Multiples of 27

Multiples of 27 are integers obtained by multiplying 27 by any whole number. In mathematics, multiples are numbers that result from multiplying a given number by the set of integers. The number 27 itself is both a factor and a divisor of its multiples. Understanding multiples helps in grasping key concepts like factors, divisors, and multiplication. This knowledge is essential for various mathematical operations and problem-solving.

What are Multiples of 27?

Multiples of 27 are numbers that can be expressed as 27 times an integer. These numbers follow the sequence 27, 54, 81, 108, and so on. Each multiple results from multiplying 27 by whole numbers: 1, 2, 3, 4, etc.

Prime factorization of 27: 27 = 3 × 3 × 3 = 3³ First 10 multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243 270.

For example, 81, 135, 189 and 243 are all multiples of 27, 352 is not a multiple of 27 for the following reasons:

Number	Calculation	Reason	Remainder
81	81÷27 = 3	81 is a multiple of 27 because it divides evenly.	0
135	135÷27 = 5	135 is a multiple of 27 because it divides evenly.	0
189	189÷27 = 7	189 is a multiple of 27 because it divides evenly.	0
243	243÷27 = 9	243 is a multiple of 27 because it divides evenly.	0
352	352÷27 = 13	352 is not a multiple of 27 because it does not divide evenly.	1

List of First 100 Multiples of 27 with Remainders

Number	Reason	Remainder
27	27 is a multiple of 27 because 27 × 1 = 27	0
54	54 is a multiple of 27 because 27 × 2 = 54	0
81	81 is a multiple of 27 because 27 × 3 = 81	0
108	108 is a multiple of 27 because 27 × 4 = 108	0
135	135 is a multiple of 27 because 27 × 5 = 135	0
162	162 is a multiple of 27 because 27 × 6 = 162	0
189	189 is a multiple of 27 because 27 × 7 = 189	0
216	216 is a multiple of 27 because 27 × 8 = 216	0
243	243 is a multiple of 27 because 27 × 9 = 243	0
270	270 is a multiple of 27 because 27 × 10 = 270	0
297	297 is a multiple of 27 because 27 × 11 = 297	0
324	324 is a multiple of 27 because 27 × 12 = 324	0
351	351 is a multiple of 27 because 27 × 13 = 351	0
378	378 is a multiple of 27 because 27 × 14 = 378	0
405	405 is a multiple of 27 because 27 × 15 = 405	0
432	432 is a multiple of 27 because 27 × 16 = 432	0
459	459 is a multiple of 27 because 27 × 17 = 459	0
486	486 is a multiple of 27 because 27 × 18 = 486	0
513	513 is a multiple of 27 because 27 × 19 = 513	0
540	540 is a multiple of 27 because 27 × 20 = 540	0
567	567 is a multiple of 27 because 27 × 21 = 567	0
594	594 is a multiple of 27 because 27 × 22 = 594	0
621	621 is a multiple of 27 because 27 × 23 = 621	0
648	648 is a multiple of 27 because 27 × 24 = 648	0
675	675 is a multiple of 27 because 27 × 25 = 675	0
702	702 is a multiple of 27 because 27 × 26 = 702	0
729	729 is a multiple of 27 because 27 × 27 = 729	0
756	756 is a multiple of 27 because 27 × 28 = 756	0
783	783 is a multiple of 27 because 27 × 29 = 783	0
810	810 is a multiple of 27 because 27 × 30 = 810	0
837	837 is a multiple of 27 because 27 × 31 = 837	0
864	864 is a multiple of 27 because 27 × 32 = 864	0
891	891 is a multiple of 27 because 27 × 33 = 891	0
918	918 is a multiple of 27 because 27 × 34 = 918	0
945	945 is a multiple of 27 because 27 × 35 = 945	0
972	972 is a multiple of 27 because 27 × 36 = 972	0
999	999 is a multiple of 27 because 27 × 37 = 999	0
1026	1026 is a multiple of 27 because 27 × 38 = 1026	0
1053	1053 is a multiple of 27 because 27 × 39 = 1053	0
1080	1080 is a multiple of 27 because 27 × 40 = 1080	0
1107	1107 is a multiple of 27 because 27 × 41 = 1107	0
1134	1134 is a multiple of 27 because 27 × 42 = 1134	0
1161	1161 is a multiple of 27 because 27 × 43 = 1161	0
1188	1188 is a multiple of 27 because 27 × 44 = 1188	0
1215	1215 is a multiple of 27 because 27 × 45 = 1215	0
1242	1242 is a multiple of 27 because 27 × 46 = 1242	0
1269	1269 is a multiple of 27 because 27 × 47 = 1269	0
1296	1296 is a multiple of 27 because 27 × 48 = 1296	0
1323	1323 is a multiple of 27 because 27 × 49 = 1323	0
1350	1350 is a multiple of 27 because 27 × 50 = 1350	0
1377	1377 is a multiple of 27 because 27 × 51 = 1377	0
1404	1404 is a multiple of 27 because 27 × 52 = 1404	0
1431	1431 is a multiple of 27 because 27 × 53 = 1431	0
1458	1458 is a multiple of 27 because 27 × 54 = 1458	0
1485	1485 is a multiple of 27 because 27 × 55 = 1485	0
1512	1512 is a multiple of 27 because 27 × 56 = 1512	0
1539	1539 is a multiple of 27 because 27 × 57 = 1539	0
1566	1566 is a multiple of 27 because 27 × 58 = 1566	0
1593	1593 is a multiple of 27 because 27 × 59 = 1593	0
1620	1620 is a multiple of 27 because 27 × 60 = 1620	0
1647	1647 is a multiple of 27 because 27 × 61 = 1647	0
1674	1674 is a multiple of 27 because 27 × 62 = 1674	0
1701	1701 is a multiple of 27 because 27 × 63 = 1701	0
1728	1728 is a multiple of 27 because 27 × 64 = 1728	0
1755	1755 is a multiple of 27 because 27 × 65 = 1755	0
1782	1782 is a multiple of 27 because 27 × 66 = 1782	0
1809	1809 is a multiple of 27 because 27 × 67 = 1809	0
1836	1836 is a multiple of 27 because 27 × 68 = 1836	0
1863	1863 is a multiple of 27 because 27 × 69 = 1863	0
1890	1890 is a multiple of 27 because 27 × 70 = 1890	0
1917	1917 is a multiple of 27 because 27 × 71 = 1917	0
1944	1944 is a multiple of 27 because 27 × 72 = 1944	0
1971	1971 is a multiple of 27 because 27 × 73 = 1971	0
1998	1998 is a multiple of 27 because 27 × 74 = 1998	0
2025	2025 is a multiple of 27 because 27 × 75 = 2025	0
2052	2052 is a multiple of 27 because 27 × 76 = 2052	0
2079	2079 is a multiple of 27 because 27 × 77 = 2079	0
2106	2106 is a multiple of 27 because 27 × 78 = 2106	0
2133	2133 is a multiple of 27 because 27 × 79 = 2133	0
2160	2160 is a multiple of 27 because 27 × 80 = 2160	0
2187	2187 is a multiple of 27 because 27 × 81 = 2187	0
2214	2214 is a multiple of 27 because 27 × 82 = 2214	0
2241	2241 is a multiple of 27 because 27 × 83 = 2241	0
2268	2268 is a multiple of 27 because 27 × 84 = 2268	0
2295	2295 is a multiple of 27 because 27 × 85 = 2295	0
2322	2322 is a multiple of 27 because 27 × 86 = 2322	0
2349	2349 is a multiple of 27 because 27 × 87 = 2349	0
2376	2376 is a multiple of 27 because 27 × 88 = 2376	0
2403	2403 is a multiple of 27 because 27 × 89 = 2403	0
2430	2430 is a multiple of 27 because 27 × 90 = 2430	0
2457	2457 is a multiple of 27 because 27 × 91 = 2457	0
2484	2484 is a multiple of 27 because 27 × 92 = 2484	0
2511	2511 is a multiple of 27 because 27 × 93 = 2511	0
2538	2538 is a multiple of 27 because 27 × 94 = 2538	0
2565	2565 is a multiple of 27 because 27 × 95 = 2565	0
2592	2592 is a multiple of 27 because 27 × 96 = 2592	0
2619	2619 is a multiple of 27 because 27 × 97 = 2619	0
2646	2646 is a multiple of 27 because 27 × 98 = 2646	0
2673	2673 is a multiple of 27 because 27 × 99 = 2673	0
2700	2700 is a multiple of 27 because 27 × 100 = 2700	0

Read More About Multiples of 27

Table of 27

Important Notes

Definition

• Multiples of 27 are numbers that can be expressed as 27 times an integer.
• The sequence starts from 27 and increases by 27 each time (i.e., 27, 54, 81, 108, etc.).

2. Pattern and Sequence

• The sequence of multiples of 27 is arithmetic, with a common difference of 27.
• Formula to find the n-th multiple: 27n where n is a positive integer.

3. First 10 Multiples

• The first 10 multiples of 27 are: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270.

4. Properties

• All multiples of 27 are divisible by 27.
• They are also multiples of 3 and 9, as 27 is a multiple of both.

5. Applications

• Common multiples: When finding common multiples with another number, such as in least common multiple (LCM) calculations.
• Real-life examples: Situations involving grouping or partitioning into 27 parts, such as packaging or distributing items.

Examples on Multiples of 27

Example 1: Finding Multiples in a Range

Problem: Identify all multiples of 27 between 100 and 500.

Start with the smallest multiple of 27 greater than or equal to 100.

27×4 = 108

Continue finding subsequent multiples of 27 until reaching or exceeding 500.

• 27×5 = 135
• 27×6 = 162
• 27×7 = 189
• 27×8 = 216
• 27×9 = 243
• 27×10 = 270
• 27×11 = 297
• 27×12 = 324
• 27×13 = 351
• 27×14 = 378
• 27×15 = 405
• 27×16 = 432
• 27×17 = 459
• 27×18 = 486

Multiples of 27 between 100 and 500: 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486.

Example 2: Using Multiples to Solve a Word Problem

Problem: A factory produces 27 widgets per hour. How many widgets will the factory produce in an 8-hour workday?

Find the total number of widgets produced in 8 hours by multiplying 27 by 8.

27×8 = 216

The factory will produce 216 widgets in an 8-hour workday.

Example 3: Determining Common Multiples

Problem: Find the least common multiple (LCM) of 27 and 36.

List the first few multiples of each number:

• Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, …
• Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, …

Identify the smallest common multiple.

Common multiples: 108, 216, 324, …

The least common multiple (LCM) of 27 and 36 is 108.

Example 4: Using Multiples for Divisibility

Problem: Determine if 405 is a multiple of 27.

Divide 405 by 27.

405÷27 = 15

Since 15 is an integer, 405 is a multiple of 27.

Yes, 405 is a multiple of 27.

Example 5: Multiples in Sequences

Problem: Find the 12th multiple of 27.

Multiply 27 by 12.

27×12 = 324

The 12th multiple of 27 is 324.

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