Q: What are the factor combinations of the number 29,164,079?

 A:
Positive:   1 x 291640797 x 416629741 x 711319287 x 101617307 x 94997331 x 881092149 x 135712317 x 12587
Negative: -1 x -29164079-7 x -4166297-41 x -711319-287 x -101617-307 x -94997-331 x -88109-2149 x -13571-2317 x -12587


How do I find the factor combinations of the number 29,164,079?

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 29,164,079, 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 29,164,079
-1 -29,164,079

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 29,164,079.

Example:
1 x 29,164,079 = 29,164,079
and
-1 x -29,164,079 = 29,164,079
Notice both answers equal 29,164,079

With that explanation out of the way, let's continue. Next, we take the number 29,164,079 and divide it by 2:

29,164,079 ÷ 2 = 14,582,039.5

If the quotient is a whole number, then 2 and 14,582,039.5 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 29,164,079
-1 -29,164,079

Now, we try dividing 29,164,079 by 3:

29,164,079 ÷ 3 = 9,721,359.6667

If the quotient is a whole number, then 3 and 9,721,359.6667 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 29,164,079
-1 -29,164,079

Let's try dividing by 4:

29,164,079 ÷ 4 = 7,291,019.75

If the quotient is a whole number, then 4 and 7,291,019.75 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 29,164,079
-1 29,164,079
Keep dividing by the next highest number until you cannot divide anymore.

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

17412873073312,1492,31712,58713,57188,10994,997101,617711,3194,166,29729,164,079
-1-7-41-287-307-331-2,149-2,317-12,587-13,571-88,109-94,997-101,617-711,319-4,166,297-29,164,079

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