Q: What are the factor combinations of the number 48,888,581?

 A:
Positive:   1 x 488885817 x 698408331 x 157705137 x 1321313217 x 225293259 x 1887591147 x 426236089 x 8029
Negative: -1 x -48888581-7 x -6984083-31 x -1577051-37 x -1321313-217 x -225293-259 x -188759-1147 x -42623-6089 x -8029


How do I find the factor combinations of the number 48,888,581?

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 48,888,581, 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 48,888,581
-1 -48,888,581

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 48,888,581.

Example:
1 x 48,888,581 = 48,888,581
and
-1 x -48,888,581 = 48,888,581
Notice both answers equal 48,888,581

With that explanation out of the way, let's continue. Next, we take the number 48,888,581 and divide it by 2:

48,888,581 ÷ 2 = 24,444,290.5

If the quotient is a whole number, then 2 and 24,444,290.5 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 48,888,581
-1 -48,888,581

Now, we try dividing 48,888,581 by 3:

48,888,581 ÷ 3 = 16,296,193.6667

If the quotient is a whole number, then 3 and 16,296,193.6667 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 48,888,581
-1 -48,888,581

Let's try dividing by 4:

48,888,581 ÷ 4 = 12,222,145.25

If the quotient is a whole number, then 4 and 12,222,145.25 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 48,888,581
-1 48,888,581
Keep dividing by the next highest number until you cannot divide anymore.

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

1731372172591,1476,0898,02942,623188,759225,2931,321,3131,577,0516,984,08348,888,581
-1-7-31-37-217-259-1,147-6,089-8,029-42,623-188,759-225,293-1,321,313-1,577,051-6,984,083-48,888,581

More Examples

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