Q: What are the factor combinations of the number 29,900,507?

 A:
Positive:   1 x 299005077 x 427150113 x 230003947 x 63618191 x 328577329 x 90883611 x 489374277 x 6991
Negative: -1 x -29900507-7 x -4271501-13 x -2300039-47 x -636181-91 x -328577-329 x -90883-611 x -48937-4277 x -6991


How do I find the factor combinations of the number 29,900,507?

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 29,900,507, 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 29,900,507
-1 -29,900,507

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 29,900,507.

Example:
1 x 29,900,507 = 29,900,507
and
-1 x -29,900,507 = 29,900,507
Notice both answers equal 29,900,507

With that explanation out of the way, let's continue. Next, we take the number 29,900,507 and divide it by 2:

29,900,507 ÷ 2 = 14,950,253.5

If the quotient is a whole number, then 2 and 14,950,253.5 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 29,900,507
-1 -29,900,507

Now, we try dividing 29,900,507 by 3:

29,900,507 ÷ 3 = 9,966,835.6667

If the quotient is a whole number, then 3 and 9,966,835.6667 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 29,900,507
-1 -29,900,507

Let's try dividing by 4:

29,900,507 ÷ 4 = 7,475,126.75

If the quotient is a whole number, then 4 and 7,475,126.75 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 29,900,507
-1 29,900,507
Keep dividing by the next highest number until you cannot divide anymore.

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

171347913296114,2776,99148,93790,883328,577636,1812,300,0394,271,50129,900,507
-1-7-13-47-91-329-611-4,277-6,991-48,937-90,883-328,577-636,181-2,300,039-4,271,501-29,900,507

More Examples

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