Q: What are the factor combinations of the number 130,213,421?

 A:
Positive:   1 x 13021342113 x 1001641717 x 765961353 x 2456857221 x 589201689 x 188989901 x 14452111117 x 11713
Negative: -1 x -130213421-13 x -10016417-17 x -7659613-53 x -2456857-221 x -589201-689 x -188989-901 x -144521-11117 x -11713


How do I find the factor combinations of the number 130,213,421?

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 130,213,421, 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.

1 130,213,421
-1 -130,213,421

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 130,213,421.

Example:
1 x 130,213,421 = 130,213,421
and
-1 x -130,213,421 = 130,213,421
Notice both answers equal 130,213,421

With that explanation out of the way, let's continue. Next, we take the number 130,213,421 and divide it by 2:

130,213,421 ÷ 2 = 65,106,710.5

If the quotient is a whole number, then 2 and 65,106,710.5 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:

1 130,213,421
-1 -130,213,421

Now, we try dividing 130,213,421 by 3:

130,213,421 ÷ 3 = 43,404,473.6667

If the quotient is a whole number, then 3 and 43,404,473.6667 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:

1 130,213,421
-1 -130,213,421

Let's try dividing by 4:

130,213,421 ÷ 4 = 32,553,355.25

If the quotient is a whole number, then 4 and 32,553,355.25 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:

1 130,213,421
-1 130,213,421
Keep dividing by the next highest number until you cannot divide anymore.

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

113175322168990111,11711,713144,521188,989589,2012,456,8577,659,61310,016,417130,213,421
-1-13-17-53-221-689-901-11,117-11,713-144,521-188,989-589,201-2,456,857-7,659,613-10,016,417-130,213,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 130,213,421:


Ask a Question