Q: What are the factor combinations of the number 163,813,003?

 A:
Positive:   1 x 16381300317 x 963605919 x 8621737289 x 566827323 x 5071615491 x 29833
Negative: -1 x -163813003-17 x -9636059-19 x -8621737-289 x -566827-323 x -507161-5491 x -29833


How do I find the factor combinations of the number 163,813,003?

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 163,813,003, 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.

1 163,813,003
-1 -163,813,003

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 163,813,003.

Example:
1 x 163,813,003 = 163,813,003
and
-1 x -163,813,003 = 163,813,003
Notice both answers equal 163,813,003

With that explanation out of the way, let's continue. Next, we take the number 163,813,003 and divide it by 2:

163,813,003 ÷ 2 = 81,906,501.5

If the quotient is a whole number, then 2 and 81,906,501.5 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:

1 163,813,003
-1 -163,813,003

Now, we try dividing 163,813,003 by 3:

163,813,003 ÷ 3 = 54,604,334.3333

If the quotient is a whole number, then 3 and 54,604,334.3333 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:

1 163,813,003
-1 -163,813,003

Let's try dividing by 4:

163,813,003 ÷ 4 = 40,953,250.75

If the quotient is a whole number, then 4 and 40,953,250.75 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:

1 163,813,003
-1 163,813,003
Keep dividing by the next highest number until you cannot divide anymore.

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

117192893235,49129,833507,161566,8278,621,7379,636,059163,813,003
-1-17-19-289-323-5,491-29,833-507,161-566,827-8,621,737-9,636,059-163,813,003

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 163,813,003:


Ask a Question