Q: What are the factor combinations of the number 163,201,051?

 A:
Positive:   1 x 16320105113 x 1255392719 x 8589529247 x 660733
Negative: -1 x -163201051-13 x -12553927-19 x -8589529-247 x -660733


How do I find the factor combinations of the number 163,201,051?

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 163,201,051, 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.

1 163,201,051
-1 -163,201,051

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 163,201,051.

Example:
1 x 163,201,051 = 163,201,051
and
-1 x -163,201,051 = 163,201,051
Notice both answers equal 163,201,051

With that explanation out of the way, let's continue. Next, we take the number 163,201,051 and divide it by 2:

163,201,051 ÷ 2 = 81,600,525.5

If the quotient is a whole number, then 2 and 81,600,525.5 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:

1 163,201,051
-1 -163,201,051

Now, we try dividing 163,201,051 by 3:

163,201,051 ÷ 3 = 54,400,350.3333

If the quotient is a whole number, then 3 and 54,400,350.3333 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:

1 163,201,051
-1 -163,201,051

Let's try dividing by 4:

163,201,051 ÷ 4 = 40,800,262.75

If the quotient is a whole number, then 4 and 40,800,262.75 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:

1 163,201,051
-1 163,201,051
Keep dividing by the next highest number until you cannot divide anymore.

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

11319247660,7338,589,52912,553,927163,201,051
-1-13-19-247-660,733-8,589,529-12,553,927-163,201,051

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 163,201,051:


Ask a Question