Q: What are the factor combinations of the number 172,426,007?

 A:
Positive:   1 x 17242600713 x 1326353919 x 9075053193 x 893399247 x 6980812509 x 687233617 x 476713667 x 47021
Negative: -1 x -172426007-13 x -13263539-19 x -9075053-193 x -893399-247 x -698081-2509 x -68723-3617 x -47671-3667 x -47021


How do I find the factor combinations of the number 172,426,007?

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 172,426,007, 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.

1 172,426,007
-1 -172,426,007

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 172,426,007.

Example:
1 x 172,426,007 = 172,426,007
and
-1 x -172,426,007 = 172,426,007
Notice both answers equal 172,426,007

With that explanation out of the way, let's continue. Next, we take the number 172,426,007 and divide it by 2:

172,426,007 ÷ 2 = 86,213,003.5

If the quotient is a whole number, then 2 and 86,213,003.5 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:

1 172,426,007
-1 -172,426,007

Now, we try dividing 172,426,007 by 3:

172,426,007 ÷ 3 = 57,475,335.6667

If the quotient is a whole number, then 3 and 57,475,335.6667 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:

1 172,426,007
-1 -172,426,007

Let's try dividing by 4:

172,426,007 ÷ 4 = 43,106,501.75

If the quotient is a whole number, then 4 and 43,106,501.75 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:

1 172,426,007
-1 172,426,007
Keep dividing by the next highest number until you cannot divide anymore.

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

113191932472,5093,6173,66747,02147,67168,723698,081893,3999,075,05313,263,539172,426,007
-1-13-19-193-247-2,509-3,617-3,667-47,021-47,671-68,723-698,081-893,399-9,075,053-13,263,539-172,426,007

More Examples

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