JEE Main Important Physics formulas
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The multiplication table is the medium to ease multiple calculations, which would have required lengthy addition if multiplication hadn’t existed. Tables of a certain number are the multiplication of that number up to n number of occurrences.
In simple words, the table depicts the occurrence of a number at a certain time. Now, when we recite a table, we read it like, let’s take, for example, table of 3, so we will recite it like three ones are three, three twos are six and so on. And when we write it, we go on like 3×1=3, 3×2= 6 and so on.
Here, we will be learning tables of prime numbers. But what are prime numbers?
Prime numbers are numbers which occur naturally in the number system but behave in different manners. How are they different? They are the numbers which can only be divisible by 1 or the number itself.
In other words, Prime numbers are numbers which exist naturally and can be divided by 1 or the number itself.
The number of prime numbers between 1 to 100 is easy to count, that is, 25 prime numbers. What are those prime numbers? These are
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.
But how to learn these many numbers? Recite them from time to time, and also, they are easy to learn. The number we cannot divide from any other number is the prime number.
The simpler tables of 2, 3, 5, 7, 11, 17 and 19 are easy to learn. We will focus on tables which are hard to learn and keep them all together.
There are 14 prime numbers between 1 and 50. That is 2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37, 41,43 and 47. Below is the multiplication table of a few prime numbers between 1 and 50.
23 | 29 | 31 | 37 | 41 | 43 | |
1 | 23 | 29 | 31 | 37 | 41 | 43 |
2 | 46 | 58 | 62 | 74 | 82 | 86 |
3 | 69 | 87 | 93 | 111 | 123 | 129 |
4 | 92 | 116 | 124 | 148 | 164 | 172 |
5 | 115 | 145 | 155 | 185 | 205 | 215 |
6 | 138 | 174 | 186 | 222 | 246 | 258 |
7 | 151 | 203 | 217 | 259 | 287 | 301 |
8 | 174 | 232 | 248 | 296 | 328 | 344 |
9 | 207 | 261 | 279 | 333 | 369 | 387 |
10 | 230 | 290 | 310 | 370 | 410 | 430 |
There are 10 prime numbers between 51 to 100. That is 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. Below is the multiplication table of a few prime numbers between 51 and 100.
53 | 59 | 61 | 67 | 71 | 79 | 83 | 89 | 97 | |
1 | 53 | 59 | 61 | 67 | 71 | 79 | 83 | 89 | 97 |
2 | 106 | 118 | 122 | 134 | 142 | 158 | 166 | 178 | 194 |
3 | 159 | 177 | 183 | 201 | 213 | 237 | 249 | 267 | 291 |
4 | 212 | 236 | 244 | 268 | 284 | 316 | 332 | 356 | 388 |
5 | 265 | 295 | 305 | 335 | 355 | 395 | 415 | 445 | 485 |
6 | 318 | 354 | 366 | 402 | 426 | 474 | 498 | 534 | 582 |
7 | 371 | 413 | 427 | 469 | 497 | 553 | 581 | 623 | 679 |
8 | 424 | 472 | 488 | 536 | 568 | 632 | 664 | 712 | 776 |
9 | 477 | 531 | 549 | 603 | 639 | 711 | 747 | 801 | 873 |
10 | 530 | 590 | 610 | 670 | 710 | 790 | 830 | 890 | 970 |
Illustration 1:
Annie had 2 boxes of paper cups. Each box contains 97 paper cups. How many paper cups are there in total?
Solution: 1 box contains 97 paper cups
Thus, 2 boxes will have 194 paper cups.
2\times 97 = 194
Illustration 2:
A man drives for 4 hours at a speed of 67 km/hour. How much distance did he cover?
Solution: We know that distance equals the product of speed and time.
Thus, total distance covered = 268 km
4\times 67 = 268\: km
Illustration 3:
A boy has 92 candies of red, blue, green, and orange with him. The number of candies in these colours is equal. He wants to separate these candies into 4 different boxes. How many candies will each box have?
Solution: Total number of candies= 92
Number of boxes = 4
Number of candies in each box = 23 candies
92\div 4 = 23\: candies
Illustration 4:
There are 97 balls in a bag. Varun lost 23 balls from the bag. How many balls are left?
Solution: To find the numbers of balls left in the bag, we need to subtract the number of balls lost from the total number of balls.
97 - 23= 74\: balls
Thus, 74 balls are left in the bag.
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