Q: What are the factor combinations of the number 858,165,125?

 A:
Positive:   1 x 8581651255 x 17163302525 x 34326605125 x 6865321397 x 21616251985 x 4323259925 x 8646517293 x 49625
Negative: -1 x -858165125-5 x -171633025-25 x -34326605-125 x -6865321-397 x -2161625-1985 x -432325-9925 x -86465-17293 x -49625


How do I find the factor combinations of the number 858,165,125?

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 858,165,125, 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.

1 858,165,125
-1 -858,165,125

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 858,165,125.

Example:
1 x 858,165,125 = 858,165,125
and
-1 x -858,165,125 = 858,165,125
Notice both answers equal 858,165,125

With that explanation out of the way, let's continue. Next, we take the number 858,165,125 and divide it by 2:

858,165,125 ÷ 2 = 429,082,562.5

If the quotient is a whole number, then 2 and 429,082,562.5 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:

1 858,165,125
-1 -858,165,125

Now, we try dividing 858,165,125 by 3:

858,165,125 ÷ 3 = 286,055,041.6667

If the quotient is a whole number, then 3 and 286,055,041.6667 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:

1 858,165,125
-1 -858,165,125

Let's try dividing by 4:

858,165,125 ÷ 4 = 214,541,281.25

If the quotient is a whole number, then 4 and 214,541,281.25 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:

1 858,165,125
-1 858,165,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253971,9859,92517,29349,62586,465432,3252,161,6256,865,32134,326,605171,633,025858,165,125
-1-5-25-125-397-1,985-9,925-17,293-49,625-86,465-432,325-2,161,625-6,865,321-34,326,605-171,633,025-858,165,125

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