Multiples of 98

Multiples of 98 are numbers that can be obtained by multiplying 98 by any integer. In mathematics, a multiple of a number is the product of that number and an integer. For example, 98, 196, and 294 are multiples of 98, found by multiplying 98 with 1, 2, and 3 respectively. These multiples include both positive and negative values, as multiplying by negative integers yields negative multiples. Understanding multiples is essential in number theory, as they help in identifying divisors, factors, and relationships between numbers.

What are Multiples of 98?

Multiples of 98 are numbers obtained by multiplying 98 with whole numbers (integers). These include 98, 196, 294, and so on. Each multiple can be expressed as 98n, where n is an integer.

Prime Factorization of 98: 2 x 7 x 7 First 10 Multiples of 98 are 98, 196, 294, 392, 490, 588, 686, 784, 882, 980.

For example, 294, 490, 686 and 882 are all multiples of 98, 900 is not a multiple of 98 for the following reasons:

Number	Reason	Remainder
294	294 is a multiple of 98 because 98 × 3 = 294	0
490	490 is a multiple of 98 because 98 × 5 = 490	0
686	686 is a multiple of 98 because 98 × 7 = 686	0
882	882 is a multiple of 98 because 98 × 9 = 882	0
900	900 is not a multiple of 98 because 98 × 9 = 882 with a remainder of 18	18

List of First 100 Multiples of 98 with Remainders

Number	Reason	Remainder
98	98 is a multiple of 98 because 98 × 1 = 98	0
196	196 is a multiple of 98 because 98 × 2 = 196	0
294	294 is a multiple of 98 because 98 × 3 = 294	0
392	392 is a multiple of 98 because 98 × 4 = 392	0
490	490 is a multiple of 98 because 98 × 5 = 490	0
588	588 is a multiple of 98 because 98 × 6 = 588	0
686	686 is a multiple of 98 because 98 × 7 = 686	0
784	784 is a multiple of 98 because 98 × 8 = 784	0
882	882 is a multiple of 98 because 98 × 9 = 882	0
980	980 is a multiple of 98 because 98 × 10 = 980	0
1078	1078 is a multiple of 98 because 98 × 11 = 1078	0
1176	1176 is a multiple of 98 because 98 × 12 = 1176	0
1274	1274 is a multiple of 98 because 98 × 13 = 1274	0
1372	1372 is a multiple of 98 because 98 × 14 = 1372	0
1470	1470 is a multiple of 98 because 98 × 15 = 1470	0
1568	1568 is a multiple of 98 because 98 × 16 = 1568	0
1666	1666 is a multiple of 98 because 98 × 17 = 1666	0
1764	1764 is a multiple of 98 because 98 × 18 = 1764	0
1862	1862 is a multiple of 98 because 98 × 19 = 1862	0
1960	1960 is a multiple of 98 because 98 × 20 = 1960	0
2058	2058 is a multiple of 98 because 98 × 21 = 2058	0
2156	2156 is a multiple of 98 because 98 × 22 = 2156	0
2254	2254 is a multiple of 98 because 98 × 23 = 2254	0
2352	2352 is a multiple of 98 because 98 × 24 = 2352	0
2450	2450 is a multiple of 98 because 98 × 25 = 2450	0
2548	2548 is a multiple of 98 because 98 × 26 = 2548	0
2646	2646 is a multiple of 98 because 98 × 27 = 2646	0
2744	2744 is a multiple of 98 because 98 × 28 = 2744	0
2842	2842 is a multiple of 98 because 98 × 29 = 2842	0
2940	2940 is a multiple of 98 because 98 × 30 = 2940	0
3038	3038 is a multiple of 98 because 98 × 31 = 3038	0
3136	3136 is a multiple of 98 because 98 × 32 = 3136	0
3234	3234 is a multiple of 98 because 98 × 33 = 3234	0
3332	3332 is a multiple of 98 because 98 × 34 = 3332	0
3430	3430 is a multiple of 98 because 98 × 35 = 3430	0
3528	3528 is a multiple of 98 because 98 × 36 = 3528	0
3626	3626 is a multiple of 98 because 98 × 37 = 3626	0
3724	3724 is a multiple of 98 because 98 × 38 = 3724	0
3822	3822 is a multiple of 98 because 98 × 39 = 3822	0
3920	3920 is a multiple of 98 because 98 × 40 = 3920	0
4018	4018 is a multiple of 98 because 98 × 41 = 4018	0
4116	4116 is a multiple of 98 because 98 × 42 = 4116	0
4214	4214 is a multiple of 98 because 98 × 43 = 4214	0
4312	4312 is a multiple of 98 because 98 × 44 = 4312	0
4410	4410 is a multiple of 98 because 98 × 45 = 4410	0
4508	4508 is a multiple of 98 because 98 × 46 = 4508	0
4606	4606 is a multiple of 98 because 98 × 47 = 4606	0
4704	4704 is a multiple of 98 because 98 × 48 = 4704	0
4802	4802 is a multiple of 98 because 98 × 49 = 4802	0
4900	4900 is a multiple of 98 because 98 × 50 = 4900	0
4998	4998 is a multiple of 98 because 98 × 51 = 4998	0
5096	5096 is a multiple of 98 because 98 × 52 = 5096	0
5194	5194 is a multiple of 98 because 98 × 53 = 5194	0
5292	5292 is a multiple of 98 because 98 × 54 = 5292	0
5390	5390 is a multiple of 98 because 98 × 55 = 5390	0
5488	5488 is a multiple of 98 because 98 × 56 = 5488	0
5586	5586 is a multiple of 98 because 98 × 57 = 5586	0
5684	5684 is a multiple of 98 because 98 × 58 = 5684	0
5782	5782 is a multiple of 98 because 98 × 59 = 5782	0
5880	5880 is a multiple of 98 because 98 × 60 = 5880	0
5978	5978 is a multiple of 98 because 98 × 61 = 5978	0
6076	6076 is a multiple of 98 because 98 × 62 = 6076	0
6174	6174 is a multiple of 98 because 98 × 63 = 6174	0
6272	6272 is a multiple of 98 because 98 × 64 = 6272	0
6370	6370 is a multiple of 98 because 98 × 65 = 6370	0
6468	6468 is a multiple of 98 because 98 × 66 = 6468	0
6566	6566 is a multiple of 98 because 98 × 67 = 6566	0
6664	6664 is a multiple of 98 because 98 × 68 = 6664	0
6762	6762 is a multiple of 98 because 98 × 69 = 6762	0
6860	6860 is a multiple of 98 because 98 × 70 = 6860	0
6958	6958 is a multiple of 98 because 98 × 71 = 6958	0
7056	7056 is a multiple of 98 because 98 × 72 = 7056	0
7154	7154 is a multiple of 98 because 98 × 73 = 7154	0
7252	7252 is a multiple of 98 because 98 × 74 = 7252	0
7350	7350 is a multiple of 98 because 98 × 75 = 7350	0
7448	7448 is a multiple of 98 because 98 × 76 = 7448	0
7546	7546 is a multiple of 98 because 98 × 77 = 7546	0
7644	7644 is a multiple of 98 because 98 × 78 = 7644	0
7742	7742 is a multiple of 98 because 98 × 79 = 7742	0
7840	7840 is a multiple of 98 because 98 × 80 = 7840	0
7938	7938 is a multiple of 98 because 98 × 81 = 7938	0
8036	8036 is a multiple of 98 because 98 × 82 = 8036	0
8134	8134 is a multiple of 98 because 98 × 83 = 8134	0
8232	8232 is a multiple of 98 because 98 × 84 = 8232	0
8330	8330 is a multiple of 98 because 98 × 85 = 8330	0
8428	8428 is a multiple of 98 because 98 × 86 = 8428	0
8526	8526 is a multiple of 98 because 98 × 87 = 8526	0
8624	8624 is a multiple of 98 because 98 × 88 = 8624	0
8722	8722 is a multiple of 98 because 98 × 89 = 8722	0
8820	8820 is a multiple of 98 because 98 × 90 = 8820	0
8918	8918 is a multiple of 98 because 98 × 91 = 8918	0
9016	9016 is a multiple of 98 because 98 × 92 = 9016	0
9114	9114 is a multiple of 98 because 98 × 93 = 9114	0
9212	9212 is a multiple of 98 because 98 × 94 = 9212	0
9310	9310 is a multiple of 98 because 98 × 95 = 9310	0
9408	9408 is a multiple of 98 because 98 × 96 = 9408	0
9506	9506 is a multiple of 98 because 98 × 97 = 9506	0
9604	9604 is a multiple of 98 because 98 × 98 = 9604	0
9702	9702 is a multiple of 98 because 98 × 99 = 9702	0
9800	9800 is a multiple of 98 because 98 × 100 = 9800	0

Read More About Multiples of 98

Table of 98

Important Notes

Step 1: Definition of Multiples

Multiples of a number are the result of multiplying that number by an integer. In this case, a multiple of 98 is any number that can be expressed as 98×n, where n is an integer.

Step 2: Finding Initial Multiples of 98

To find the first few multiples of 98, we multiply 98 by the first few positive integers:

• 98×1 = 98
• 98×2 = 196
• 98×3 = 294
• 98×4 = 392
• 98×5 = 490

Step 3: Properties of Multiples of 98

Multiples of 98 share several common properties:

• Divisibility: All multiples of 98 are divisible by 98.
• Even Numbers: Since 98 is even, all multiples of 98 are also even.
• Common Factor: 98 can be factorized into 2×7×7. Therefore, all multiples of 98 have at least these factors.

Step 4: General Formula for Multiples of 98

The general formula to find any multiple of 98 is: Multiple of 98 = 98×n where n is any integer (positive, negative, or zero).

Step 5: Examples and Patterns

Here are some more examples to illustrate the pattern:

• 98×6 = 588
• 98×7 = 686
• 98×10 = 980
• 98×15 = 1470

Examples on Multiples of 98

Simple Multiples of 98

• 392: 98×4 = 392
• 980: 98×10 = 980
• 1568: 98×16 = 1568

Larger Multiples of 98

• 4900: 98×50 = 4900
• 9800: 98×100 = 9800
• 19600: 98×200 = 19600

Real-Life Examples of Multiples of 98

• Time: If you have 980 minutes, it is a multiple of 98 because 98×10 = 980.
• Distance: A journey of 4900 kilometers is a multiple of 98 because 98×50 = 4900.
• Measurement: A field measuring 9800 square meters is a multiple of 98 because 98×100 = 9800.

Practical Examples of Multiples of 98

What is the 15th multiple of 98?

The 15th multiple of 98 is 98×15 = 1470.

Is 490 a multiple of 98?

Yes, 490 is a multiple of 98 because 98×5 = 490.

What is the next multiple of 98 after 1960?

The next multiple of 98 after 1960 is 1960+98 = 2058.

Find the 25th multiple of 98.

The 25th multiple of 98 is 98×25 = 2450.

Is 713 a multiple of 98?

No, 713 is not a multiple of 98 because it cannot be expressed as 98×n where n is an integer.

FAQs