Q: What are the factor combinations of the number 37,720,603?

 A:
Positive:   1 x 3772060317 x 221885989 x 423827107 x 352529233 x 1618911513 x 249311819 x 207373961 x 9523
Negative: -1 x -37720603-17 x -2218859-89 x -423827-107 x -352529-233 x -161891-1513 x -24931-1819 x -20737-3961 x -9523


How do I find the factor combinations of the number 37,720,603?

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 37,720,603, 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 37,720,603
-1 -37,720,603

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 37,720,603.

Example:
1 x 37,720,603 = 37,720,603
and
-1 x -37,720,603 = 37,720,603
Notice both answers equal 37,720,603

With that explanation out of the way, let's continue. Next, we take the number 37,720,603 and divide it by 2:

37,720,603 ÷ 2 = 18,860,301.5

If the quotient is a whole number, then 2 and 18,860,301.5 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 37,720,603
-1 -37,720,603

Now, we try dividing 37,720,603 by 3:

37,720,603 ÷ 3 = 12,573,534.3333

If the quotient is a whole number, then 3 and 12,573,534.3333 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 37,720,603
-1 -37,720,603

Let's try dividing by 4:

37,720,603 ÷ 4 = 9,430,150.75

If the quotient is a whole number, then 4 and 9,430,150.75 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 37,720,603
-1 37,720,603
Keep dividing by the next highest number until you cannot divide anymore.

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

117891072331,5131,8193,9619,52320,73724,931161,891352,529423,8272,218,85937,720,603
-1-17-89-107-233-1,513-1,819-3,961-9,523-20,737-24,931-161,891-352,529-423,827-2,218,859-37,720,603

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