## Factoring & Multiples Worksheets

What are the Factors? Numbers that we multiply to get another name are known as factors of the answered number. Let's say that if you increase 2 and 3, the answer is 6, i.e., 2 and 3 are the factor of 6. However, factors are a concept that can be used in various other mathematical topics. Given that it is extensively part of algebra where one expression is divided by the other to find the factors. Nonetheless, it is first necessary to learn the basics of factors before moving on to the advanced level. Let us take a few examples. Find out the factors of 12. 12 can be obtained from multiplying 2 and 6, 3 and 4 and 12 and 1. So the factors of 12 are 1, 2, 3, 4, 6, 12. Another number is 10. 10 can be obtained by multiplying 2 and 5 and by 10 and 1. Therefore, the factors of 10 are 1, 2, 5, 10. This is a huge skill to have and the fundamental skill in algebra. I find that there is a very underwhelming presence of this topic in the Common Core Curriculum. I think it is often over looked, but the root of most algebra based work is based on roots of factors and multiples.

- Dilations and Scale Factors - This topic is applied to geometric shapes.
- Factor Pairs to 100 - We look at pairs of numbers that when multiplied give us the same product.
- Factors of an Integer - Many students think this is a brain storming activity, but it is far from it.
- Factoring by Grouping - We explore your more intermediate levels of skills.
- Greatest Common Factor and Least Common Multiple - This is starts with determine the prime factors between the values and seeing what they have in common.
- Missing Factors Multiplication - A great way to transition into Algebra.
- Prime and Composite Numbers - This is all determined by factors that exist within the values.
- Prime Factorization and Factor Trees - This comes down to breaking things down into smaller parts.
- Solve One-Variable Equations and Inequalities - Factors play a huge role in this section.
- Solving Linear Equations and Inequalities in One Variable - These can be used to work on higher level problems that you may encounter.
- Solving Quadratic Equations By Factoring - Start by checking for common factors. Then rewrite the problems with those factors in mind. From there it is usually simple operations and combining like terms.
- Using Division to Find Unknown Factors - We reverse the operations to find where the values will go.