We know the fact that there are infinite numbers in the number system, infinite meaning the limit of which is unknown. But do you know that there are infinite numbers between any given two numbers also, and this fact is often ignored considering the vastness of the numbers present. In this article, let us understand what do we mean by factors of a number and what role they play in prime factorization.
The factors of any number are all the numbers which will divide evenly into that number. For example, the factors of the number 12 are 1, 2, 3, 4, and 6. A prime factorization is a list of the prime numbers in order of magnitude (largest to smallest), which can be multiplied together to result in a specific integer. For example, 12 = 2 x 3 x 3 and 24 = 2 x 2 x 2 x 3.
The most common type of numbers which everyone must be familiar with is the whole numbers that start from numeral one, then we also have the real numbers, complex numbers, negative numbers, etc. Visit the Cuemath website to learn more about numbers and to download math worksheets related to numbers.
Prime numbers and composite numbers are the two types of numbers in the family of whole numbers. Composite numbers are those that can be divided by more than two numbers, while prime numbers can only be divided by two numbers, which are the number ‘1’ and the number itself. Since we can express composite numbers like 15 as multiplication of 5 and 3, the numbers 5 and 3 can also be referred to as factors of 15. We get the number by multiplying the factors of the number. However, a prime number like 23 cannot be expressed as a multiplication of any other numbers except 23 and the number ‘1’.
Although composite numbers are becoming more widely used, it is the set of prime numbers that continues to enthrall mathematicians around the world, as the mystery of how to find the next prime number remains unresolved. It is also worth noting that prime numbers are widely used in cryptography. As we’ve shown, composite numbers can be broken down into prime factors that, when multiplied, yield the composite number, leading to the conclusion that all composite numbers are made up of prime numbers and that prime numbers are the building blocks of composite numbers.
Math worksheets can play an important role in helping the students understand the concept of numbers and prime factorization. Math requires consistent practice to reinforce the learnings, and hence math worksheets can help with this. While the principle of factorization is easy, as is the case for any branch of mathematics, it takes practice to grasp it. The technique of calculating and thus solving varying degrees of problems using the worksheet provides the kids with the necessary practice, and the step-by-step guide can assist them in verifying their own answers.
The availability of various kinds of problems in one place and in a particular order in the worksheet assists kids in traveling through the various noteworthy points about the subject and, at the end of it, makes the kid trust in the skill acquired.
As a result, prime factorization worksheets should be planned, bearing in mind that the focus should be on both finding the answer and the overall importance of the exercise. Children should understand why prime factorization is a useful technique and how many different math concepts depend on proper prime factorization to function.