Table of Contents
What are Factors and Multiples?
A factor is a number that divides evenly into another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Multiples are numbers that are obtained by multiplying a number by a whole number. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, and 60.
Factors Definition
There are a number of factors that can affect the price of a product. Some of these factors are:
- Cost of production: The cost of producing a product can affect its price. If the cost of producing a product is high, the price of the product will be high as well.
- Competition: The amount of competition a product faces can also affect its price. If there is a lot of competition for a product, the price may be lower in order to attract buyers.
- Demand: The amount of demand for a product can also affect its price. If there is a lot of demand for a product, the price may be higher in order to meet the demand.
- Availability: The availability of a product can also affect its price. If a product is in high demand, the price may be higher to meet the demand.
What is Multiple?
Multiple is a term used in mathematics to describe a quantity that is greater than one. For example, three is a multiple of two because three can be divided by two without a remainder. Six is also a multiple of two because six can be divided by two twice, with a remainder of zero each time.
Difference Between Factors and Multiples
A factor is a number that is multiplied by another to produce a result. A multiple is the result of multiplying two numbers together. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. The multiple of 2 is 4. The factors of 4 are 1 and 4. The multiple of 1 is 1.
How to find Factors of a Number?
There are a few different ways to find the factors of a number. One way is to use a factor tree. Another way is to use a factor list.
How to Find Multiples of a Number?
To find multiples of a number, you can use a variety of methods. One method is to use a number line. Another method is to use a multiplication table.
What does the Least Common Multiple Mean?
The least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Methods to find LCM of Two Numbers
To find the LCM of two numbers, use the following steps:
- Step 1: List the prime factors of each number.
- The 2nd Step: Write the prime factors of each number in ascending order.
- Step 3: Multiply the factors in ascending order.
- Step 4: The LCM is the product of the numbers in Step 3.
Properties of Factors and Multiples
- A multiple is a number that is a multiple of another number. A factor is a number that is a factor of another number.
- Some factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
- Some multiples of 36 are 36, 72, 108, 144, and 216.
Applications of Factors and Multiples
There are a variety of real world applications for factors and multiples. One example is in the stock market. Stock prices are often quoted as a multiple of the earnings per share. For example, if a company has earnings of $1 per share and the stock is selling for $10 per share, then the company is said to have a price-to-earnings ratio of 10. This means that the investor is paying 10 times the company’s earnings per share. Another example is in the real estate market. When appraising a property, the appraiser will often use the square footage of the property as a multiplier. So if a property is 1,000 square feet, the appraiser might multiply that by $10 per square foot to come up with a value for the property.
