Q: What are the factor combinations of the number 105,642,079?

 A:
Positive:   1 x 10564207931 x 34078091787 x 591171907 x 55397
Negative: -1 x -105642079-31 x -3407809-1787 x -59117-1907 x -55397


How do I find the factor combinations of the number 105,642,079?

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 105,642,079, 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.

1 105,642,079
-1 -105,642,079

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 105,642,079.

Example:
1 x 105,642,079 = 105,642,079
and
-1 x -105,642,079 = 105,642,079
Notice both answers equal 105,642,079

With that explanation out of the way, let's continue. Next, we take the number 105,642,079 and divide it by 2:

105,642,079 ÷ 2 = 52,821,039.5

If the quotient is a whole number, then 2 and 52,821,039.5 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:

1 105,642,079
-1 -105,642,079

Now, we try dividing 105,642,079 by 3:

105,642,079 ÷ 3 = 35,214,026.3333

If the quotient is a whole number, then 3 and 35,214,026.3333 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:

1 105,642,079
-1 -105,642,079

Let's try dividing by 4:

105,642,079 ÷ 4 = 26,410,519.75

If the quotient is a whole number, then 4 and 26,410,519.75 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:

1 105,642,079
-1 105,642,079
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,7871,90755,39759,1173,407,809105,642,079
-1-31-1,787-1,907-55,397-59,117-3,407,809-105,642,079

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 105,642,079:


Ask a Question