Q: What are the factor combinations of the number 125,423,365?

 A:
Positive:   1 x 1254233655 x 2508467317 x 737784531 x 404591585 x 1475569155 x 809183527 x 2379952635 x 47599
Negative: -1 x -125423365-5 x -25084673-17 x -7377845-31 x -4045915-85 x -1475569-155 x -809183-527 x -237995-2635 x -47599


How do I find the factor combinations of the number 125,423,365?

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 125,423,365, 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.

1 125,423,365
-1 -125,423,365

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 125,423,365.

Example:
1 x 125,423,365 = 125,423,365
and
-1 x -125,423,365 = 125,423,365
Notice both answers equal 125,423,365

With that explanation out of the way, let's continue. Next, we take the number 125,423,365 and divide it by 2:

125,423,365 ÷ 2 = 62,711,682.5

If the quotient is a whole number, then 2 and 62,711,682.5 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:

1 125,423,365
-1 -125,423,365

Now, we try dividing 125,423,365 by 3:

125,423,365 ÷ 3 = 41,807,788.3333

If the quotient is a whole number, then 3 and 41,807,788.3333 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:

1 125,423,365
-1 -125,423,365

Let's try dividing by 4:

125,423,365 ÷ 4 = 31,355,841.25

If the quotient is a whole number, then 4 and 31,355,841.25 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:

1 125,423,365
-1 125,423,365
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555272,63547,599237,995809,1831,475,5694,045,9157,377,84525,084,673125,423,365
-1-5-17-31-85-155-527-2,635-47,599-237,995-809,183-1,475,569-4,045,915-7,377,845-25,084,673-125,423,365

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 125,423,365:


Ask a Question