Multiples of 77
What is a multiple in math?
The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...).
Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative.
For example, 231 can be divided by 3 without a reminder. Like this, 231 is a multiple of 77 because 3 times 77 equals 231. In other words, we can say that 231 is a multiple of 3 because there is a natural - 3 - which multiplied by 77 equals 231. The statement '231 is a multiple of 3' is equivalent to '231 is divisible by 3', or that 3 is a divider of 231.
So, to find the multiples of 77, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 77:
- 77 x 0 = 0, so 0 is a multiple of 77.
- 77 x 1 = 77, so 77 is a multiple of 77.
- 77 x 2 = 154, so 154 is a multiple of 77.
- 77 x 3 = 231, so 231 is a multiple of 77.
- 77 x 4 = 308, so 308 is a multiple of 77.
- 77 x 5 = 385, so 385 is a multiple of 77.
- 77 x 6 = 462, so 462 is a multiple of 77.
- 77 x 7 = 539, so 539 is a multiple of 77.
- 77 x 8 = 616, so 616 is a multiple of 77.
- 77 x 9 = 693, so 693 is a multiple of 77.
The first 10 multiples of 77 are: 0, 77, 154, 231, 308, 385, 462, 539, 616, 693.
Facts About Multiples
- Any number is a multiple of itself (n x 1 = n).
- Any number is a multiple of 1 (1 x n = n).
- Zero is a multiple of any number (0 x n = 0).
- The set of multiples of a number is an infinite set since we can get this by multiplying the number given by all the natural numbers. The set of multiples of n can be represented by M n = {0 x n, 1 x n, 2 x n, 3 x n, 4 x n, ...} (where n is any natural). For example, the set of multiples of 77 is represented as M 77 = {0, 77,154,231,308, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 77 and 3, are multiplied, then the result, 231, is a common multiple of 77 and 3.
Note: The product of these two numbers is not necessarily the least common multiple-LCM of these numbers.
Multiples Table
- 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
- 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
- 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60
- 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
- 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
- 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120
- 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140
- 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
- 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
- 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
- 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220
- 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
- 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260
- 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280
- 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300