Q: What are the factor combinations of the number 164,128,535?

 A:
Positive:   1 x 1641285355 x 3282570741 x 4003135101 x 1625035205 x 800627505 x 3250074141 x 396357927 x 20705
Negative: -1 x -164128535-5 x -32825707-41 x -4003135-101 x -1625035-205 x -800627-505 x -325007-4141 x -39635-7927 x -20705


How do I find the factor combinations of the number 164,128,535?

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 164,128,535, 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.

1 164,128,535
-1 -164,128,535

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 164,128,535.

Example:
1 x 164,128,535 = 164,128,535
and
-1 x -164,128,535 = 164,128,535
Notice both answers equal 164,128,535

With that explanation out of the way, let's continue. Next, we take the number 164,128,535 and divide it by 2:

164,128,535 ÷ 2 = 82,064,267.5

If the quotient is a whole number, then 2 and 82,064,267.5 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:

1 164,128,535
-1 -164,128,535

Now, we try dividing 164,128,535 by 3:

164,128,535 ÷ 3 = 54,709,511.6667

If the quotient is a whole number, then 3 and 54,709,511.6667 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:

1 164,128,535
-1 -164,128,535

Let's try dividing by 4:

164,128,535 ÷ 4 = 41,032,133.75

If the quotient is a whole number, then 4 and 41,032,133.75 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:

1 164,128,535
-1 164,128,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15411012055054,1417,92720,70539,635325,007800,6271,625,0354,003,13532,825,707164,128,535
-1-5-41-101-205-505-4,141-7,927-20,705-39,635-325,007-800,627-1,625,035-4,003,135-32,825,707-164,128,535

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 164,128,535:


Ask a Question