Q: What are the factor combinations of the number 44,432,713?

 A:
Positive:   1 x 4443271313 x 341790117 x 2613689107 x 415259221 x 2010531391 x 319431819 x 244271879 x 23647
Negative: -1 x -44432713-13 x -3417901-17 x -2613689-107 x -415259-221 x -201053-1391 x -31943-1819 x -24427-1879 x -23647


How do I find the factor combinations of the number 44,432,713?

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 44,432,713, 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 44,432,713
-1 -44,432,713

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 44,432,713.

Example:
1 x 44,432,713 = 44,432,713
and
-1 x -44,432,713 = 44,432,713
Notice both answers equal 44,432,713

With that explanation out of the way, let's continue. Next, we take the number 44,432,713 and divide it by 2:

44,432,713 ÷ 2 = 22,216,356.5

If the quotient is a whole number, then 2 and 22,216,356.5 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 44,432,713
-1 -44,432,713

Now, we try dividing 44,432,713 by 3:

44,432,713 ÷ 3 = 14,810,904.3333

If the quotient is a whole number, then 3 and 14,810,904.3333 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 44,432,713
-1 -44,432,713

Let's try dividing by 4:

44,432,713 ÷ 4 = 11,108,178.25

If the quotient is a whole number, then 4 and 11,108,178.25 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 44,432,713
-1 44,432,713
Keep dividing by the next highest number until you cannot divide anymore.

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

113171072211,3911,8191,87923,64724,42731,943201,053415,2592,613,6893,417,90144,432,713
-1-13-17-107-221-1,391-1,819-1,879-23,647-24,427-31,943-201,053-415,259-2,613,689-3,417,901-44,432,713

More Examples

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