Q: What are the factor combinations of the number 460,188,055?

 A:
Positive:   1 x 4601880555 x 9203761137 x 12437515185 x 2487503257 x 17906151285 x 3581239509 x 483959679 x 47545
Negative: -1 x -460188055-5 x -92037611-37 x -12437515-185 x -2487503-257 x -1790615-1285 x -358123-9509 x -48395-9679 x -47545


How do I find the factor combinations of the number 460,188,055?

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 460,188,055, 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.

1 460,188,055
-1 -460,188,055

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 460,188,055.

Example:
1 x 460,188,055 = 460,188,055
and
-1 x -460,188,055 = 460,188,055
Notice both answers equal 460,188,055

With that explanation out of the way, let's continue. Next, we take the number 460,188,055 and divide it by 2:

460,188,055 ÷ 2 = 230,094,027.5

If the quotient is a whole number, then 2 and 230,094,027.5 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:

1 460,188,055
-1 -460,188,055

Now, we try dividing 460,188,055 by 3:

460,188,055 ÷ 3 = 153,396,018.3333

If the quotient is a whole number, then 3 and 153,396,018.3333 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:

1 460,188,055
-1 -460,188,055

Let's try dividing by 4:

460,188,055 ÷ 4 = 115,047,013.75

If the quotient is a whole number, then 4 and 115,047,013.75 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:

1 460,188,055
-1 460,188,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852571,2859,5099,67947,54548,395358,1231,790,6152,487,50312,437,51592,037,611460,188,055
-1-5-37-185-257-1,285-9,509-9,679-47,545-48,395-358,123-1,790,615-2,487,503-12,437,515-92,037,611-460,188,055

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