Q: What are the factor combinations of the number 104,383,741?

 A:
Positive:   1 x 1043837417 x 1491196311 x 948943177 x 1355633109 x 957649763 x 1368071199 x 870598393 x 12437
Negative: -1 x -104383741-7 x -14911963-11 x -9489431-77 x -1355633-109 x -957649-763 x -136807-1199 x -87059-8393 x -12437


How do I find the factor combinations of the number 104,383,741?

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 104,383,741, 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.

1 104,383,741
-1 -104,383,741

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 104,383,741.

Example:
1 x 104,383,741 = 104,383,741
and
-1 x -104,383,741 = 104,383,741
Notice both answers equal 104,383,741

With that explanation out of the way, let's continue. Next, we take the number 104,383,741 and divide it by 2:

104,383,741 ÷ 2 = 52,191,870.5

If the quotient is a whole number, then 2 and 52,191,870.5 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:

1 104,383,741
-1 -104,383,741

Now, we try dividing 104,383,741 by 3:

104,383,741 ÷ 3 = 34,794,580.3333

If the quotient is a whole number, then 3 and 34,794,580.3333 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:

1 104,383,741
-1 -104,383,741

Let's try dividing by 4:

104,383,741 ÷ 4 = 26,095,935.25

If the quotient is a whole number, then 4 and 26,095,935.25 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:

1 104,383,741
-1 104,383,741
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771097631,1998,39312,43787,059136,807957,6491,355,6339,489,43114,911,963104,383,741
-1-7-11-77-109-763-1,199-8,393-12,437-87,059-136,807-957,649-1,355,633-9,489,431-14,911,963-104,383,741

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 104,383,741:


Ask a Question