# Q: What are the factor combinations of the number 1,337?

A:

Positive:
1 x 13377 x 191

Negative:
-1 x -1337-7 x -191

A:

Positive:
1 x 13377 x 191

Negative:
-1 x -1337-7 x -191

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 1,337, 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 | 1,337 | |

-1 | -1,337 |

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,337.

Example:

1 x 1,337 = 1,337

and

-1 x -1,337 = 1,337

Notice both answers equal 1,337

With that explanation out of the way, let's continue. Next, we take the number 1,337 and divide it by 2:

1,337 ÷ 2 = 668.5

If the quotient is a whole number, then 2 and 668.5 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 | 1,337 | |

-1 | -1,337 |

Now, we try dividing 1,337 by 3:

1,337 ÷ 3 = 445.6667

If the quotient is a whole number, then 3 and 445.6667 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 | 1,337 | |

-1 | -1,337 |

Let's try dividing by 4:

1,337 ÷ 4 = 334.25

If the quotient is a whole number, then 4 and 334.25 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 | 1,337 | |

-1 | 1,337 |

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 | 7 | 191 | 1,337 |

-1 | -7 | -191 | -1,337 |

Here are some more numbers to try:

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General Questions

Factoring Questions

- What are the factors or divisors of the number 1,337?
- What are the prime factors of the number 1,337?
- What is the total number of factors of the number 1,337?
- What is the total number of prime factors of the number 1,337?
- What is the sum of all factors of the number 1,337 including 1,337?
- What is the sum of all factors of the number 1,337 excluding 1,337?
- What are the factor combinations of the number 1,337?
- What is the prime factorization of the number 1,337?

Calculation Questions

Miscellaneous Questions

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- What is 1,337 in other base number systems?
- How is 1,337 spelled out in other languages or countries?
- How is 1,337 formatted in other languages or countries?
- How is 1,337 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 1,337?