Multiples of 30

In mathematics, multiples of 30 are the products obtained by multiplying 30 by integers. These numbers play a crucial role in understanding various concepts such as multiplication, divisors, and factors. A multiple of 30 is any number that can be expressed as 30n, where ‘n’ is an integer. Multiples of 30 include numbers like 30, 60, 90, and so on, each sharing common factors with 30. Understanding multiples helps in solving problems related to number theory and arithmetic operations.

What are Multiples of 30?

Multiples of 30 are the products obtained by multiplying 30 by any integer. Examples include 30, 60, 90, 120, and so on. These numbers follow the pattern 30n, where n is any integer.

Prime Factorization of 30: 2 × 3 × 5 First 10 Multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300.

For example, 90, 150, 180 and 270 are all multiples of 30, 473 is not a multiple of 30 for the following reasons:

Number	Calculation	Reason	Remainder
90	90÷30 = 3	90 is a multiple of 30 because it divides evenly.	0
150	150÷30 = 5	150 is a multiple of 30 because it divides evenly.	0
180	180÷30 = 6	180 is a multiple of 30 because it divides evenly.	0
270	270÷30 = 9	270 is a multiple of 30 because it divides evenly.	0
473	473÷30 = 15	473 is not a multiple of 30 because it does not divide evenly.	23

List of First 100 Multiples of 30 with Remainders

Number	Reason	Remainder
30	30 is a multiple of 30 because 30 × 1 = 30	0
60	60 is a multiple of 30 because 30 × 2 = 60	0
90	90 is a multiple of 30 because 30 × 3 = 90	0
120	120 is a multiple of 30 because 30 × 4 = 120	0
150	150 is a multiple of 30 because 30 × 5 = 150	0
180	180 is a multiple of 30 because 30 × 6 = 180	0
210	210 is a multiple of 30 because 30 × 7 = 210	0
240	240 is a multiple of 30 because 30 × 8 = 240	0
270	270 is a multiple of 30 because 30 × 9 = 270	0
300	300 is a multiple of 30 because 30 × 10 = 300	0
330	330 is a multiple of 30 because 30 × 11 = 330	0
360	360 is a multiple of 30 because 30 × 12 = 360	0
390	390 is a multiple of 30 because 30 × 13 = 390	0
420	420 is a multiple of 30 because 30 × 14 = 420	0
450	450 is a multiple of 30 because 30 × 15 = 450	0
480	480 is a multiple of 30 because 30 × 16 = 480	0
510	510 is a multiple of 30 because 30 × 17 = 510	0
540	540 is a multiple of 30 because 30 × 18 = 540	0
570	570 is a multiple of 30 because 30 × 19 = 570	0
600	600 is a multiple of 30 because 30 × 20 = 600	0
630	630 is a multiple of 30 because 30 × 21 = 630	0
660	660 is a multiple of 30 because 30 × 22 = 660	0
690	690 is a multiple of 30 because 30 × 23 = 690	0
720	720 is a multiple of 30 because 30 × 24 = 720	0
750	750 is a multiple of 30 because 30 × 25 = 750	0
780	780 is a multiple of 30 because 30 × 26 = 780	0
810	810 is a multiple of 30 because 30 × 27 = 810	0
840	840 is a multiple of 30 because 30 × 28 = 840	0
870	870 is a multiple of 30 because 30 × 29 = 870	0
900	900 is a multiple of 30 because 30 × 30 = 900	0
930	930 is a multiple of 30 because 30 × 31 = 930	0
960	960 is a multiple of 30 because 30 × 32 = 960	0
990	990 is a multiple of 30 because 30 × 33 = 990	0
1020	1020 is a multiple of 30 because 30 × 34 = 1020	0
1050	1050 is a multiple of 30 because 30 × 35 = 1050	0
1080	1080 is a multiple of 30 because 30 × 36 = 1080	0
1110	1110 is a multiple of 30 because 30 × 37 = 1110	0
1140	1140 is a multiple of 30 because 30 × 38 = 1140	0
1170	1170 is a multiple of 30 because 30 × 39 = 1170	0
1200	1200 is a multiple of 30 because 30 × 40 = 1200	0
1230	1230 is a multiple of 30 because 30 × 41 = 1230	0
1260	1260 is a multiple of 30 because 30 × 42 = 1260	0
1290	1290 is a multiple of 30 because 30 × 43 = 1290	0
1320	1320 is a multiple of 30 because 30 × 44 = 1320	0
1350	1350 is a multiple of 30 because 30 × 45 = 1350	0
1380	1380 is a multiple of 30 because 30 × 46 = 1380	0
1410	1410 is a multiple of 30 because 30 × 47 = 1410	0
1440	1440 is a multiple of 30 because 30 × 48 = 1440	0
1470	1470 is a multiple of 30 because 30 × 49 = 1470	0
1500	1500 is a multiple of 30 because 30 × 50 = 1500	0
1530	1530 is a multiple of 30 because 30 × 51 = 1530	0
1560	1560 is a multiple of 30 because 30 × 52 = 1560	0
1590	1590 is a multiple of 30 because 30 × 53 = 1590	0
1620	1620 is a multiple of 30 because 30 × 54 = 1620	0
1650	1650 is a multiple of 30 because 30 × 55 = 1650	0
1680	1680 is a multiple of 30 because 30 × 56 = 1680	0
1710	1710 is a multiple of 30 because 30 × 57 = 1710	0
1740	1740 is a multiple of 30 because 30 × 58 = 1740	0
1770	1770 is a multiple of 30 because 30 × 59 = 1770	0
1800	1800 is a multiple of 30 because 30 × 60 = 1800	0
1830	1830 is a multiple of 30 because 30 × 61 = 1830	0
1860	1860 is a multiple of 30 because 30 × 62 = 1860	0
1890	1890 is a multiple of 30 because 30 × 63 = 1890	0
1920	1920 is a multiple of 30 because 30 × 64 = 1920	0
1950	1950 is a multiple of 30 because 30 × 65 = 1950	0
1980	1980 is a multiple of 30 because 30 × 66 = 1980	0
2010	2010 is a multiple of 30 because 30 × 67 = 2010	0
2040	2040 is a multiple of 30 because 30 × 68 = 2040	0
2070	2070 is a multiple of 30 because 30 × 69 = 2070	0
2100	2100 is a multiple of 30 because 30 × 70 = 2100	0
2130	2130 is a multiple of 30 because 30 × 71 = 2130	0
2160	2160 is a multiple of 30 because 30 × 72 = 2160	0
2190	2190 is a multiple of 30 because 30 × 73 = 2190	0
2220	2220 is a multiple of 30 because 30 × 74 = 2220	0
2250	2250 is a multiple of 30 because 30 × 75 = 2250	0
2280	2280 is a multiple of 30 because 30 × 76 = 2280	0
2310	2310 is a multiple of 30 because 30 × 77 = 2310	0
2340	2340 is a multiple of 30 because 30 × 78 = 2340	0
2370	2370 is a multiple of 30 because 30 × 79 = 2370	0
2400	2400 is a multiple of 30 because 30 × 80 = 2400	0
2430	2430 is a multiple of 30 because 30 × 81 = 2430	0
2460	2460 is a multiple of 30 because 30 × 82 = 2460	0
2490	2490 is a multiple of 30 because 30 × 83 = 2490	0
2520	2520 is a multiple of 30 because 30 × 84 = 2520	0
2550	2550 is a multiple of 30 because 30 × 85 = 2550	0
2580	2580 is a multiple of 30 because 30 × 86 = 2580	0
2610	2610 is a multiple of 30 because 30 × 87 = 2610	0
2640	2640 is a multiple of 30 because 30 × 88 = 2640	0
2670	2670 is a multiple of 30 because 30 × 89 = 2670	0
2700	2700 is a multiple of 30 because 30 × 90 = 2700	0
2730	2730 is a multiple of 30 because 30 × 91 = 2730	0
2760	2760 is a multiple of 30 because 30 × 92 = 2760	0
2790	2790 is a multiple of 30 because 30 × 93 = 2790	0
2820	2820 is a multiple of 30 because 30 × 94 = 2820	0
2850	2850 is a multiple of 30 because 30 × 95 = 2850	0
2880	2880 is a multiple of 30 because 30 × 96 = 2880	0
2910	2910 is a multiple of 30 because 30 × 97 = 2910	0
2940	2940 is a multiple of 30 because 30 × 98 = 2940	0
2970	2970 is a multiple of 30 because 30 × 99 = 2970	0
3000	3000 is a multiple of 30 because 30 × 100 = 3000	0

Read More About Multiples of 30

Table of 30

Important Notes

Definition: A multiple of 30 is any number that can be expressed as 30×n, where n is an integer. This means that the multiples of 30 include numbers like 30, 60, 90, 120, and so on.

Common Factors: Multiples of 30 have common factors of 1, 2, 3, 5, 6, 10, 15, and 30. This is because 30 is the product of its prime factors 2×3×5.

Divisibility: A number is a multiple of 30 if it is divisible by both 3 and 10. To check for divisibility by 3, the sum of the digits should be divisible by 3. To check for divisibility by 10, the number must end in 0.

Pattern: The multiples of 30 follow a simple pattern where each multiple increases by 30. For example, starting from 30, the sequence is 30, 60, 90, 120, 150, etc.

Applications: Multiples of 30 are used in various practical applications such as time (minutes in an hour), measurements, and in contexts where grouping or scheduling occurs in intervals of 30 units.

Examples on Multiples of 30

Simple Multiples

• 1 × 30 = 30
• 2 × 30 = 60
• 3 × 30 = 90

Larger Multiples

• 10 × 30 = 300
• 20 × 30 = 600

Real-Life Examples

• Time: 60 minutes in an hour is a multiple of 30 because 2 × 30 = 60.
• Money: $30 is a multiple of 30 because 1 × 30 = 30.
• Weight: 300 grams is a multiple of 30 because 10 × 30 = 300.

Practical Examples of Multiples of 30

What is the 5th multiple of 30?

The 5th multiple of 30 is 5 × 30 = 150.

Is 90 a multiple of 30?

Yes, 90 is a multiple of 30 because 3 × 30 = 90.

What is the next multiple of 30 after 150?

The next multiple of 30 after 150 is 150 + 30 = 180.

Find the 8th multiple of 30.

The 8th multiple of 30 is 8 × 30 = 240.

Is 85 a multiple of 30?

No, 85 is not a multiple of 30 because it cannot be expressed as 30 × n where n is an integer.

FAQs