Q: What are the factor combinations of the number 172,139,875?

 A:
Positive:   1 x 1721398755 x 3442797517 x 1012587525 x 688559559 x 291762585 x 2025175125 x 1377119295 x 583525425 x 4050351003 x 1716251373 x 1253751475 x 1167052125 x 810075015 x 343256865 x 250757375 x 23341
Negative: -1 x -172139875-5 x -34427975-17 x -10125875-25 x -6885595-59 x -2917625-85 x -2025175-125 x -1377119-295 x -583525-425 x -405035-1003 x -171625-1373 x -125375-1475 x -116705-2125 x -81007-5015 x -34325-6865 x -25075-7375 x -23341


How do I find the factor combinations of the number 172,139,875?

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 172,139,875, 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.

1 172,139,875
-1 -172,139,875

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 172,139,875.

Example:
1 x 172,139,875 = 172,139,875
and
-1 x -172,139,875 = 172,139,875
Notice both answers equal 172,139,875

With that explanation out of the way, let's continue. Next, we take the number 172,139,875 and divide it by 2:

172,139,875 ÷ 2 = 86,069,937.5

If the quotient is a whole number, then 2 and 86,069,937.5 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:

1 172,139,875
-1 -172,139,875

Now, we try dividing 172,139,875 by 3:

172,139,875 ÷ 3 = 57,379,958.3333

If the quotient is a whole number, then 3 and 57,379,958.3333 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:

1 172,139,875
-1 -172,139,875

Let's try dividing by 4:

172,139,875 ÷ 4 = 43,034,968.75

If the quotient is a whole number, then 4 and 43,034,968.75 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:

1 172,139,875
-1 172,139,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15172559851252954251,0031,3731,4752,1255,0156,8657,37523,34125,07534,32581,007116,705125,375171,625405,035583,5251,377,1192,025,1752,917,6256,885,59510,125,87534,427,975172,139,875
-1-5-17-25-59-85-125-295-425-1,003-1,373-1,475-2,125-5,015-6,865-7,375-23,341-25,075-34,325-81,007-116,705-125,375-171,625-405,035-583,525-1,377,119-2,025,175-2,917,625-6,885,595-10,125,875-34,427,975-172,139,875

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