Q: What are the factor combinations of the number 104,044,141?

 A:
Positive:   1 x 10404414129 x 358772953 x 1963097139 x 748519487 x 2136431537 x 676934031 x 258117367 x 14123
Negative: -1 x -104044141-29 x -3587729-53 x -1963097-139 x -748519-487 x -213643-1537 x -67693-4031 x -25811-7367 x -14123


How do I find the factor combinations of the number 104,044,141?

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 104,044,141, 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.

1 104,044,141
-1 -104,044,141

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 104,044,141.

Example:
1 x 104,044,141 = 104,044,141
and
-1 x -104,044,141 = 104,044,141
Notice both answers equal 104,044,141

With that explanation out of the way, let's continue. Next, we take the number 104,044,141 and divide it by 2:

104,044,141 ÷ 2 = 52,022,070.5

If the quotient is a whole number, then 2 and 52,022,070.5 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:

1 104,044,141
-1 -104,044,141

Now, we try dividing 104,044,141 by 3:

104,044,141 ÷ 3 = 34,681,380.3333

If the quotient is a whole number, then 3 and 34,681,380.3333 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:

1 104,044,141
-1 -104,044,141

Let's try dividing by 4:

104,044,141 ÷ 4 = 26,011,035.25

If the quotient is a whole number, then 4 and 26,011,035.25 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:

1 104,044,141
-1 104,044,141
Keep dividing by the next highest number until you cannot divide anymore.

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

129531394871,5374,0317,36714,12325,81167,693213,643748,5191,963,0973,587,729104,044,141
-1-29-53-139-487-1,537-4,031-7,367-14,123-25,811-67,693-213,643-748,519-1,963,097-3,587,729-104,044,141

More Examples

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