Q: What are the factor combinations of the number 442,200,115?

 A:
Positive:   1 x 4422001155 x 884400237 x 6317144535 x 12634289103 x 4293205515 x 858641721 x 6133153605 x 122663
Negative: -1 x -442200115-5 x -88440023-7 x -63171445-35 x -12634289-103 x -4293205-515 x -858641-721 x -613315-3605 x -122663


How do I find the factor combinations of the number 442,200,115?

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 442,200,115, 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.

1 442,200,115
-1 -442,200,115

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 442,200,115.

Example:
1 x 442,200,115 = 442,200,115
and
-1 x -442,200,115 = 442,200,115
Notice both answers equal 442,200,115

With that explanation out of the way, let's continue. Next, we take the number 442,200,115 and divide it by 2:

442,200,115 ÷ 2 = 221,100,057.5

If the quotient is a whole number, then 2 and 221,100,057.5 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:

1 442,200,115
-1 -442,200,115

Now, we try dividing 442,200,115 by 3:

442,200,115 ÷ 3 = 147,400,038.3333

If the quotient is a whole number, then 3 and 147,400,038.3333 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:

1 442,200,115
-1 -442,200,115

Let's try dividing by 4:

442,200,115 ÷ 4 = 110,550,028.75

If the quotient is a whole number, then 4 and 110,550,028.75 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:

1 442,200,115
-1 442,200,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,605122,663613,315858,6414,293,20512,634,28963,171,44588,440,023442,200,115
-1-5-7-35-103-515-721-3,605-122,663-613,315-858,641-4,293,205-12,634,289-63,171,445-88,440,023-442,200,115

More Examples

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