Q: What are the factor combinations of the number 131,231,345?

 A:
Positive:   1 x 1312313455 x 262462697 x 1874733535 x 3749467283 x 4637151415 x 927431981 x 662459905 x 13249
Negative: -1 x -131231345-5 x -26246269-7 x -18747335-35 x -3749467-283 x -463715-1415 x -92743-1981 x -66245-9905 x -13249


How do I find the factor combinations of the number 131,231,345?

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 131,231,345, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 131,231,345
-1 -131,231,345

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,231,345.

Example:
1 x 131,231,345 = 131,231,345
and
-1 x -131,231,345 = 131,231,345
Notice both answers equal 131,231,345

With that explanation out of the way, let's continue. Next, we take the number 131,231,345 and divide it by 2:

131,231,345 ÷ 2 = 65,615,672.5

If the quotient is a whole number, then 2 and 65,615,672.5 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:

1 131,231,345
-1 -131,231,345

Now, we try dividing 131,231,345 by 3:

131,231,345 ÷ 3 = 43,743,781.6667

If the quotient is a whole number, then 3 and 43,743,781.6667 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:

1 131,231,345
-1 -131,231,345

Let's try dividing by 4:

131,231,345 ÷ 4 = 32,807,836.25

If the quotient is a whole number, then 4 and 32,807,836.25 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:

1 131,231,345
-1 131,231,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157352831,4151,9819,90513,24966,24592,743463,7153,749,46718,747,33526,246,269131,231,345
-1-5-7-35-283-1,415-1,981-9,905-13,249-66,245-92,743-463,715-3,749,467-18,747,335-26,246,269-131,231,345

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