Q: What are the factor combinations of the number 163,501,207?

 A:
Positive:   1 x 163501207
Negative: -1 x -163501207


How do I find the factor combinations of the number 163,501,207?

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 163,501,207, 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.

1 163,501,207
-1 -163,501,207

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 163,501,207.

Example:
1 x 163,501,207 = 163,501,207
and
-1 x -163,501,207 = 163,501,207
Notice both answers equal 163,501,207

With that explanation out of the way, let's continue. Next, we take the number 163,501,207 and divide it by 2:

163,501,207 ÷ 2 = 81,750,603.5

If the quotient is a whole number, then 2 and 81,750,603.5 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:

1 163,501,207
-1 -163,501,207

Now, we try dividing 163,501,207 by 3:

163,501,207 ÷ 3 = 54,500,402.3333

If the quotient is a whole number, then 3 and 54,500,402.3333 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:

1 163,501,207
-1 -163,501,207

Let's try dividing by 4:

163,501,207 ÷ 4 = 40,875,301.75

If the quotient is a whole number, then 4 and 40,875,301.75 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:

1 163,501,207
-1 163,501,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1163,501,207
-1-163,501,207

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 163,501,207:


Ask a Question