The positive factors, as well as various multiples of 6, are as follows: Multiples: Because 0 x 6 = 0, 0 is a multiple of 6. Factors: There are no factors of 0.
Positive factors and multiples of 6 are as follows: 1 x 6 = 6, hence 1 and 6 are factors of 6. 2 x 6 = 12, 3 x 6 = 18, 4 x 6 = 24, 5 x 6 = 30, and 7 x 6 = 42.
Factors are numbers that may be multiplied together to get another number (e.g., 1, 2, 3, and 6 are factors of 6). Multiples are the results of multiplying a number by an integer (e.g., 20 is a multiple of 4). Factors and multiples help determine what number should go in a box when packing boxes. You need to know these numbers because the truck driver will not pack your box if you don't tell him or her the factor or multiple for that box.
There are two types of factors: relative and absolute. Relative factors compare two other numbers to find the proper place for them on the box. If there are two places on the box where someone could put a number, such as one spot for each child in a family, then the relative factor for those spots would be half of one thing plus half of another thing equals one thing. For example, if four people were going to pack their own boxes, then the relative factor for each person's spot on the box would be half of four or two. The truck driver would not pack all four people's boxes if they did not tell him or her this information; instead, they would have to share one box.
Absolute factors do not compare anything else to find their place on the box. If there is only one way to place something on the box, then it is an absolute factor.
Number six has four factors: one, two, three, and six itself. Numbers may be easily factored into a natural number set. Because all numbers have at least two components (one and itself). Factoring is the process of reducing a number to its prime factorization. All numbers can be factored into primes.
Factors are elements of a number system that when multiplied together produce the number they are multiplying. For example, 30 = 2 x 15 and 9 = 3 x 3. Multiplying these numbers together produces 30 * 9 = 270. Thus, 270 is a factor of 30.
There are several ways to factor numbers. One method is to use trial and error. This method works for small numbers but becomes difficult as the number gets larger. There are also computer programs that will factor numbers for you. These programs work by trying different combinations of factors until they find one that multiplies together to yield the number they are factoring.
It is easy to multiply two numbers that have the same factor; for example, if there are multiple pairs of twins in your class then each pair of twins times another pair of twins will give you multiple sets of twins. However, if you multiply two numbers that don't share any factors this product will always be unique.
ACT Math Fundamentals A factor, also known as a divisor, is a positive integer that divides a number evenly. For example, 4 is a factor of 12 since 12/4 is an integer, and 3 is a factor of 12. A multiple is a number that may be divided equally by another integer. Six, for example, is a multiple of three. The number ten is a multiple of five. And 60 is a multiple of 2 and 5.
There are two types of factors: primary and secondary. A primary factor is used to divide numbers that can be divided only once without any remainder. For example, the fact that 24 can be divided by 6 shows that 24 is a primary factor of 72. Secondary factors are used to divide numbers that can be divided more than once with remaining digits. For example, the fact that 48 can be divided by 6 and 3 shows that 48 is divided into two equal parts, one of which is twice as big as the other. Factors are important in division because they tell you how many times you can divide the number you're working with by some other number before you get back to something non-zero. If you know your factors, you can divide by them to find these divisions.
For example, let's say you want to divide 100 by 7. You could simply divide the whole thing out and get 14, but that's not what we need here. Instead, we'll use the rule that says if you can divide a number by 7 and still have a whole number, then it's a good choice for the divisor.