Q: What are the factor combinations of the number 20,371,637?

 A:
Positive:   1 x 2037163711 x 185196713 x 156704943 x 473759143 x 142459473 x 43069559 x 364433313 x 6149
Negative: -1 x -20371637-11 x -1851967-13 x -1567049-43 x -473759-143 x -142459-473 x -43069-559 x -36443-3313 x -6149


How do I find the factor combinations of the number 20,371,637?

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 20,371,637, 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 20,371,637
-1 -20,371,637

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 20,371,637.

Example:
1 x 20,371,637 = 20,371,637
and
-1 x -20,371,637 = 20,371,637
Notice both answers equal 20,371,637

With that explanation out of the way, let's continue. Next, we take the number 20,371,637 and divide it by 2:

20,371,637 ÷ 2 = 10,185,818.5

If the quotient is a whole number, then 2 and 10,185,818.5 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 20,371,637
-1 -20,371,637

Now, we try dividing 20,371,637 by 3:

20,371,637 ÷ 3 = 6,790,545.6667

If the quotient is a whole number, then 3 and 6,790,545.6667 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 20,371,637
-1 -20,371,637

Let's try dividing by 4:

20,371,637 ÷ 4 = 5,092,909.25

If the quotient is a whole number, then 4 and 5,092,909.25 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 20,371,637
-1 20,371,637
Keep dividing by the next highest number until you cannot divide anymore.

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

11113431434735593,3136,14936,44343,069142,459473,7591,567,0491,851,96720,371,637
-1-11-13-43-143-473-559-3,313-6,149-36,443-43,069-142,459-473,759-1,567,049-1,851,967-20,371,637

More Examples

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