Q: What are the factor combinations of the number 172,702,565?

 A:
Positive:   1 x 1727025655 x 345405137 x 2467179535 x 49343591187 x 1454954157 x 415455935 x 290998309 x 20785
Negative: -1 x -172702565-5 x -34540513-7 x -24671795-35 x -4934359-1187 x -145495-4157 x -41545-5935 x -29099-8309 x -20785


How do I find the factor combinations of the number 172,702,565?

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 172,702,565, 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.

1 172,702,565
-1 -172,702,565

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 172,702,565.

Example:
1 x 172,702,565 = 172,702,565
and
-1 x -172,702,565 = 172,702,565
Notice both answers equal 172,702,565

With that explanation out of the way, let's continue. Next, we take the number 172,702,565 and divide it by 2:

172,702,565 ÷ 2 = 86,351,282.5

If the quotient is a whole number, then 2 and 86,351,282.5 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:

1 172,702,565
-1 -172,702,565

Now, we try dividing 172,702,565 by 3:

172,702,565 ÷ 3 = 57,567,521.6667

If the quotient is a whole number, then 3 and 57,567,521.6667 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:

1 172,702,565
-1 -172,702,565

Let's try dividing by 4:

172,702,565 ÷ 4 = 43,175,641.25

If the quotient is a whole number, then 4 and 43,175,641.25 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:

1 172,702,565
-1 172,702,565
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,1874,1575,9358,30920,78529,09941,545145,4954,934,35924,671,79534,540,513172,702,565
-1-5-7-35-1,187-4,157-5,935-8,309-20,785-29,099-41,545-145,495-4,934,359-24,671,795-34,540,513-172,702,565

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