What are the Multiples of 87? First 25 Multiples of 87 

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Need to know the multiples of 87? Look no further! We’ve got you covered with a detailed explanation and examples. Get a handle on the multiples of 87 – our guide breaks down the concepts, applications, and interesting facts related to this numeric sequence.

What are the Multiples of 87?

A multiple of a number is any number that can be obtained by multiplying that number by an integer. In the case of 87, its multiples are any number that results from multiplying 87 by whole numbers (positive, negative, or zero).

Here are some examples of multiples of 87:

• Positive multiples: 87, 174, 261, 348, 435, 522, 609, 696, 783, 870, …
• Negative multiples: -87, -174, -261, -348, -435, -522, -609, -696, -783, -870, …
• Zero: 0

There are infinitely many multiples of 87, both positive and negative. You can find more multiples by simply continuing to multiply 87 by any integer in either direction.

What are the Multiples in Math?

In math, a multiple is a number that can be obtained by multiplying another number (called the base number) by an integer (any whole number, including 0 and negative numbers). So, basically, multiples are all the products you get when you keep multiplying the base number by any whole number.

Here are some key points about multiples:

• Examples: For example, 8, 16, 24, 32, and 40 are all multiples of 4, because each of them can be obtained by multiplying 4 by an integer (2, 4, 6, 8, and 10, respectively).
• Infinite set: Any number has an infinite number of multiples. You can just keep multiplying by bigger and bigger whole numbers to find more and more multiples.
• Patterns: Multiples of a number follow a specific pattern. For example, all multiples of 3 end in either 3 or 6.
• Relationship with factors: The numbers that you multiply to get a specific multiple are called its factors. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of them can be multiplied by another factor to get 12.
• Zero is special: Zero is a unique case. It is considered a multiple of every number, even itself, because any number multiplied by zero is still zero.

Understanding multiples is an important foundation for various math concepts, like multiplication, division, and algebra. They also come in handy in real-life situations, like counting objects, measuring distances, or dealing with money.

First 25 Multiples of 87

To find the first 25 multiples of 87, you can multiply 87 by each integer from 1 to 25. Here they are:

1. 87
2. 174
3. 261
4. 348
5. 435
6. 522
7. 609
8. 696
9. 783
10. 870
11. 957
12. 1044
13. 1131
14. 1218
15. 1305
16. 1392
17. 1479
18. 1566
19. 1653
20. 1740
21. 1827
22. 1914
23. 2001
24. 2088
25. 2175

These are the first 25 multiples of 87.

Difference Between the Multiples of 87 and the Factors of 87

There are some fundamental differences between multiples and factors of any number, including 87:

Multiples:

• Defined: Multiples of a number are obtained by multiplying that number by any whole number (integer) (positive, negative, or zero).
• Examples: 174, 261, 348, 435, 522, etc. are all multiples of 87 because they are obtained by multiplying 87 by 2, 3, 4, 5, 6, etc.
• Relationship to 87: All multiples of 87 are larger than 87 (except for 0, which is considered a multiple of any number).
• Infinite: There are infinitely many multiples of any number, including 87.

Factors:

• Defined: Factors of a number are those numbers that divide evenly into that number with a remainder of 0.
• Examples: 1, 3, 29, and 87 are the factors of 87 because they divide into 87 without leaving any remainder.
• Relationship to 87: Factors of 87 can be smaller, equal to, or larger than 87 itself (for example, 1 is smaller, 3 and 29 are smaller, and 87 is equal).
• Finite: A number has a finite number of factors. For example, 87 has 4 factors.

In summary:

• Multiples are obtained by multiplying, while factors are obtained by dividing.
• Multiples are always larger or equal to the original number, while factors can be smaller, equal, or larger.
• Multiples are infinite, while factors are finite.

Therefore, the difference between the multiples and factors of 87 lies in their relationship to 87, the way they are obtained, and their quantity.

How to Find the Multiples of 87?

To find the multiples of 87, you can multiply 87 by consecutive positive integers. Here are the first few multiples of 87:

1. 87×1=87
2. 87×2=174
3. 87×3=261
4. 87×4=348
5. 87×5=435

And so on. You can continue this process by multiplying 87 by larger positive integers to find more multiples. The multiples of 87 are infinite and will continue in this pattern.

Some Solved Examples on the Multiples of 87

To find the multiples of 87, you can simply multiply 87 by integers. Here are some examples:

1. First five multiples of 87:

   • 87×1=87
   • 87×2=174
   • 87×3=261
   • 87×4=348
   • 87×5=435

2. Multiples of 87 up to 10:

   • 87×6=522
   • 87×7=609
   • 87×8=696
   • 87×9=783
   • 87×10=870

3. Some larger multiples of 87:

   • 87×15=1305
   • 87×20=1740
   • 87×25=2175

These are just a few examples, and you can find multiples of 87 by continuing to multiply 87 by other integers. The pattern is that the multiples are obtained by multiplying 87 by consecutive whole numbers.

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Categories: Math