Q: What are the factor combinations of the number 122,552,521?

 A:
Positive:   1 x 1225525217 x 1750750313 x 942711729 x 422594991 x 1346731203 x 603707377 x 3250732639 x 46439
Negative: -1 x -122552521-7 x -17507503-13 x -9427117-29 x -4225949-91 x -1346731-203 x -603707-377 x -325073-2639 x -46439


How do I find the factor combinations of the number 122,552,521?

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 122,552,521, 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.

1 122,552,521
-1 -122,552,521

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 122,552,521.

Example:
1 x 122,552,521 = 122,552,521
and
-1 x -122,552,521 = 122,552,521
Notice both answers equal 122,552,521

With that explanation out of the way, let's continue. Next, we take the number 122,552,521 and divide it by 2:

122,552,521 ÷ 2 = 61,276,260.5

If the quotient is a whole number, then 2 and 61,276,260.5 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:

1 122,552,521
-1 -122,552,521

Now, we try dividing 122,552,521 by 3:

122,552,521 ÷ 3 = 40,850,840.3333

If the quotient is a whole number, then 3 and 40,850,840.3333 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:

1 122,552,521
-1 -122,552,521

Let's try dividing by 4:

122,552,521 ÷ 4 = 30,638,130.25

If the quotient is a whole number, then 4 and 30,638,130.25 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:

1 122,552,521
-1 122,552,521
Keep dividing by the next highest number until you cannot divide anymore.

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

171329912033772,63946,439325,073603,7071,346,7314,225,9499,427,11717,507,503122,552,521
-1-7-13-29-91-203-377-2,639-46,439-325,073-603,707-1,346,731-4,225,949-9,427,117-17,507,503-122,552,521

More Examples

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