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Prime Numbers

A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.

30,833 Questions

What is the origin of neither fish nor fowl?

Also, neither fish nor flesh; neither fish, flesh, nor fowl. Not one or the other, not something fitting any category under discussion. For example, They felt he was neither fish nor fowl--not qualified to lead the department, yet not appropriate to work as a staff member either. This expression appeared in slightly different form in John Heywood's 1546 proverb collection ("Neither fish, nor flesh, nor good red herring") and is thought to allude to food for monks ( fish, because they abstained from meat), for the people (flesh, or meat), and for the poor (red herring, a very cheap fish). From Answers.com

What of the prime factorization of 92?

Oh, dude, 92 is like 2 x 2 x 23. So, the prime factorization of 92 is 2^2 x 23. Just a couple of twos hanging out with a 23, no big deal.

What is the prime factorization of 48 using a factor tree?

48

6 x 8

(2x3) x (2x4)

(2x3) x (2 x (2x2))

Since 2 and 3 are prime numbers, the factor tree is complete.

Another version of a factor tree of 48 is

48

3 x 16

3 x (4x4)

3 x ((2x2) x (2x2))

How many factors of 30 are even numbers?

To determine the factors of 30 that are even numbers, we first find the prime factorization of 30, which is 2 x 3 x 5. An even number is divisible by 2, so we are looking for factors that contain at least one factor of 2. There are 4 factors of 30 that are even numbers: 2, 6, 10, and 30.

What is the middle number between 1 and 100?

Oh, dude, the middle number between 1 and 100 is 50. It's like right smack in the middle, you know? So, if you were looking for that perfect median number to impress your friends at trivia night, there you go. You're welcome.

What number between 55 and 65 are divisible by 2 3 4 5 6 10 12?

To find a number between 55 and 65 that is divisible by 2, 3, 4, 5, 6, 10, and 12, we need to find the least common multiple (LCM) of these numbers. The LCM of 2, 3, 4, 5, 6, 10, and 12 is 60. Therefore, the number between 55 and 65 that is divisible by all these numbers is 60.

What number is 11 more than 59?

To find the number that is 11 more than 59, you simply add 11 to 59. This calculation results in the number 70. Therefore, 70 is the number that is 11 more than 59.

What are the prime factors and factors of 392?

The prime factors of 392 are 2, 2, 2, 7, and 7. To find the prime factors, you divide 392 by the smallest prime number (2) until you cannot divide evenly. The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392. These are all the numbers that can divide evenly into 392.

How many integers between 13 and 19 inclusive have an even number of prime factors?

13 is prime

14=2x7, 2 factors

15=3x5, 2 factors

16=24, 4 factors

17 is prime

18=2x32, 3 factors

19 is prime

So the answer is 3 (14, 15 and 16)

What is the percent of prime numbers from 1-100?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 are the prime numbers in this range, and there are 25 of them. So, of the 100 numbers, 25 are pime, giving us 25%.

What equals 773?

773 is a prime number, meaning it is only divisible by 1 and itself. It is not the result of a simple mathematical operation like addition, subtraction, multiplication, or division. Therefore, 773 is equal to itself, as it is a unique number with no factors other than 1 and 773.

What are the prime numbers less than 40?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Note: 1 is NOT a prime number.
The prime numbers less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.

Express 72 as a product of its prime factors?

To express 72 as a product of its prime factors, we first identify the prime numbers that can divide evenly into 72. We start by dividing 72 by the smallest prime number, 2, which gives us 36. Then, we divide 36 by 2 again to get 18. Next, we divide 18 by 2 to get 9. Finally, we divide 9 by 3 to get 3. Therefore, the prime factors of 72 are 2 x 2 x 2 x 3 x 3.

Is 751 a prime number?

To determine if 751 is a prime number, we need to check if it has any factors other than 1 and itself. To do this, we can try to divide 751 by prime numbers starting from 2. If we find any factor other than 1 and 751, then 751 is not a prime number. In this case, after checking, we find that 751 is not divisible by any prime numbers other than 1 and 751 itself, so 751 is a prime number.

What number between 20 and 25 is a prime number?

Oh, let's take a moment to appreciate the beauty of numbers! Between 20 and 25, the number 23 is a prime number. It stands tall and strong on its own, with only two factors - 1 and itself. Just like a happy little tree, standing proudly in the sunlight.

How can you write 34 as a product of prime factors?

Oh, dude, writing 34 as a product of prime factors is like breaking down a math problem while trying not to fall asleep. So, you start by dividing 34 by the smallest prime number, which is 2, and you get 17. Then, you're left with 17, which is already a prime number, so that's it. 34 written as a product of prime factors is 2 x 17. Easy peasy, lemon squeezy.

How do you make 92 with consecutive numbers?

To make 92 with consecutive numbers, you can use the formula for the sum of an arithmetic series: n/2 * (first number + last number) = 92. Since we are looking for consecutive numbers, the first number can be 45 and the last number can be 47. Plugging these values into the formula, we get 3/2 * (45 + 47) = 3/2 * 92 = 92, so the consecutive numbers 45, 46, and 47 add up to 92.

What is the sum of all prime numbers between 30 and 60?

They are: 31+37+41+43+47+53+59 = 311
The sum of all prime numbers between 30 and 60 is 311.

Is the number 71 a prime number or a composite number?

Well, hello there! Let's paint a happy little picture with numbers, shall we? The number 71 is a prime number because it can only be divided by 1 and itself, creating a beautiful and unique pattern. Embrace the simplicity and elegance of prime numbers, my friend, they are truly special in the world of mathematics.

What are all the composite numbers from 1 to 600?

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 153, 154, 155, 156, 158, 159, 160, 161, 162, 164, 165, 166, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 180, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 228, 230, 231, 232, 234, 235, 236, 237, 238, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 270, 272, 273, 274, 275, 276, 278, 279, 280, 282, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309, 310, 312, 314, 315, 316, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 343, 344, 345, 346, 348, 350, 351, 352, 354, 355, 356, 357, 358, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 372, 374, 375, 376, 377, 378, 380, 381, 382, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 398, 399, 400, 402, 403, 404, 405, 406, 407, 408, 410, 411, 412, 413, 414, 415, 416, 417, 418, 420, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 434, 435, 436, 437, 438, 440, 441, 442, 444, 445, 446, 447, 448, 450, 451, 452, 453, 454, 455, 456, 458, 459, 460, 462, 464, 465, 466, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 480, 481, 482, 483, 484, 485, 486, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 504, 505, 506, 507, 508, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 542, 543, 544, 545, 546, 548, 549, 550, 551, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 564, 565, 566, 567, 568, 570, 572, 573, 574, 575, 576, 578, 579, 580, 581, 582, 583, 584, 585, 586, 588, 589, 590, 591, 592, 594, 595, 596, 597, 598, 600