Q:

What are the factors of 78?

A:

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.

Positive integers are the numbers used when counting. Every positive integer has 1 and itself as factors. This is because 1 times any number gives that number as a result. More factors are found by dividing the number by 2 and then 3, working through the integers in succession. Whenever the answer to the division problem is a positive integer, the two numbers are factors of the original number. For example, when 78 is divided by 6 the answer is 13, so 6 and 13 are factors of 78. On the other hand, 78 divided by 8 equals 9.75. That is not a positive integer, so 8 is not a factor of 78. When working with large numbers, a calculator makes the process go quicker.

The prime factorization of a number is a list of all of its prime factors in multiplication form. Prime numbers have no other factors besides 1 and themselves. The prime factorization of 78 is 2 x 3 x 13. Every positive integer that is not a prime number has one unique prime factorization.

Learn More

Related Questions

  • Q:

    What are the factors of 66?

    A:

    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.

    Full Answer >
    Filed Under:
  • Q:

    What are the factors of 26?

    A:

    The factors of 26 are one, two, 13 and 26. One and the number itself, in this case 26, are always factors. Since 26 is an even number, which means that it ends in zero, two, four, six or eight, it's evenly divisible by two. Two times 13 equals 26.

    Full Answer >
    Filed Under:
  • 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.

    Full Answer >
    Filed Under:
  • Q:

    What are the factors of 17?

    A:

    The two factors of 17 are 1 and 17. Because 17 only has one set of factors, or factor pair, it is a prime number. This means it can only be divided by 1 and itself.

    Full Answer >
    Filed Under:

Explore