# Q: What are the factor combinations of the number 5?

A:

Positive:
1 x 5

Negative:
-1 x -5

A:

Positive:
1 x 5

Negative:
-1 x -5

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 5, it is easier to work with a table - it's called factoring from the outside in.

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 | 5 | |

-1 | -5 |

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5.

Example:

1 x 5 = 5

and

-1 x -5 = 5

Notice both answers equal 5

With that explanation out of the way, let's continue. Next, we take the number 5 and divide it by 2:

5 ÷ 2 = 2.5

If the quotient is a whole number, then 2 and 2.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 | 5 | |

-1 | -5 |

Now, we try dividing 5 by 3:

5 ÷ 3 = 1.6667

If the quotient is a whole number, then 3 and 1.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 | 5 | |

-1 | -5 |

Let's try dividing by 4:

5 ÷ 4 = 1.25

If the quotient is a whole number, then 4 and 1.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 | 5 | |

-1 | 5 |

Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1 | 5 |

-1 | -5 |

Here are some more numbers to try:

Try the factor calculator
General Questions

- How is the number 5 written in scientific notation?
- What is the absolute value of the number 5?
- What is the negative version of the number 5?
- What is the place value chart for the number 5?
- What is the digital root of the number 5?
- How many digits is in the number 5?
- How is 5 written in roman numerals?

Factoring Questions

- What are the factors or divisors of the number 5?
- What are the prime factors of the number 5?
- What is the total number of factors of the number 5?
- What is the total number of prime factors of the number 5?
- What is the sum of all factors of the number 5 including 5?
- What is the sum of all factors of the number 5 excluding 5?
- What are the factor combinations of the number 5?
- What is the prime factorization of the number 5?

Calculation Questions

Miscellaneous Questions

- How much data will 5 bytes hold in different storage units?
- What is 5 in other base number systems?
- How is 5 spelled out in other languages or countries?
- How is 5 formatted in other languages or countries?
- How is 5 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 5?