Q: What are the factor combinations of the number 84,167,255?

 A:
Positive:   1 x 841672555 x 1683345117 x 495101585 x 990203691 x 1218051433 x 587353455 x 243617165 x 11747
Negative: -1 x -84167255-5 x -16833451-17 x -4951015-85 x -990203-691 x -121805-1433 x -58735-3455 x -24361-7165 x -11747


How do I find the factor combinations of the number 84,167,255?

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 84,167,255, 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 84,167,255
-1 -84,167,255

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 84,167,255.

Example:
1 x 84,167,255 = 84,167,255
and
-1 x -84,167,255 = 84,167,255
Notice both answers equal 84,167,255

With that explanation out of the way, let's continue. Next, we take the number 84,167,255 and divide it by 2:

84,167,255 ÷ 2 = 42,083,627.5

If the quotient is a whole number, then 2 and 42,083,627.5 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 84,167,255
-1 -84,167,255

Now, we try dividing 84,167,255 by 3:

84,167,255 ÷ 3 = 28,055,751.6667

If the quotient is a whole number, then 3 and 28,055,751.6667 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 84,167,255
-1 -84,167,255

Let's try dividing by 4:

84,167,255 ÷ 4 = 21,041,813.75

If the quotient is a whole number, then 4 and 21,041,813.75 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 84,167,255
-1 84,167,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1517856911,4333,4557,16511,74724,36158,735121,805990,2034,951,01516,833,45184,167,255
-1-5-17-85-691-1,433-3,455-7,165-11,747-24,361-58,735-121,805-990,203-4,951,015-16,833,451-84,167,255

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