Q: What are the factor combinations of the number 558,035,875?

 A:
Positive:   1 x 5580358755 x 11160717525 x 22321435125 x 44642871907 x 2926252341 x 2383759535 x 5852511705 x 47675
Negative: -1 x -558035875-5 x -111607175-25 x -22321435-125 x -4464287-1907 x -292625-2341 x -238375-9535 x -58525-11705 x -47675


How do I find the factor combinations of the number 558,035,875?

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 558,035,875, 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.

1 558,035,875
-1 -558,035,875

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 558,035,875.

Example:
1 x 558,035,875 = 558,035,875
and
-1 x -558,035,875 = 558,035,875
Notice both answers equal 558,035,875

With that explanation out of the way, let's continue. Next, we take the number 558,035,875 and divide it by 2:

558,035,875 ÷ 2 = 279,017,937.5

If the quotient is a whole number, then 2 and 279,017,937.5 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:

1 558,035,875
-1 -558,035,875

Now, we try dividing 558,035,875 by 3:

558,035,875 ÷ 3 = 186,011,958.3333

If the quotient is a whole number, then 3 and 186,011,958.3333 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:

1 558,035,875
-1 -558,035,875

Let's try dividing by 4:

558,035,875 ÷ 4 = 139,508,968.75

If the quotient is a whole number, then 4 and 139,508,968.75 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:

1 558,035,875
-1 558,035,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,9072,3419,53511,70547,67558,525238,375292,6254,464,28722,321,435111,607,175558,035,875
-1-5-25-125-1,907-2,341-9,535-11,705-47,675-58,525-238,375-292,625-4,464,287-22,321,435-111,607,175-558,035,875

More Examples

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