Q: What are the factor combinations of the number 170,835,125?

 A:
Positive:   1 x 1708351255 x 3416702517 x 1004912525 x 683340585 x 2009825125 x 1366681289 x 591125425 x 4019651445 x 1182252125 x 803934729 x 361257225 x 23645
Negative: -1 x -170835125-5 x -34167025-17 x -10049125-25 x -6833405-85 x -2009825-125 x -1366681-289 x -591125-425 x -401965-1445 x -118225-2125 x -80393-4729 x -36125-7225 x -23645


How do I find the factor combinations of the number 170,835,125?

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 170,835,125, 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.

1 170,835,125
-1 -170,835,125

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 170,835,125.

Example:
1 x 170,835,125 = 170,835,125
and
-1 x -170,835,125 = 170,835,125
Notice both answers equal 170,835,125

With that explanation out of the way, let's continue. Next, we take the number 170,835,125 and divide it by 2:

170,835,125 ÷ 2 = 85,417,562.5

If the quotient is a whole number, then 2 and 85,417,562.5 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:

1 170,835,125
-1 -170,835,125

Now, we try dividing 170,835,125 by 3:

170,835,125 ÷ 3 = 56,945,041.6667

If the quotient is a whole number, then 3 and 56,945,041.6667 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:

1 170,835,125
-1 -170,835,125

Let's try dividing by 4:

170,835,125 ÷ 4 = 42,708,781.25

If the quotient is a whole number, then 4 and 42,708,781.25 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:

1 170,835,125
-1 170,835,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851252894251,4452,1254,7297,22523,64536,12580,393118,225401,965591,1251,366,6812,009,8256,833,40510,049,12534,167,025170,835,125
-1-5-17-25-85-125-289-425-1,445-2,125-4,729-7,225-23,645-36,125-80,393-118,225-401,965-591,125-1,366,681-2,009,825-6,833,405-10,049,125-34,167,025-170,835,125

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