Q: What are the factor combinations of the number 7,172,599?

 A:
Positive:   1 x 71725997 x 102465729 x 24733189 x 80591203 x 35333397 x 18067623 x 115132581 x 2779
Negative: -1 x -7172599-7 x -1024657-29 x -247331-89 x -80591-203 x -35333-397 x -18067-623 x -11513-2581 x -2779


How do I find the factor combinations of the number 7,172,599?

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 7,172,599, 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 7,172,599
-1 -7,172,599

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 7,172,599.

Example:
1 x 7,172,599 = 7,172,599
and
-1 x -7,172,599 = 7,172,599
Notice both answers equal 7,172,599

With that explanation out of the way, let's continue. Next, we take the number 7,172,599 and divide it by 2:

7,172,599 ÷ 2 = 3,586,299.5

If the quotient is a whole number, then 2 and 3,586,299.5 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 7,172,599
-1 -7,172,599

Now, we try dividing 7,172,599 by 3:

7,172,599 ÷ 3 = 2,390,866.3333

If the quotient is a whole number, then 3 and 2,390,866.3333 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 7,172,599
-1 -7,172,599

Let's try dividing by 4:

7,172,599 ÷ 4 = 1,793,149.75

If the quotient is a whole number, then 4 and 1,793,149.75 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 7,172,599
-1 7,172,599
Keep dividing by the next highest number until you cannot divide anymore.

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

1729892033976232,5812,77911,51318,06735,33380,591247,3311,024,6577,172,599
-1-7-29-89-203-397-623-2,581-2,779-11,513-18,067-35,333-80,591-247,331-1,024,657-7,172,599

More Examples

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