Q:

# What are the factors of 48?

A:

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.

## Keep Learning

Finding 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.

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## Related Questions

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The factors of 66 are one, two, three, six, 11, 22, 33 and 66. Factors of a particular number are whole numbers that divide evenly into that number without a remainder. Factors are always less than or equal to the number of which they are factors.

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The prime factors of 60 are 2, 3 and 5. The prime factors for any number can be found by performing a process called prime factorization.

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The factors of 78 are 1, 2, 3, 6, 13, 26, 39 and 78. The factors of a number are found by breaking the number down into all the combinations of positive integers that can be combined through multiplication to form the number. This is called factorization.