124 LearnersLast updated on May 26th, 2025
Multiples of 125
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 125.
What are the Multiples of 125?
Now, let us learn more about multiples of 125. Multiples of 125 are the numbers you get when you multiply 125 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 125 can be denoted as 125 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 125 × 1 will give us 125 as the product. Multiples of 125 will be larger or equal to 125.
Multiples of 125 include the products of 125 and an integer. Multiples of 125 are divisible by 125 evenly. The first few multiples of 125 are given below:
| TABLE OF 124 (1-10) | |
|---|---|
|
124 x 1 = 124 |
124 x 6 = 744 |
|
124 x 2 = 248 |
124 x 7 = 868 |
|
124 x 3 = 372 |
124 x 8 = 992 |
|
124 x 4 = 496 |
124 x 9 = 1116 |
|
124 x 5 = 620 |
124 x 10 = 1240 |
| TABLE OF 124 (11-20) | |
|---|---|
|
124 x 11 = 1364 |
124 x 16 = 1984 |
|
124 x 12 = 1488 |
124 x 17 = 2108 |
|
124 x 13 = 1612 |
124 x 18 = 2232 |
|
124 x 14 = 1736 |
124 x 19 = 2356 |
|
124 x 15 = 1860 |
124 x 20 = 2480 |
Now, we know the first few multiples of 125. They are 0, 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250,...
Operations with Multiples of 126
Understanding the multiples of 125 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 125, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 125:
125, 250, 375, 500, and 625 are the first five multiples of 125. When multiplying 125 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
125 + 250 + 375 + 500 + 625 = 1875
When we add the first 5 multiples of 125, the answer will be 1875.
Subtraction of First 5 Multiples of 125:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 125, 250, 375, 500, and 625 are the first five multiples of 125. So, let us calculate it as given below:
125 - 250 = -125
-125 - 375 = -500
-500 - 500 = -1000
-1000 - 625 = -1625
Hence, the result of subtracting the first 5 multiples of 125 is -1625.
Average of First 5 Multiples of 125:
To calculate the average, we need to identify the sum of the first 5 multiples of 125, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 125 is 1875.
125 + 250 + 375 + 500 + 625 = 1875
Next, divide the sum by 5:
1875 ÷ 5 = 375
375 is the average of the first 5 multiples of 125.
Product of First 5 Multiples of 125:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 125 include: 125, 250, 375, 500, and 625. Now, the product of these numbers is:
125 × 250 × 375 × 500 × 625 = 29,296,875,000,000
The product of the first 5 multiples of 125 is 29,296,875,000,000.
Division of First 5 Multiples of 125:
While we perform division, we get to know how many times 125 can fit into each of the given multiples. 125, 250, 375, 500, and 625 are the first 5 multiples of 125.
125 ÷ 125 = 1
250 ÷ 125 = 2
375 ÷ 125 = 3
500 ÷ 125 = 4
625 ÷ 125 = 5
The results of dividing the first 5 multiples of 125 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 126
While working with multiples of 125, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 125. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 125 refer to the products we get while multiplying 125 with other numbers. For example, multiples of 125 include 0, 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, etc.
The factors of 125 are 1, 5, 25, and 125. When 125 is divided by 1, 5, 25, and 125, the remainder will be zero. These are the factors of 125 meaning that these numbers can divide 125 without any remainder.
Factors of 125:
125 ÷ 1 = 125
125 ÷ 5 = 25
125 ÷ 25 = 5
125 ÷ 125 = 1
Multiples of 126 Examples
Problem 1
Anna is preparing gift baskets for a charity event. She decides that each basket will contain 125 items, and each month she plans to prepare 2 more baskets than the previous month, starting with 1 basket in the first month. How many total items will she have prepared by the end of 4 months?
1,250 items
Explanation
Month 1: 1 basket × 125 items = 125 items
Month 2: 3 baskets × 125 items = 375 items
Month 3: 5 baskets × 125 items = 625 items
Month 4: 7 baskets × 125 items = 875 items
Total items prepared: 125 + 375 + 625 + 875 = 2,000
Anna will have prepared 2,000 items by the end of 4 months
Problem 2
In a warehouse, pallets of goods are being stored. Each pallet can hold exactly 125 boxes. If a shipment comes in with 3 pallets, how many boxes are in the shipment?
375 boxes
Explanation
To find the total number of boxes, multiply the number of pallets by the number of boxes per pallet.
Number of pallets = 3
Number of boxes per pallet = 125
3 × 125 = 375
Thus, the shipment contains 375 boxes.
Problem 3
Lucas is organizing a marathon where each runner receives a participation medal. If each box contains 125 medals and he needs to prepare 500 medals, how many full boxes does he need?
4 boxes
Explanation
To find the number of full boxes needed, divide the total number of medals by the number of medals per box.
Total medals needed = 500
Number of medals per box = 125
500 ÷ 125 = 4
Lucas needs 4 full boxes to have enough medals.
Problem 4
A local farmer's market sells eggs in crates, with each crate holding 125 eggs. If a customer buys 4 crates, how many eggs do they purchase in total?
500 eggs
Explanation
Multiply the number of crates by the number of eggs per crate to find the total number of eggs purchased.
Number of crates = 4
Number of eggs per crate = 125
4 × 125 = 500
The customer purchases 500 eggs in total.
Problem 5
Emily is baking cookies for a school event. She bakes in batches of 125 cookies. If she needs to bake 625 cookies, how many batches does she have to complete?
5 batches
Explanation
Divide the total number of cookies needed by the number of cookies in each batch to find the number of batches.
Total cookies needed = 625
Cookies per batch = 125
625 ÷ 125 = 5
Emily needs to complete 5 batches to bake 625 cookies.
FAQs on Multiples of 125
1.How do you find the multiples of 125?
2.What is the LCM of 125 and 5?
3.What are the real-life applications of Multiples of 125?
4.Are multiples of 125 finite or infinite?
5.Is there any odd multiple of 125?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 125?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 125 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 125?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 125 among early learners in Vietnam?
Important Glossaries for Multiples of 125
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 125 include 125, 250, 375, 500, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 125 are the numbers that consist of the number pattern of 125.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 25, and 125 are the divisors of 125.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 125 and 5 is 125.
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