# Q: What are the factor combinations of the number 102?

A:

Positive:
1 x 1022 x 513 x 346 x 17

Negative:
-1 x -102-2 x -51-3 x -34-6 x -17

A:

Positive:
1 x 1022 x 513 x 346 x 17

Negative:
-1 x -102-2 x -51-3 x -34-6 x -17

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 102, 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 | 102 | |

-1 | -102 |

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102.

Example:

1 x 102 = 102

and

-1 x -102 = 102

Notice both answers equal 102

With that explanation out of the way, let's continue. Next, we take the number 102 and divide it by 2:

102 ÷ 2 = 51

If the quotient is a whole number, then 2 and 51 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 | 2 | 51 | 102 | |

-1 | -2 | -51 | -102 |

Now, we try dividing 102 by 3:

102 ÷ 3 = 34

If the quotient is a whole number, then 3 and 34 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 | 2 | 3 | 34 | 51 | 102 | |

-1 | -2 | -3 | -34 | -51 | -102 |

Let's try dividing by 4:

102 ÷ 4 = 25.5

If the quotient is a whole number, then 4 and 25.5 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 | 2 | 3 | 34 | 51 | 102 | |

-1 | -2 | -3 | -34 | -51 | 102 |

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 | 2 | 3 | 6 | 17 | 34 | 51 | 102 |

-1 | -2 | -3 | -6 | -17 | -34 | -51 | -102 |

Here are some more numbers to try:

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General Questions

- How is the number 102 written in scientific notation?
- What is the absolute value of the number 102?
- What is the negative version of the number 102?
- What is the place value chart for the number 102?
- What is the digital root of the number 102?
- How many digits is in the number 102?
- How is 102 written in roman numerals?

Factoring Questions

- What are the factors or divisors of the number 102?
- What are the prime factors of the number 102?
- What is the total number of factors of the number 102?
- What is the total number of prime factors of the number 102?
- What is the sum of all factors of the number 102 including 102?
- What is the sum of all factors of the number 102 excluding 102?
- What are the factor combinations of the number 102?
- What is the prime factorization of the number 102?

Calculation Questions

Miscellaneous Questions

- How much data will 102 bytes hold in different storage units?
- What is 102 in other base number systems?
- How is 102 spelled out in other languages or countries?
- How is 102 formatted in other languages or countries?
- How is 102 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 102?