Multiple of any given number is the product of the number and any other integer. Learning how to find the multiples of a number is one of the essential math skills for every child. Students are introduced to multiples at a young age, starting with simple multiplication and advancing to complicated math topics. The scope of multiples is vastly used and finds its applications throughout our lives in different fields, from simple to complex computations like high-level scientific and mathematical calculations.
The mathematical skill of determining multiples forms the foundation for many other math topics like HCF, LCM, prime factorization of numbers, and representation of mathematical expressions. This makes it imperative for all students to attain the conceptual fluency of this topic.
Useful Tips to Find the Multiples of any Number :
Multiples of any given number are the sequence of numbers with the same difference between them. To find the multiples of any number, add the same number to itself and keep repeating this addition to find its subsequent multiples.
For example, the multiples of 2 are 2, 4, 6, 8, 10, etc. By merely adding two repetitively to the last number, you can easily find the multiples of 2, i.e., 2+2= 4, 4+2= 6, 6+2=8, 8+2=10, and so on.
One of the simplest ways to find the multiple of a number is by skip counting the numbers. To find the multiples of a number, skip the exact number of digits to find the consecutive multiples. For example, to find the multiples of 3, skip the three digits after three and repetitively count the next numbers after that, i.e., 3, 6, 9, 12, etc.
Memorizing multiplication tables can help in finding the multiples of a number. Having computational fluency in multiplication tables enables children to enlist all the multiples of a number quickly. It also forms the foundation for determining multiples of multi-digit numbers and complex operations. For example, a multiplication table of 4 is a simple method to obtain all the multiples of 4.
Multiple of a number is completely divisible by that number without a remainder. To determine if the number is a multiple, check if it can be divided by that number without any remainder.
For example, 10 is a multiple of 2, and as 2×5 = 10, therefore 10 divided by 2 equals 5.
Therefore in the above example, 2 and 5 are also factors of 10, as no remainders are left. But if you compare the above example with dividing 11 by 5, there is a remainder of 1, which means 11 is not a multiple of 5. Here are some divisibility tests to determine multiples:
- If the number at the unit place is even, then the number is a multiple of 2.
- If the digit’s sum is multiple of three, then the number is a multiple of 3.
- If the last two digits of a number are multiples of 4, then the number is a multiple of 4.
- If the number ends with 5 or 0, then it is a multiple of 5.
- If the number is divisible by 2 and 3, then it is a multiple of 6.
- If the sum of digits of a number is divisible by 9, then the number is a multiple of 9.
- If the last digit of a number is zero, the number is a multiple of 10.
Children study the concept of factors and multiples at different times and in different years. As they move to the next class, the level of complexity of the topic increases. Thus, they need to gain an in-depth conceptual understanding of this topic. Cuemath helps kids to understand math logically and enables them to gain conceptual fluency. Sound conceptual knowledge of each topic allows children to develop learning between various math topics, hence forming a strong math foundation.