Q: What are the factor combinations of the number 183,664,429?

 A:
Positive:   1 x 18366442913 x 1412803331 x 5924659167 x 1099787403 x 4557432171 x 845992729 x 673015177 x 35477
Negative: -1 x -183664429-13 x -14128033-31 x -5924659-167 x -1099787-403 x -455743-2171 x -84599-2729 x -67301-5177 x -35477


How do I find the factor combinations of the number 183,664,429?

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 183,664,429, 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.

1 183,664,429
-1 -183,664,429

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 183,664,429.

Example:
1 x 183,664,429 = 183,664,429
and
-1 x -183,664,429 = 183,664,429
Notice both answers equal 183,664,429

With that explanation out of the way, let's continue. Next, we take the number 183,664,429 and divide it by 2:

183,664,429 ÷ 2 = 91,832,214.5

If the quotient is a whole number, then 2 and 91,832,214.5 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:

1 183,664,429
-1 -183,664,429

Now, we try dividing 183,664,429 by 3:

183,664,429 ÷ 3 = 61,221,476.3333

If the quotient is a whole number, then 3 and 61,221,476.3333 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:

1 183,664,429
-1 -183,664,429

Let's try dividing by 4:

183,664,429 ÷ 4 = 45,916,107.25

If the quotient is a whole number, then 4 and 45,916,107.25 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:

1 183,664,429
-1 183,664,429
Keep dividing by the next highest number until you cannot divide anymore.

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

113311674032,1712,7295,17735,47767,30184,599455,7431,099,7875,924,65914,128,033183,664,429
-1-13-31-167-403-2,171-2,729-5,177-35,477-67,301-84,599-455,743-1,099,787-5,924,659-14,128,033-183,664,429

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