552, 3556, 3560, 3564, 3568, 3572, 3576, 3580, 3584, 3588, 3592, 3596, 3600, 3604, 3608, 3612, 3616, 3620, 3624, 3628, 3632, 3636, 3640, 3644, 3648, 3652, 3656, 3660, 3664, 3668, 3672, 3676, 3680, 3684, 3688, 3692, 3696, 3700, 3704, 3708, 3712, 3716, 3720, 3724, 3728, 3732, 3736, 3740, 3744, 3748, 3752, 3756, 3760, 3764, 3768, 3772, 3776, 3780, 3784, 3788, 3792, 3796, 3800, 3804, 3808, 3812, 3816, 3820, 3824, 3828, 3832, 3836, 3840, 3844, 3848, 3852, 3856, 3860, 3864, 3868, 3872, 3876, 3880, 3884, 3888, 3892, 3896, 3900, 3904, 3908, 3912, 3916, 3920, 3924, 3928, 3932, 3936, 3940, 3944, 3948, 3952, 3956, 3960, 3964, 3968, 3972, 3976, 3980, 3984, 3988, 3992, 3996, 4000, 4004, 4008, 4012, 4016, 4020, 4024, 4028, 4032, 4036, 4040, 4044, 4048, 4052, 4056, 4060, 4064, 4068, 4072, 4076, 4080, 4084, 4088, 4092, 4096, 4100, 4104, 4108, 4112, 4116, 4120, 4124, 4128, 4132, 4136, 4140, 4144, 4148, 4152, 4156, 4160, 4164, 4168, 4172, 4176, 4180, 4184, 4188, 4192, 4196, 4200, 4204, 4208, 4212, 4216, 4220, 4224, 4228, 4232, 4236, 4240, 4244, 4248, 4252, 4256, 4260, 4264, 4268, 4272, 4276, 4280, 4284, 4288, 4292, 4296, 4300, 4304, 4308, 4312, 4316, 4320, 4324, 4328, 4332, 4336, 4340, 4344, 4348, 4352, 4356, 4360, 4364, 4368, 4372, 4376, 4380, 4384, 4388, 4392, 4396, 4400, 4404, 4408, 4412, 4416, 4420, 4424, 4428, 4432, 4436, 4440, 4444, 4448, 4452, 4456, 4460, 4464, 4468, 4472, 4476, 4480, 4484, 4488, 4492, 4496, 4500, 4504, 4508, 4512, 4516, 4520, 4524, 4528, 4532, 4536, 4540, 4544, 4548, 4552, 4556, 4560, 4564, 4568, 4572, 4576, 4580, 4584, 4588, 4592, 4596, 4600, 4604, 4608, 4612, 4616, 4620, 4624, 4628, 4632, 4636, 4640, 4644, 4648, 4652, 4656, 4660, 4664, 4668, 4672, 4676, 4680, 4684, 4688, 4692, 4696, 4700, 4704, 4708, 4712, 4716, 4720, 4724, 4728, 4732, 4736, 4740, 4744, 4748, 4752, 4756, 4760, 4764, 4768, 4772, 4776, 4780, 4784, 4788, 4792, 4796, 4800, 4804, 4808, 4812, 4816, 4820, 4824, 4828, 4832, 4836, 4840, 4844, 4848, 4852, 4856, 4860, 4864, 4868, 4872, 4876, 4880, 4884, 4888, 4892, 4896, 4900, 4904, 4908, 4912, 4916, 4920, 4924, 4928, 4932, 4936, 4940, 4944, 4948, 4952, 4956, 4960, 4964, 4968, 4972, 4976, 4980, 4984, 4988, 4992, 4996, 5000

The prime factors of 803 are 11 and 73.

11 x 73 = 803

120 = 2 x 2 x 2 x 3 x 5 = 23 x 3 x 5

To find the Least Common Multiple (LCM) of 25, 125, and 625, we first need to prime factorize each number. The prime factorization of 25 is 5^2, 125 is 5^3, and 625 is 5^4. To find the LCM, we take the highest power of each prime factor that appears in the factorization of any of the numbers. In this case, the LCM is 5^4, which equals 625.

Any numbers between 1 and 100 can be common factors, but in order for them to be common factors, you have to have two numbers. For example, 40 and 78:The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.The factors of 78 are 1, 2, 39, 78.The common factors are 1 and 2.

The GCF ( greatest common factor) is 2 I know for a fact this is the correct answer

Greatest common factor means the factor that goes (for example) 18 and 20, but the biggest.

Well, honey, the first five multiples of 0 are 0, 0, 0, 0, and 0. Can't get any simpler than that!

Oh, honey, buckle up! The common multiples of 15 and 16 are numbers that both 15 and 16 can divide evenly into. So, you just need to find the multiples of the larger number, which is 16. The common multiples of 15 and 16 are 0 (because they both divide into 0), 240 (15 x 16), and so on. Hope that clears things up, darling!

63 = 3 x 3 x 7, so there are more than one combination: 7 & 9 and 21 & 9. That should be it, unless you want to consider the somewhat trivial combinations : 63 & 21, 63 & 9, 63 & 3, 63 & 7.

The factors of28 are 1, 2, 4, 7, 14 and 28.The factors of 49 are 1 18 49. So the G.C.F (greatest common factor) is 1.

Well, isn't that a happy little math problem! Let's think about it together. The numbers that multiply to make 137 are 1 and 137 because 1 times 137 equals 137. Just like painting a beautiful landscape, sometimes the simplest solutions are the most beautiful.

In mathematics, the term "power" refers to the number of times a base number is multiplied by itself. For example, in the expression 2^3, the base is 2 and the power is 3, indicating that 2 is multiplied by itself 3 times. Powers are also known as exponents and are used to represent repeated multiplication in a concise manner.

Numbers that can be divided evenly by both 3 and 7 must be multiples of the least common multiple of 3 and 7, which is 21. Therefore, any number that is a multiple of 21 can be divided by both 3 and 7. Examples of such numbers include 21, 42, 63, 84, and so on.

The smallest share was 45 oranges, so somebody else got 5 for every 3 of those, and another got 8 for every 3 of those.

45 / 3 = 15

15 * 5 = 75 is how many the second boy got.

15 * 8 = 120 is how many the third one got.

45 + 75 + 120 = 240 total oranges.

The Highest Common Factor (HCF) of 130 and 60 is 10. To find the HCF, you need to determine the largest number that divides both 130 and 60 without leaving a remainder. In this case, the factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130, while the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The largest number that appears in both lists is 10, making it the HCF.