What is the smallest multiple of 308 that is greater than 1000?
1232
1456
1540
1840
of 10
Multiples of 308
Multiples of 308
Multiples of 308 are numbers that can be expressed as 308×n, where n is an integer. These multiples follow a pattern, increasing by 308 each time (e.g., 308, 616, 924, 1232, 1540). They are crucial in mathematics, particularly in algebraic concepts, squares, square roots, and fractions. Multiples of 308 help in understanding the properties of numbers and in performing various arithmetic operations efficiently. Recognizing these multiples aids in grasping more complex mathematical ideas and solving algebraic equations. They serve as essential building blocks in number theory, helping to explore patterns, relationships, and the behavior of numbers within mathematical frameworks. Understanding multiples of 308 enhances number theory comprehension and arithmetic proficiency.
What are Multiples of 308?
Multiples of 308 are numbers that can be expressed as 308×n, where n is an integer. These numbers are always even and include values like 308, 616, 924, 1232, and so on.
Prime Factorization of 308: 2 x2 x 7 x 11
First 10 Multiples of 308 are 308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080
First 50 Multiples of 308 are 308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080, 3388, 3696, 4004, 4312, 4620, 4928, 5236, 5544, 5852, 6160, 6468, 6776, 7084, 7392, 7700, 8008, 8316, 8624, 8932, 9240, 9548, 9856, 10164, 10472, 10780, 11088, 11396, 11704, 12012, 12320, 12628, 12936, 13244, 13552, 13860, 14168, 14476, 14784, 15092, 15400.
For example, 308, 616, 924 and 1232 are all multiples of 308, 449 is not a multiple of 308 for the following reasons:
| Number | Reason | Remainder |
|---|---|---|
| 308 | 308×1=308308×1=308, exact multiple | 0 |
| 616 | 308×2=616308×2=616, exact multiple | 0 |
| 924 | 308×3=924308×3=924, exact multiple | 0 |
| 1232 | 308×4=1232308×4=1232, exact multiple | 0 |
| 449 | 449÷308≈1.457449÷308≈1.457, not an integer | 141 |
List of First 100 Multiples of 308 with Remainders
| Number | Reason | Remainder |
|---|---|---|
| 308 | 308×1=308308×1=308, exact multiple | 0 |
| 616 | 308×2=616308×2=616, exact multiple | 0 |
| 924 | 308×3=924308×3=924, exact multiple | 0 |
| 1232 | 308×4=1232308×4=1232, exact multiple | 0 |
| 1540 | 308×5=1540308×5=1540, exact multiple | 0 |
| 1848 | 308×6=1848308×6=1848, exact multiple | 0 |
| 2156 | 308×7=2156308×7=2156, exact multiple | 0 |
| 2464 | 308×8=2464308×8=2464, exact multiple | 0 |
| 2772 | 308×9=2772308×9=2772, exact multiple | 0 |
| 3080 | 308×10=3080308×10=3080, exact multiple | 0 |
| 3388 | 308×11=3388308×11=3388, exact multiple | 0 |
| 3696 | 308×12=3696308×12=3696, exact multiple | 0 |
| 4004 | 308×13=4004308×13=4004, exact multiple | 0 |
| 4312 | 308×14=4312308×14=4312, exact multiple | 0 |
| 4620 | 308×15=4620308×15=4620, exact multiple | 0 |
| 4928 | 308×16=4928308×16=4928, exact multiple | 0 |
| 5236 | 308×17=5236308×17=5236, exact multiple | 0 |
| 5544 | 308×18=5544308×18=5544, exact multiple | 0 |
| 5852 | 308×19=5852308×19=5852, exact multiple | 0 |
| 6160 | 308×20=6160308×20=6160, exact multiple | 0 |
| 6468 | 308×21=6468308×21=6468, exact multiple | 0 |
| 6776 | 308×22=6776308×22=6776, exact multiple | 0 |
| 7084 | 308×23=7084308×23=7084, exact multiple | 0 |
| 7392 | 308×24=7392308×24=7392, exact multiple | 0 |
| 7700 | 308×25=7700308×25=7700, exact multiple | 0 |
| 8008 | 308×26=8008308×26=8008, exact multiple | 0 |
| 8316 | 308×27=8316308×27=8316, exact multiple | 0 |
| 8624 | 308×28=8624308×28=8624, exact multiple | 0 |
| 8932 | 308×29=8932308×29=8932, exact multiple | 0 |
| 9240 | 308×30=9240308×30=9240, exact multiple | 0 |
| 9548 | 308×31=9548308×31=9548, exact multiple | 0 |
| 9856 | 308×32=9856308×32=9856, exact multiple | 0 |
| 10164 | 308×33=10164308×33=10164, exact multiple | 0 |
| 10472 | 308×34=10472308×34=10472, exact multiple | 0 |
| 10780 | 308×35=10780308×35=10780, exact multiple | 0 |
| 11088 | 308×36=11088308×36=11088, exact multiple | 0 |
| 11396 | 308×37=11396308×37=11396, exact multiple | 0 |
| 11704 | 308×38=11704308×38=11704, exact multiple | 0 |
| 12012 | 308×39=12012308×39=12012, exact multiple | 0 |
| 12320 | 308×40=12320308×40=12320, exact multiple | 0 |
| 12628 | 308×41=12628308×41=12628, exact multiple | 0 |
| 12936 | 308×42=12936308×42=12936, exact multiple | 0 |
| 13244 | 308×43=13244308×43=13244, exact multiple | 0 |
| 13552 | 308×44=13552308×44=13552, exact multiple | 0 |
| 13860 | 308×45=13860308×45=13860, exact multiple | 0 |
| 14168 | 308×46=14168308×46=14168, exact multiple | 0 |
| 14476 | 308×47=14476308×47=14476, exact multiple | 0 |
| 14784 | 308×48=14784308×48=14784, exact multiple | 0 |
| 15092 | 308×49=15092308×49=15092, exact multiple | 0 |
| 15400 | 308×50=15400308×50=15400, exact multiple | 0 |
| 15708 | 308×51=15708308×51=15708, exact multiple | 0 |
| 16016 | 308×52=16016308×52=16016, exact multiple | 0 |
| 16324 | 308×53=16324308×53=16324, exact multiple | 0 |
| 16632 | 308×54=16632308×54=16632, exact multiple | 0 |
| 16940 | 308×55=16940308×55=16940, exact multiple | 0 |
| 17248 | 308×56=17248308×56=17248, exact multiple | 0 |
| 17556 | 308×57=17556308×57=17556, exact multiple | 0 |
| 17864 | 308×58=17864308×58=17864, exact multiple | 0 |
| 18172 | 308×59=18172308×59=18172, exact multiple | 0 |
| 18480 | 308×60=18480308×60=18480, exact multiple | 0 |
| 18788 | 308×61=18788308×61=18788, exact multiple | 0 |
| 19096 | 308×62=19096308×62=19096, exact multiple | 0 |
| 19404 | 308×63=19404308×63=19404, exact multiple | 0 |
| 19712 | 308×64=19712308×64=19712, exact multiple | 0 |
| 20020 | 308×65=20020308×65=20020, exact multiple | 0 |
| 20328 | 308×66=20328308×66=20328, exact multiple | 0 |
| 20636 | 308×67=20636308×67=20636, exact multiple | 0 |
| 20944 | 308×68=20944308×68=20944, exact multiple | 0 |
| 21252 | 308×69=21252308×69=21252, exact multiple | 0 |
| 21560 | 308×70=21560308×70=21560, exact multiple | 0 |
| 21868 | 308×71=21868308×71=21868, exact multiple | 0 |
| 22176 | 308×72=22176308×72=22176, exact multiple | 0 |
| 22484 | 308×73=22484308×73=22484, exact multiple | 0 |
| 22792 | 308×74=22792308×74=22792, exact multiple | 0 |
| 23100 | 308×75=23100308×75=23100, exact multiple | 0 |
| 23408 | 308×76=23408308×76=23408, exact multiple | 0 |
| 23716 | 308×77=23716308×77=23716, exact multiple | 0 |
| 24024 | 308×78=24024308×78=24024, exact multiple | 0 |
| 24332 | 308×79=24332308×79=24332, exact multiple | 0 |
| 24640 | 308×80=24640308×80=24640, exact multiple | 0 |
| 24948 | 308×81=24948308×81=24948, exact multiple | 0 |
| 25256 | 308×82=25256308×82=25256, exact multiple | 0 |
| 25564 | 308×83=25564308×83=25564, exact multiple | 0 |
| 25872 | 308×84=25872308×84=25872, exact multiple | 0 |
| 26180 | 308×85=26180308×85=26180, exact multiple | 0 |
| 26488 | 308×86=26488308×86=26488, exact multiple | 0 |
| 26796 | 308×87=26796308×87=26796, exact multiple | 0 |
| 27104 | 308×88=27104308×88=27104, exact multiple | 0 |
| 27412 | 308×89=27412308×89=27412, exact multiple | 0 |
| 27720 | 308×90=27720308×90=27720, exact multiple | 0 |
| 28028 | 308×91=28028308×91=28028, exact multiple | 0 |
| 28336 | 308×92=28336308×92=28336, exact multiple | 0 |
| 28644 | 308×93=28644308×93=28644, exact multiple | 0 |
| 28952 | 308×94=28952308×94=28952, exact multiple | 0 |
| 29260 | 308×95=29260308×95=29260, exact multiple | 0 |
| 29568 | 308×96=29568308×96=29568, exact multiple | 0 |
| 29876 | 308×97=29876308×97=29876, exact multiple | 0 |
| 30184 | 308×98=30184308×98=30184, exact multiple | 0 |
| 30492 | 308×99=30492308×99=30492, exact multiple | 0 |
| 30800 | 308×100=30800308×100=30800, exact multiple | 0 |
Important Notes
- Even Numbers: All multiples of 308 are even numbers, meaning they end in 0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on.
- Divisibility: A number is a multiple of 308 if it can be divided by 308 with no remainder.
- Factors: Multiples of 308 have 308 as one of their factors.
- Infinite Sequence: There are infinitely many multiples of 308, extending indefinitely as 308, 616, 924, 1232, 1540, and so on.
- Arithmetic Pattern: The difference between consecutive multiples of 308 is always 308
Examples on Multiples of 308
Simple Multiples
- 308: 308×1=308
- 616: 308×2=616
- 924: 308×3=924
Larger Multiples
- 3080: 308×10=3080
- 6160: 308×20=6160
- 9240: 308×30=9240
Real-Life Examples
- Time: 308 seconds in a minute is a multiple of 308 because 308×1=308
- Money: $308 is a multiple of 308 because 308×1=308
- Measurements: 308 yards is a multiple of 308 because 308×1=308
Practical Examples of Multiples of 308
- Construction: A wall made of 308 bricks is a multiple of 308 because 308×1=308
- Time: An event lasting 308 minutes is a multiple of 308 because 308×1=308
- Finance: Saving $308 every month is a multiple of 308 because 308×1=308
- Travel: Driving 308 miles is a multiple of 308 because 308×1=308308×1=308.
- Packaging: A shipment containing 308 items is a multiple of 308 because 308×1=308
Practical Applications
- Counting by 308s: When counting by 308s (308, 616, 924, 1232…), you are listing the multiples of 308.
- Multiples of 308: Any multiple of 308, such as 3080 or 6160, is a multiple of 308 because it can be divided evenly by 308.
What are multiples of 308?
Multiples of 308 are numbers that can be expressed as 308×n, where n is an integer.
What is the first multiple of 308?
The first multiple of 308 is 308 itself.
Are all multiples of 308 even?
Yes, since 308 is an even number, all of its multiples are also even.
How can you identify a multiple of 308?
A number is a multiple of 308 if it can be divided by 308 without leaving a remainder.
What is the 10th multiple of 308?
The 10th multiple of 308 is 308×10=3080
What is the 20th multiple of 308?
The 20th multiple of 308 is 308×20=6160
What is the smallest multiple of 308?
The smallest multiple of 308 is 308 itself.
Is 1540 a multiple of 308?
Yes, 1540 is a multiple of 308 because 308×5=1540
Is 449 a multiple of 308?
No, 449 is not a multiple of 308 because it does not divide evenly by 308.
What is the difference between consecutive multiples of 308?
The difference between consecutive multiples of 308 is always 308.
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Practice Test
Which number is a multiple of 308 and less than 2000?
1696
2024
2100
2500
of 10
What is the 7th multiple of 308?
1716
1936
2164
2356
of 10
If you subtract 308 from 1540, what multiple of 308 do you get?
1232
1456
1936
1696
of 10
How many multiples of 308 are there between 1000 and 3000?
5
6
7
8
of 10
What is the difference between the 10th and 5th multiples of 308?
1232
1540
1544
3080
of 10
Find the product of 308 and 9.
2772
2770
2880
2968
of 10
Which of the following is a multiple of 308 and is also a three-digit number?
616
924
1232
1540
of 10
What is the 12th multiple of 308?
3696
3690
3720
3728
of 10
Which of these numbers is the smallest multiple of 308 that is greater than 2500?
2772
3076
3080
3388
of 10