Q: What are the factor combinations of the number 18,708,407?

 A:
Positive:   1 x 1870840719 x 98465323 x 81340931 x 603497437 x 42811589 x 31763713 x 262391381 x 13547
Negative: -1 x -18708407-19 x -984653-23 x -813409-31 x -603497-437 x -42811-589 x -31763-713 x -26239-1381 x -13547


How do I find the factor combinations of the number 18,708,407?

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 18,708,407, 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 18,708,407
-1 -18,708,407

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 18,708,407.

Example:
1 x 18,708,407 = 18,708,407
and
-1 x -18,708,407 = 18,708,407
Notice both answers equal 18,708,407

With that explanation out of the way, let's continue. Next, we take the number 18,708,407 and divide it by 2:

18,708,407 ÷ 2 = 9,354,203.5

If the quotient is a whole number, then 2 and 9,354,203.5 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 18,708,407
-1 -18,708,407

Now, we try dividing 18,708,407 by 3:

18,708,407 ÷ 3 = 6,236,135.6667

If the quotient is a whole number, then 3 and 6,236,135.6667 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 18,708,407
-1 -18,708,407

Let's try dividing by 4:

18,708,407 ÷ 4 = 4,677,101.75

If the quotient is a whole number, then 4 and 4,677,101.75 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 18,708,407
-1 18,708,407
Keep dividing by the next highest number until you cannot divide anymore.

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

11923314375897131,38113,54726,23931,76342,811603,497813,409984,65318,708,407
-1-19-23-31-437-589-713-1,381-13,547-26,239-31,763-42,811-603,497-813,409-984,653-18,708,407

More Examples

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