Q: What are the factor combinations of the number 375,575,575?

 A:
Positive:   1 x 3755755755 x 7511511525 x 15023023197 x 1906475985 x 3812954925 x 76259
Negative: -1 x -375575575-5 x -75115115-25 x -15023023-197 x -1906475-985 x -381295-4925 x -76259


How do I find the factor combinations of the number 375,575,575?

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 375,575,575, 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.

1 375,575,575
-1 -375,575,575

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 375,575,575.

Example:
1 x 375,575,575 = 375,575,575
and
-1 x -375,575,575 = 375,575,575
Notice both answers equal 375,575,575

With that explanation out of the way, let's continue. Next, we take the number 375,575,575 and divide it by 2:

375,575,575 ÷ 2 = 187,787,787.5

If the quotient is a whole number, then 2 and 187,787,787.5 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:

1 375,575,575
-1 -375,575,575

Now, we try dividing 375,575,575 by 3:

375,575,575 ÷ 3 = 125,191,858.3333

If the quotient is a whole number, then 3 and 125,191,858.3333 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:

1 375,575,575
-1 -375,575,575

Let's try dividing by 4:

375,575,575 ÷ 4 = 93,893,893.75

If the quotient is a whole number, then 4 and 93,893,893.75 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:

1 375,575,575
-1 375,575,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15251979854,92576,259381,2951,906,47515,023,02375,115,115375,575,575
-1-5-25-197-985-4,925-76,259-381,295-1,906,475-15,023,023-75,115,115-375,575,575

More Examples

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