What is the smallest multiple of 26 greater than 300?
312
338
364
390
Multiples of 26 are integers that result from multiplying 26 by other whole numbers. In mathematics, these multiples play a crucial role in understanding number patterns and relationships. Each multiple of 26 is both a product of 26 and an integer divisor of larger numbers. Factors of 26 itself are 1, 2, 13, and 26, and its multiples are obtained through their multiplication with other integers. Recognizing these multiples helps in solving various mathematical problems related to division, factors, and common multiples.
Multiples of 26 are numbers obtained by multiplying 26 by any integer. These include 26, 52, 78, 104, 130, and so on. In general, a multiple of 26 is in the form 26n, where n is an integer.
Here’s the table format with the remainder last:
Number | Calculation | Reason | Remainder |
---|---|---|---|
78 | 78÷26 = 3 | 78 is a multiple of 26 because it divides evenly. | 0 |
130 | 130÷26 = 5 | 130 is a multiple of 26 because it divides evenly. | 0 |
156 | 156÷26 = 6 | 156 is a multiple of 26 because it divides evenly. | 0 |
234 | 234÷26 = 9 | 234 is a multiple of 26 because it divides evenly. | 0 |
265 | 265÷26 = 10 | 265 is not a multiple of 26 because it does not divide evenly. | 5 |
Number | Reason | Remainder |
---|---|---|
26 | 26 is a multiple of 26 because 26 × 1 = 26 | 0 |
52 | 52 is a multiple of 26 because 26 × 2 = 52 | 0 |
78 | 78 is a multiple of 26 because 26 × 3 = 78 | 0 |
104 | 104 is a multiple of 26 because 26 × 4 = 104 | 0 |
130 | 130 is a multiple of 26 because 26 × 5 = 130 | 0 |
156 | 156 is a multiple of 26 because 26 × 6 = 156 | 0 |
182 | 182 is a multiple of 26 because 26 × 7 = 182 | 0 |
208 | 208 is a multiple of 26 because 26 × 8 = 208 | 0 |
234 | 234 is a multiple of 26 because 26 × 9 = 234 | 0 |
260 | 260 is a multiple of 26 because 26 × 10 = 260 | 0 |
286 | 286 is a multiple of 26 because 26 × 11 = 286 | 0 |
312 | 312 is a multiple of 26 because 26 × 12 = 312 | 0 |
338 | 338 is a multiple of 26 because 26 × 13 = 338 | 0 |
364 | 364 is a multiple of 26 because 26 × 14 = 364 | 0 |
390 | 390 is a multiple of 26 because 26 × 15 = 390 | 0 |
416 | 416 is a multiple of 26 because 26 × 16 = 416 | 0 |
442 | 442 is a multiple of 26 because 26 × 17 = 442 | 0 |
468 | 468 is a multiple of 26 because 26 × 18 = 468 | 0 |
494 | 494 is a multiple of 26 because 26 × 19 = 494 | 0 |
520 | 520 is a multiple of 26 because 26 × 20 = 520 | 0 |
546 | 546 is a multiple of 26 because 26 × 21 = 546 | 0 |
572 | 572 is a multiple of 26 because 26 × 22 = 572 | 0 |
598 | 598 is a multiple of 26 because 26 × 23 = 598 | 0 |
624 | 624 is a multiple of 26 because 26 × 24 = 624 | 0 |
650 | 650 is a multiple of 26 because 26 × 25 = 650 | 0 |
676 | 676 is a multiple of 26 because 26 × 26 = 676 | 0 |
702 | 702 is a multiple of 26 because 26 × 27 = 702 | 0 |
728 | 728 is a multiple of 26 because 26 × 28 = 728 | 0 |
754 | 754 is a multiple of 26 because 26 × 29 = 754 | 0 |
780 | 780 is a multiple of 26 because 26 × 30 = 780 | 0 |
806 | 806 is a multiple of 26 because 26 × 31 = 806 | 0 |
832 | 832 is a multiple of 26 because 26 × 32 = 832 | 0 |
858 | 858 is a multiple of 26 because 26 × 33 = 858 | 0 |
884 | 884 is a multiple of 26 because 26 × 34 = 884 | 0 |
910 | 910 is a multiple of 26 because 26 × 35 = 910 | 0 |
936 | 936 is a multiple of 26 because 26 × 36 = 936 | 0 |
962 | 962 is a multiple of 26 because 26 × 37 = 962 | 0 |
988 | 988 is a multiple of 26 because 26 × 38 = 988 | 0 |
1014 | 1014 is a multiple of 26 because 26 × 39 = 1014 | 0 |
1040 | 1040 is a multiple of 26 because 26 × 40 = 1040 | 0 |
1066 | 1066 is a multiple of 26 because 26 × 41 = 1066 | 0 |
1092 | 1092 is a multiple of 26 because 26 × 42 = 1092 | 0 |
1118 | 1118 is a multiple of 26 because 26 × 43 = 1118 | 0 |
1144 | 1144 is a multiple of 26 because 26 × 44 = 1144 | 0 |
1170 | 1170 is a multiple of 26 because 26 × 45 = 1170 | 0 |
1196 | 1196 is a multiple of 26 because 26 × 46 = 1196 | 0 |
1222 | 1222 is a multiple of 26 because 26 × 47 = 1222 | 0 |
1248 | 1248 is a multiple of 26 because 26 × 48 = 1248 | 0 |
1274 | 1274 is a multiple of 26 because 26 × 49 = 1274 | 0 |
1300 | 1300 is a multiple of 26 because 26 × 50 = 1300 | 0 |
1326 | 1326 is a multiple of 26 because 26 × 51 = 1326 | 0 |
1352 | 1352 is a multiple of 26 because 26 × 52 = 1352 | 0 |
1378 | 1378 is a multiple of 26 because 26 × 53 = 1378 | 0 |
1404 | 1404 is a multiple of 26 because 26 × 54 = 1404 | 0 |
1430 | 1430 is a multiple of 26 because 26 × 55 = 1430 | 0 |
1456 | 1456 is a multiple of 26 because 26 × 56 = 1456 | 0 |
1482 | 1482 is a multiple of 26 because 26 × 57 = 1482 | 0 |
1508 | 1508 is a multiple of 26 because 26 × 58 = 1508 | 0 |
1534 | 1534 is a multiple of 26 because 26 × 59 = 1534 | 0 |
1560 | 1560 is a multiple of 26 because 26 × 60 = 1560 | 0 |
1586 | 1586 is a multiple of 26 because 26 × 61 = 1586 | 0 |
1612 | 1612 is a multiple of 26 because 26 × 62 = 1612 | 0 |
1638 | 1638 is a multiple of 26 because 26 × 63 = 1638 | 0 |
1664 | 1664 is a multiple of 26 because 26 × 64 = 1664 | 0 |
1690 | 1690 is a multiple of 26 because 26 × 65 = 1690 | 0 |
1716 | 1716 is a multiple of 26 because 26 × 66 = 1716 | 0 |
1742 | 1742 is a multiple of 26 because 26 × 67 = 1742 | 0 |
1768 | 1768 is a multiple of 26 because 26 × 68 = 1768 | 0 |
1794 | 1794 is a multiple of 26 because 26 × 69 = 1794 | 0 |
1820 | 1820 is a multiple of 26 because 26 × 70 = 1820 | 0 |
1846 | 1846 is a multiple of 26 because 26 × 71 = 1846 | 0 |
1872 | 1872 is a multiple of 26 because 26 × 72 = 1872 | 0 |
1898 | 1898 is a multiple of 26 because 26 × 73 = 1898 | 0 |
1924 | 1924 is a multiple of 26 because 26 × 74 = 1924 | 0 |
1950 | 1950 is a multiple of 26 because 26 × 75 = 1950 | 0 |
1976 | 1976 is a multiple of 26 because 26 × 76 = 1976 | 0 |
2002 | 2002 is a multiple of 26 because 26 × 77 = 2002 | 0 |
2028 | 2028 is a multiple of 26 because 26 × 78 = 2028 | 0 |
2054 | 2054 is a multiple of 26 because 26 × 79 = 2054 | 0 |
2080 | 2080 is a multiple of 26 because 26 × 80 = 2080 | 0 |
2106 | 2106 is a multiple of 26 because 26 × 81 = 2106 | 0 |
2132 | 2132 is a multiple of 26 because 26 × 82 = 2132 | 0 |
2158 | 2158 is a multiple of 26 because 26 × 83 = 2158 | 0 |
2184 | 2184 is a multiple of 26 because 26 × 84 = 2184 | 0 |
2210 | 2210 is a multiple of 26 because 26 × 85 = 2210 | 0 |
2236 | 2236 is a multiple of 26 because 26 × 86 = 2236 | 0 |
2262 | 2262 is a multiple of 26 because 26 × 87 = 2262 | 0 |
2288 | 2288 is a multiple of 26 because 26 × 88 = 2288 | 0 |
2314 | 2314 is a multiple of 26 because 26 × 89 = 2314 | 0 |
2340 | 2340 is a multiple of 26 because 26 × 90 = 2340 | 0 |
2366 | 2366 is a multiple of 26 because 26 × 91 = 2366 | 0 |
2392 | 2392 is a multiple of 26 because 26 × 92 = 2392 | 0 |
2418 | 2418 is a multiple of 26 because 26 × 93 = 2418 | 0 |
2444 | 2444 is a multiple of 26 because 26 × 94 = 2444 | 0 |
2470 | 2470 is a multiple of 26 because 26 × 95 = 2470 | 0 |
2496 | 2496 is a multiple of 26 because 26 × 96 = 2496 | 0 |
2522 | 2522 is a multiple of 26 because 26 × 97 = 2522 | 0 |
2548 | 2548 is a multiple of 26 because 26 × 98 = 2548 | 0 |
2574 | 2574 is a multiple of 26 because 26 × 99 = 2574 | 0 |
2600 | 2600 is a multiple of 26 because 26 × 100 = 2600 | 0 |
Problem: Identify the 15th multiple of 26.
To find the 15th multiple of 26, multiply 26 by 15. 26×15 = 390
The 15th multiple of 26 is 390.
Problem: Find the smallest common multiple of 26 and 13.
Since 13 is a factor of 26, the smallest common multiple is the larger number, which is 26.
The smallest common multiple of 26 and 13 is 26.
Problem: Determine if 104 is a multiple of 26.
To check if 104 is a multiple of 26, divide 104 by 26. 104÷26 = 4 Since the result is a whole number with no remainder, 104 is a multiple of 26.
Yes, 104 is a multiple of 26.
Problem: A factory packs 26 bottles in each box. How many bottles are there in 50 boxes?
To find the total number of bottles, multiply the number of boxes by the number of bottles per box. 26×50 = 1300.
There are 1300 bottles in 50 boxes.
Problem: List the first 5 multiples of 26.
Calculate the first 5 multiples by multiplying 26 by 1, 2, 3, 4, and 5:
The first 5 multiples of 26 are 26, 52, 78, 104, and 130.
Problem: Identify all multiples of 26 between 100 and 300.
Start with the smallest multiple of 26 greater than or equal to 100, which is 104. Continue adding 26 until reaching the largest multiple less than or equal to 300:
The multiples of 26 between 100 and 300 are 104, 130, 156, 182, 208, 234, 260, and 286.
A multiple of 26 is a number that can be expressed as 26 times an integer. Examples include 26, 52, 78, and 104.
To find multiples of 26, multiply 26 by any integer (positive, negative, or zero). For example, 26 × 3 = 78 and 26 × (-2) = -52.
Yes, 104 is a multiple of 26 because 104 ÷ 26 equals 4, which is an integer.
Yes, all multiples of 26 are even numbers because 26 itself is an even number, and the product of an even number with any integer is always even.
The smallest positive multiple of 26 is 26 itself (26 × 1).
Yes, since 26 is the product of 2 and 13 (26 = 2 × 13), any multiple of 26 is also a multiple of both 2 and 13.
No, multiples of 26 are always integers. Multiplying 26 by any integer will always result in an integer.
The 10th multiple of 26 is 260 (26 × 10).
Yes, 0 is a multiple of every integer, including 26, because 26 × 0 = 0.
There are 8 multiples of 26 between 100 and 300: 104, 130, 156, 182, 208, 234, 260, and 286.
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What is the smallest multiple of 26 greater than 300?
312
338
364
390
Which of the following numbers is a multiple of 26?
450
504
676
702
What is the next multiple of 26 after 234?
260
286
312
338
Which of the following numbers is not a multiple of 26?
130
156
182
208
What is the sum of the first three multiples of 26?
52
104
156
78
Which of the following is a common multiple of 26 and 39?
104
156
234
260
What is the product of 26 and 8?
182
208
234
260
Which multiple of 26 is closest to 400?
364
390
416
442
What is the greatest multiple of 26 less than 500?
468
494
520
546
Which of the following numbers is a multiple of both 26 and 52?
156
182
208
234
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