# Multiples of a number

This tool calculates the first 150 positive multiples of an integer number.

Multiples of number 6
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 432, 438, 444, 450, 456, 462, 468, 474, 480, 486, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588, 594, 600, 606, 612, 618, 624, 630, 636, 642, 648, 654, 660, 666, 672, 678, 684, 690, 696, 702, 708, 714, 720, 726, 732, 738, 744, 750, 756, 762, 768, 774, 780, 786, 792, 798, 804, 810, 816, 822, 828, 834, 840, 846, 852, 858, 864, 870, 876, 882, 888, 894, 900, 906, 912, 918, 924, 930, 936, 942, 948, 954, 960, 966, 972, 978, 984, 990, 996, 1002, 1008, 1014, 1020, 1026, 1032, 1038, 1044, 1050, 1056, 1062, 1068, 1074, 1080, 1086, 1092, 1098, 1104, 1110, 1116, 1122, 1128, 1134, 1140, 1146, 1152, 1158, 1164, 1170, 1176, 1182, 1188, 1194, 1200, 1206, 1212, 1218, 1224, 1230, 1236, 1242, 1248, 1254, 1260, 1266, 1272, 1278, 1284, 1290, 1296, 1302, 1308, 1314, 1320, 1326, 1332, 1338, 1344, 1350, 1356, 1362, 1368, 1374, 1380, 1386, 1392, 1398, 1404, 1410, 1416, 1422, 1428, 1434, 1440, 1446, 1452, 1458, 1464, 1470, 1476, 1482, 1488, 1494, 1500, 1506, 1512, 1518, 1524, 1530, 1536, 1542, 1548, 1554, 1560, 1566, 1572, 1578, 1584, 1590, 1596, 1602, 1608, 1614, 1620, 1626, 1632, 1638, 1644, 1650, 1656, 1662, 1668, 1674, 1680, 1686, 1692, 1698, 1704, 1710, 1716, 1722, 1728, 1734, 1740, 1746, 1752, 1758, 1764, 1770, 1776, 1782, 1788, 1794, 1800

## How to find the multiples of a number?

Simply multiply this number by 1, 2, 3, 4, 5, etc.

Example: the multiples of 3 are: 3x1, 3x2, 3x3, 3x4, etc, these are equal to,
3, 6, 9, 12, 15, 18, 21, etc

The list of multiples of a number is infinite (we can't list all of them!).

## Easily identify multiples of 2, 3, 5...

- A multiple of 2 always ends with an even digit: 0, 2, 4, 6 or 8.
- A mutliple of 3: the sum of its digits is a multiple of 3.
- A multiple of 4: its last 2 digits form a number which is a multiple of 4.
- A multiple of 5: always ends with 0 or 5.
- A mutliple of 9: the sum of its digits is a multiple of 9.
- A multiple of 10: always ends with 0.

## Special cases

- A number is always multiple of itself.
- 0 is a multiple of all numbers (0 = 0 x n).

## Programming

### Python

This python program finds the first c multiples of a given integer n.


def multiples(n, c):
m = []
for i in range (c):
m.append((i+1) *n)
return m