The factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. The number 48 is divisible by each of the factors without any remainder being left over.
Know MoreFinding the factors of a whole number requires some trial and error in the form of a series of division problems. The first two factors in the factor list are the number itself and the number 1. Even numbers like 48 are divisible by 2, so the next step is to calculate the result of dividing 48 by 2, which adds 2 and 24 to the factor list. Since 48 is divisible by 3 with a whole number quotient of 16, 3 and 16 are factors. The process continues by dividing 48 by 4, 5, 6 and so on.
As one works through increasing numbers, the corresponding quotients decrease. At some point, all of the potential whole numbers between 1 and the number are accounted for. When this happens, the last step is to arrange the factors in increasing order.
It is helpful to look at another example to understand factoring more thoroughly. For the number 28, its factors first include 1 and 28. When dividing 28 by 2, the quotient is 14, which means that 2 and 14 are factors. When dividing 28 by 3, the quotient is not a whole number. Moving on to 4, 28 divided by 4 is 7, so 4 and 7 are among its factors. When dividing 28 by 5, the result is not a whole number. To answer the question, the next step is to arrange the factors in order, which results in 1, 2, 4, 7, 14 and 28.
Learn more about AlgebraThe factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 and 126. The prime factors of 126 are 2, 3 and 7.
Full Answer >The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. A number is considered the factor of another number when it can be evenly divided into that number.
Full Answer >The factors of 27 are one, three, nine and 27. The factors of a particular number are those numbers that divide evenly into it. One and the number itself are always factors of any given number.
Full Answer >The factors of 31 are 31,1,-1, and -31. For any number, x, the factors are the set of numbers that can be multiplied by another number to equal x.
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