Q: What are the factor combinations of the number 85,059,359?

 A:
Positive:   1 x 850593597 x 1215133711 x 773266923 x 369823377 x 1104667161 x 528319253 x 3362031771 x 48029
Negative: -1 x -85059359-7 x -12151337-11 x -7732669-23 x -3698233-77 x -1104667-161 x -528319-253 x -336203-1771 x -48029


How do I find the factor combinations of the number 85,059,359?

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 85,059,359, 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 85,059,359
-1 -85,059,359

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 85,059,359.

Example:
1 x 85,059,359 = 85,059,359
and
-1 x -85,059,359 = 85,059,359
Notice both answers equal 85,059,359

With that explanation out of the way, let's continue. Next, we take the number 85,059,359 and divide it by 2:

85,059,359 ÷ 2 = 42,529,679.5

If the quotient is a whole number, then 2 and 42,529,679.5 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 85,059,359
-1 -85,059,359

Now, we try dividing 85,059,359 by 3:

85,059,359 ÷ 3 = 28,353,119.6667

If the quotient is a whole number, then 3 and 28,353,119.6667 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 85,059,359
-1 -85,059,359

Let's try dividing by 4:

85,059,359 ÷ 4 = 21,264,839.75

If the quotient is a whole number, then 4 and 21,264,839.75 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 85,059,359
-1 85,059,359
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,77148,029336,203528,3191,104,6673,698,2337,732,66912,151,33785,059,359
-1-7-11-23-77-161-253-1,771-48,029-336,203-528,319-1,104,667-3,698,233-7,732,669-12,151,337-85,059,359

More Examples

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