Q: What are the factor combinations of the number 436,140,005?

 A:
Positive:   1 x 4361400055 x 872280017 x 6230571535 x 124611432341 x 1863055323 x 8193511705 x 3726116387 x 26615
Negative: -1 x -436140005-5 x -87228001-7 x -62305715-35 x -12461143-2341 x -186305-5323 x -81935-11705 x -37261-16387 x -26615


How do I find the factor combinations of the number 436,140,005?

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 436,140,005, 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.

1 436,140,005
-1 -436,140,005

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 436,140,005.

Example:
1 x 436,140,005 = 436,140,005
and
-1 x -436,140,005 = 436,140,005
Notice both answers equal 436,140,005

With that explanation out of the way, let's continue. Next, we take the number 436,140,005 and divide it by 2:

436,140,005 ÷ 2 = 218,070,002.5

If the quotient is a whole number, then 2 and 218,070,002.5 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:

1 436,140,005
-1 -436,140,005

Now, we try dividing 436,140,005 by 3:

436,140,005 ÷ 3 = 145,380,001.6667

If the quotient is a whole number, then 3 and 145,380,001.6667 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:

1 436,140,005
-1 -436,140,005

Let's try dividing by 4:

436,140,005 ÷ 4 = 109,035,001.25

If the quotient is a whole number, then 4 and 109,035,001.25 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:

1 436,140,005
-1 436,140,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,3415,32311,70516,38726,61537,26181,935186,30512,461,14362,305,71587,228,001436,140,005
-1-5-7-35-2,341-5,323-11,705-16,387-26,615-37,261-81,935-186,305-12,461,143-62,305,715-87,228,001-436,140,005

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