Q: What are the factor combinations of the number 37,484,663?

 A:
Positive:   1 x 3748466319 x 197287737 x 101309971 x 527953703 x 53321751 x 499131349 x 277872627 x 14269
Negative: -1 x -37484663-19 x -1972877-37 x -1013099-71 x -527953-703 x -53321-751 x -49913-1349 x -27787-2627 x -14269


How do I find the factor combinations of the number 37,484,663?

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 37,484,663, 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 37,484,663
-1 -37,484,663

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 37,484,663.

Example:
1 x 37,484,663 = 37,484,663
and
-1 x -37,484,663 = 37,484,663
Notice both answers equal 37,484,663

With that explanation out of the way, let's continue. Next, we take the number 37,484,663 and divide it by 2:

37,484,663 ÷ 2 = 18,742,331.5

If the quotient is a whole number, then 2 and 18,742,331.5 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 37,484,663
-1 -37,484,663

Now, we try dividing 37,484,663 by 3:

37,484,663 ÷ 3 = 12,494,887.6667

If the quotient is a whole number, then 3 and 12,494,887.6667 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 37,484,663
-1 -37,484,663

Let's try dividing by 4:

37,484,663 ÷ 4 = 9,371,165.75

If the quotient is a whole number, then 4 and 9,371,165.75 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 37,484,663
-1 37,484,663
Keep dividing by the next highest number until you cannot divide anymore.

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

11937717037511,3492,62714,26927,78749,91353,321527,9531,013,0991,972,87737,484,663
-1-19-37-71-703-751-1,349-2,627-14,269-27,787-49,913-53,321-527,953-1,013,099-1,972,877-37,484,663

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