Q: What are the factor combinations of the number 172,440,755?

 A:
Positive:   1 x 1724407555 x 3448815131 x 5562605155 x 1112521293 x 5885351465 x 1177073797 x 454159083 x 18985
Negative: -1 x -172440755-5 x -34488151-31 x -5562605-155 x -1112521-293 x -588535-1465 x -117707-3797 x -45415-9083 x -18985


How do I find the factor combinations of the number 172,440,755?

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 172,440,755, 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.

1 172,440,755
-1 -172,440,755

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 172,440,755.

Example:
1 x 172,440,755 = 172,440,755
and
-1 x -172,440,755 = 172,440,755
Notice both answers equal 172,440,755

With that explanation out of the way, let's continue. Next, we take the number 172,440,755 and divide it by 2:

172,440,755 ÷ 2 = 86,220,377.5

If the quotient is a whole number, then 2 and 86,220,377.5 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:

1 172,440,755
-1 -172,440,755

Now, we try dividing 172,440,755 by 3:

172,440,755 ÷ 3 = 57,480,251.6667

If the quotient is a whole number, then 3 and 57,480,251.6667 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:

1 172,440,755
-1 -172,440,755

Let's try dividing by 4:

172,440,755 ÷ 4 = 43,110,188.75

If the quotient is a whole number, then 4 and 43,110,188.75 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:

1 172,440,755
-1 172,440,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552931,4653,7979,08318,98545,415117,707588,5351,112,5215,562,60534,488,151172,440,755
-1-5-31-155-293-1,465-3,797-9,083-18,985-45,415-117,707-588,535-1,112,521-5,562,605-34,488,151-172,440,755

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