Q: What are the factor combinations of the number 253,552,129?

 A:
Positive:   1 x 253552129
Negative: -1 x -253552129


How do I find the factor combinations of the number 253,552,129?

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 253,552,129, 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.

1 253,552,129
-1 -253,552,129

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 253,552,129.

Example:
1 x 253,552,129 = 253,552,129
and
-1 x -253,552,129 = 253,552,129
Notice both answers equal 253,552,129

With that explanation out of the way, let's continue. Next, we take the number 253,552,129 and divide it by 2:

253,552,129 ÷ 2 = 126,776,064.5

If the quotient is a whole number, then 2 and 126,776,064.5 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:

1 253,552,129
-1 -253,552,129

Now, we try dividing 253,552,129 by 3:

253,552,129 ÷ 3 = 84,517,376.3333

If the quotient is a whole number, then 3 and 84,517,376.3333 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:

1 253,552,129
-1 -253,552,129

Let's try dividing by 4:

253,552,129 ÷ 4 = 63,388,032.25

If the quotient is a whole number, then 4 and 63,388,032.25 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:

1 253,552,129
-1 253,552,129
Keep dividing by the next highest number until you cannot divide anymore.

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

1253,552,129
-1-253,552,129

More Examples

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