Multiples of 75

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Created by: Team Maths - Examples.com, Last Updated: August 22, 2024

Multiples of 75

Multiples of 75 are numbers expressed as 75×𝑛, where 𝑛 is an integer. These multiples are not always even; they follow a pattern, increasing by 75 each time (e.g., 75, 150, 225, 300, 375). Multiples of 75 are crucial in mathematics, especially in algebraic concepts, squares, square roots, and fractions. They are fundamental for understanding number properties and performing various arithmetic operations efficiently. Recognizing these multiples aids in grasping complex mathematical ideas and solving algebraic equations. Multiples serve as essential building blocks in number theory, helping explore patterns, relationships, and the behavior of numbers within mathematical frameworks. This understanding is key to mastering more advanced mathematical concepts and applications.

What are Multiples of 75?

Multiples of 75 are numbers that can be expressed as 75×n, where n is an integer. These numbers are always even and include values like 75 , 150, 225, 300, and so on.

Prime Factorization of 75 :3 x 5 x 5

First 10 Multiples of 75 are 75, 150, 225, 300, 375, 450, 525, 600, 675, 750.

First 50 Multiples of 50 are 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350, 1425, 1500, 1575, 1650, 1725, 1800, 1875, 1950, 2025, 2100, 2175, 2250, 2325, 2400, 2475, 2550, 2625, 2700, 2775, 2850, 2925, 3000, 3075, 3150, 3225, 3300, 3375, 3450, 3525, 3600, 3675, 3750.

For example, 75, 150, 225 and 300 are all multiples of 75, 140 is not a multiple of 75 for the following reasons:

NumberReasonRemainder
7575 is 75×175×1, which makes it a multiple of 750
150150 is 75×275×2, which makes it a multiple of 750
225225 is 75×375×3, which makes it a multiple of 750
300300 is 75×475×4, which makes it a multiple of 750
140140 is not divisible by 75, 140 ÷ 75 = 1 with a remainder of 6565

List of First 100 Multiples of 75 with Remainders

NumberReasonRemainder
7575 is 75×175×1, which makes it a multiple of 750
150150 is 75×275×2, which makes it a multiple of 750
225225 is 75×375×3, which makes it a multiple of 750
300300 is 75×475×4, which makes it a multiple of 750
375375 is 75×575×5, which makes it a multiple of 750
450450 is 75×675×6, which makes it a multiple of 750
525525 is 75×775×7, which makes it a multiple of 750
600600 is 75×875×8, which makes it a multiple of 750
675675 is 75×975×9, which makes it a multiple of 750
750750 is 75×1075×10, which makes it a multiple of 750
825825 is 75×1175×11, which makes it a multiple of 750
900900 is 75×1275×12, which makes it a multiple of 750
975975 is 75×1375×13, which makes it a multiple of 750
10501050 is 75×1475×14, which makes it a multiple of 750
11251125 is 75×1575×15, which makes it a multiple of 750
12001200 is 75×1675×16, which makes it a multiple of 750
12751275 is 75×1775×17, which makes it a multiple of 750
13501350 is 75×1875×18, which makes it a multiple of 750
14251425 is 75×1975×19, which makes it a multiple of 750
15001500 is 75×2075×20, which makes it a multiple of 750
15751575 is 75×2175×21, which makes it a multiple of 750
16501650 is 75×2275×22, which makes it a multiple of 750
17251725 is 75×2375×23, which makes it a multiple of 750
18001800 is 75×2475×24, which makes it a multiple of 750
18751875 is 75×2575×25, which makes it a multiple of 750
19501950 is 75×2675×26, which makes it a multiple of 750
20252025 is 75×2775×27, which makes it a multiple of 750
21002100 is 75×2875×28, which makes it a multiple of 750
21752175 is 75×2975×29, which makes it a multiple of 750
22502250 is 75×3075×30, which makes it a multiple of 750
23252325 is 75×3175×31, which makes it a multiple of 750
24002400 is 75×3275×32, which makes it a multiple of 750
24752475 is 75×3375×33, which makes it a multiple of 750
25502550 is 75×3475×34, which makes it a multiple of 750
26252625 is 75×3575×35, which makes it a multiple of 750
27002700 is 75×3675×36, which makes it a multiple of 750
27752775 is 75×3775×37, which makes it a multiple of 750
28502850 is 75×3875×38, which makes it a multiple of 750
29252925 is 75×3975×39, which makes it a multiple of 750
30003000 is 75×4075×40, which makes it a multiple of 750
30753075 is 75×4175×41, which makes it a multiple of 750
31503150 is 75×4275×42, which makes it a multiple of 750
32253225 is 75×4375×43, which makes it a multiple of 750
33003300 is 75×4475×44, which makes it a multiple of 750
33753375 is 75×4575×45, which makes it a multiple of 750
34503450 is 75×4675×46, which makes it a multiple of 750
35253525 is 75×4775×47, which makes it a multiple of 750
36003600 is 75×4875×48, which makes it a multiple of 750
36753675 is 75×4975×49, which makes it a multiple of 750
37503750 is 75×5075×50, which makes it a multiple of 750
38253825 is 75×5175×51, which makes it a multiple of 750
39003900 is 75×5275×52, which makes it a multiple of 750
39753975 is 75×5375×53, which makes it a multiple of 750
40504050 is 75×5475×54, which makes it a multiple of 750
41254125 is 75×5575×55, which makes it a multiple of 750
42004200 is 75×5675×56, which makes it a multiple of 750
42754275 is 75×5775×57, which makes it a multiple of 750
43504350 is 75×5875×58, which makes it a multiple of 750
44254425 is 75×5975×59, which makes it a multiple of 750
45004500 is 75×6075×60, which makes it a multiple of 750
45754575 is 75×6175×61, which makes it a multiple of 750
46504650 is 75×6275×62, which makes it a multiple of 750
47254725 is 75×6375×63, which makes it a multiple of 750
48004800 is 75×6475×64, which makes it a multiple of 750
48754875 is 75×6575×65, which makes it a multiple of 750
49504950 is 75×6675×66, which makes it a multiple of 750
50255025 is 75×6775×67, which makes it a multiple of 750
51005100 is 75×6875×68, which makes it a multiple of 750
51755175 is 75×6975×69, which makes it a multiple of 750
52505250 is 75×7075×70, which makes it a multiple of 750
53255325 is 75×7175×71, which makes it a multiple of 750
54005400 is 75×7275×72, which makes it a multiple of 750
54755475 is 75×7375×73, which makes it a multiple of 750
55505550 is 75×7475×74, which makes it a multiple of 750
56255625 is 75×7575×75, which makes it a multiple of 750
57005700 is 75×7675×76, which makes it a multiple of 750
57755775 is 75×7775×77, which makes it a multiple of 750
58505850 is 75×7875×78, which makes it a multiple of 750
59255925 is 75×7975×79, which makes it a multiple of 750
60006000 is 75×8075×80, which makes it a multiple of 750
60756075 is 75×8175×81, which makes it a multiple of 750
61506150 is 75×8275×82, which makes it a multiple of 750
62256225 is 75×8375×83, which makes it a multiple of 750
63006300 is 75×8475×84, which makes it a multiple of 750
63756375 is 75×8575×85, which makes it a multiple of 750
64506450 is 75×8675×86, which makes it a multiple of 750
65256525 is 75×8775×87, which makes it a multiple of 750
66006600 is 75×8875×88, which makes it a multiple of 750
66756675 is 75×8975×89, which makes it a multiple of 750
67506750 is 75×9075×90, which makes it a multiple of 750
68256825 is 75×9175×91, which makes it a multiple of 750
69006900 is 75×9275×92, which makes it a multiple of 750
69756975 is 75×9375×93, which makes it a multiple of 750
70507050 is 75×9475×94, which makes it a multiple of 750
71257125 is 75×9575×95, which makes it a multiple of 750
72007200 is 75×9675×96, which makes it a multiple of 750
72757275 is 75×9775×97, which makes it a multiple of 750
73507350 is 75×9875×98, which makes it a multiple of 750
74257425 is 75×9975×99, which makes it a multiple of 750
75007500 is 75×10075×100, which makes it a multiple of 750

Read More About Multiples of 75

Table of 75

Important Notes

Even Numbers: All multiples of 75 are numbers that end in 00 or 75 (e.g., 75, 150, 225, 300).

Divisibility: A number is a multiple of 75 if it can be divided by 75 with no remainder.

Factors: Multiples of 75 have 75 as one of their factors.

Infinite Sequence: There are infinitely many multiples of 75, extending indefinitely as 75, 150, 225, 300, 375, and so on.

Arithmetic Pattern: The difference between consecutive multiples of 75 is always 75.

Examples on Multiples of 75

Simple Multiples:

  • 75: 75×1=7575×1=75
  • 150: 75×2=15075×2=150
  • 225: 75×3=22575×3=225

Larger Multiples:

  • 750: 75×10=75075×10=750
  • 1500: 75×20=150075×20=1500
  • 2250: 75×30=225075×30=2250

Real-Life Examples

Time: 4500 seconds in 75 minutes is a multiple of 75 because 75×60=450075×60=4500.

Money: $75 is a multiple of 75 because 75×1=7575×1=75.

Measurements: 75 feet is a multiple of 75 because 75×1=7575×1=75.

Practical Examples of Multiples of 75

  1. Time: An hour and 15 minutes equals 75 minutes, which is 75×1=7575×1=75.
  2. Money: A $150 bill can be paid using two $75 bills since 75×2=15075×2=150.
  3. Distance: A 225-mile road trip can be divided into three segments of 75 miles each because 75×3=22575×3=225.
  4. Weight: A shipment weighing 300 pounds can be split into four boxes of 75 pounds each, as 75×4=30075×4=300.
  5. Class Size: If a school has 375 students and they are split into five classes, each class would have 75 students because 75×5=37575×5=375.

Practical Applications

Counting by Seventy-Fives: When counting by seventy-fives (75, 150, 225, 300…), you are listing the multiples of 75.

Multiples of 75: Any number that is a multiple of 75, such as 300 or 375, can be divided evenly by 75.

Is 600 a multiple of 75?

Yes, 600 is a multiple of 75 because 75×8=600

Is 50 a multiple of 75?

No, 50 is not a multiple of 75 because it cannot be divided evenly by 75.

What is the 10th multiple of 75?

The 10th multiple of 75 is 750.

Are multiples of 75 also multiples of 5?

Yes, all multiples of 75 are also multiples of 5.

Is 1125 a multiple of 75?

Yes, 1125 is a multiple of 75 because 75×15=1125

What is the next multiple of 75 after 375?

The next multiple of 75 after 375 is 450.

Can multiples of 75 be negative?

Yes, multiples of 75 can be negative if 𝑛n is negative, such as -75, -150, and -225.

Is 0 a multiple of 75?

Yes, 0 is a multiple of 75 because 75×0=0

What are the multiples of 75 between 300 and 600?

The multiples of 75 between 300 and 600 are 375, 450, and 525.

Is 90 a multiple of 75?

No, 90 is not a multiple of 75 because it cannot be divided evenly by 75.

How do multiples of 75 help in real life?

Multiples of 75 are useful in various applications such as time management, financial calculations, and measurements.

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