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Chapter 2: Problem 7

List the factors of the given number. $$20$$

Short Answer

Expert verified
The factors of 20 are 1, 2, 4, 5, 10 and 20.

Step by step solution

01

Understand the concept of factors

Factors of a number are those numbers that can divide it without leaving a remainder. If a number could divide 20 completely (i.e., without leaving remainder), then the number is a factor of 20.
02

Identify the factors of 20

To find the factors of 20 we start with number 1. 20 divided by 1 gives a whole number (20), so 1 is a factor of 20. Moving to the next number, 20 divided by 2 also gives a whole number (10), so 2 is also a factor of 20. Continuing this way, we find that 4, 5, 10, and 20 are also factors of 20 as they satisfy the condition of being able to divide 20 completely.
03

List all factors

Listing all the factors found gives: 1, 2, 4, 5, 10, and 20.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Divisibility
Divisibility is a key concept when working with factors. A number is considered divisible by another if, after dividing, you end up with no remainder. In simpler terms, if you can split one number by another perfectly, they're divisible. This is how we determine factors. For example, if we divide 20 by 5, we get 4 without leftovers, which means 5 is a factor of 20.
Understanding divisibility helps you identify which numbers can divide into others smoothly. It is essential for figuring out common factors and simplifying fractions.
  • When dividing, always check for a remainder.
  • Practice by taking different numbers and seeing which ones divide evenly.
  • Remember, a factor divides a number completely, leaving no remainder.
These practices help make math less daunting and more predictable.
Whole Numbers
Whole numbers are simple, often the first numbers you learn. These include all counting numbers starting from zero: 0, 1, 2, 3, and so on, without fractions or decimals. They are essential when discussing divisibility and factors because factors are always whole numbers. For example, when finding the factors of 20, we use whole numbers like 1, 2, 4, 5, and 10.
Whole numbers help simplify understanding as they are straightforward and easy to work with.
  • No fractions or decimals to worry about here.
  • Think of them as building blocks in math.
Using whole numbers ensures clarity and precision in calculations.
Integers
Integers consist of whole numbers and their negatives. This expands the number set to include numbers like -3, -2, -1, 0, 1, 2, 3, and so on. While negative integers aren't factors in traditional factorization of positive numbers, understanding integers broadens mathematical comprehension.
Factors are positive integers or whole numbers that divide a number completely. However, recognizing that integers include negative numbers helps with understanding balance in equations and symmetry along the number line.
  • Remember: factors are typically positive integers.
  • Knowing integers aids in more complex math concepts.
Become comfortable with integers to build a solid foundation for more advanced math topics.

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Most popular questions from this chapter

Convert the fraction to a decimal. Place a bar over repeating digits of a repeating decimal. $$6 \frac{3}{5}$$

For Exercises 172 to \(177,\) insert \(+,-, \times,\) or \(\div\) into the square so that the statement is true. $$0.064 \square 1.6=0.1024$$

Find the force exerted on a falling object that has a mass of 4.25 kg. Use the formula \(F=m a,\) where \(F\) is the force exerted by gravity on a falling object, \(m\) is the mass of the object, and \(a\) is the acceleration due to gravity. The acceleration due to gravity is \(9.80 \mathrm{m} / \mathrm{s}^{2}\) (meters per second squared). The force is measured in newtons.

Divide and round to the nearest hundredth. Then check by estimating the quotient. $$6.398 \div 5.5$$

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