Q: What are the factor combinations of the number 104,403,341?

 A:
Positive:   1 x 1044033417 x 1491476317 x 6141373119 x 877339313 x 3335572191 x 476512803 x 372475321 x 19621
Negative: -1 x -104403341-7 x -14914763-17 x -6141373-119 x -877339-313 x -333557-2191 x -47651-2803 x -37247-5321 x -19621


How do I find the factor combinations of the number 104,403,341?

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 104,403,341, 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.

1 104,403,341
-1 -104,403,341

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 104,403,341.

Example:
1 x 104,403,341 = 104,403,341
and
-1 x -104,403,341 = 104,403,341
Notice both answers equal 104,403,341

With that explanation out of the way, let's continue. Next, we take the number 104,403,341 and divide it by 2:

104,403,341 ÷ 2 = 52,201,670.5

If the quotient is a whole number, then 2 and 52,201,670.5 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:

1 104,403,341
-1 -104,403,341

Now, we try dividing 104,403,341 by 3:

104,403,341 ÷ 3 = 34,801,113.6667

If the quotient is a whole number, then 3 and 34,801,113.6667 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:

1 104,403,341
-1 -104,403,341

Let's try dividing by 4:

104,403,341 ÷ 4 = 26,100,835.25

If the quotient is a whole number, then 4 and 26,100,835.25 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:

1 104,403,341
-1 104,403,341
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193132,1912,8035,32119,62137,24747,651333,557877,3396,141,37314,914,763104,403,341
-1-7-17-119-313-2,191-2,803-5,321-19,621-37,247-47,651-333,557-877,339-6,141,373-14,914,763-104,403,341

More Examples

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