Q: What are the factor combinations of the number 104,119,367?

 A:
Positive:   1 x 10411936711 x 946539723 x 452692929 x 3590323253 x 411539319 x 326393529 x 196823617 x 168751667 x 1561015819 x 178936787 x 153417337 x 14191
Negative: -1 x -104119367-11 x -9465397-23 x -4526929-29 x -3590323-253 x -411539-319 x -326393-529 x -196823-617 x -168751-667 x -156101-5819 x -17893-6787 x -15341-7337 x -14191


How do I find the factor combinations of the number 104,119,367?

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 104,119,367, 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.

1 104,119,367
-1 -104,119,367

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 104,119,367.

Example:
1 x 104,119,367 = 104,119,367
and
-1 x -104,119,367 = 104,119,367
Notice both answers equal 104,119,367

With that explanation out of the way, let's continue. Next, we take the number 104,119,367 and divide it by 2:

104,119,367 ÷ 2 = 52,059,683.5

If the quotient is a whole number, then 2 and 52,059,683.5 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:

1 104,119,367
-1 -104,119,367

Now, we try dividing 104,119,367 by 3:

104,119,367 ÷ 3 = 34,706,455.6667

If the quotient is a whole number, then 3 and 34,706,455.6667 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:

1 104,119,367
-1 -104,119,367

Let's try dividing by 4:

104,119,367 ÷ 4 = 26,029,841.75

If the quotient is a whole number, then 4 and 26,029,841.75 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:

1 104,119,367
-1 104,119,367
Keep dividing by the next highest number until you cannot divide anymore.

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

11123292533195296176675,8196,7877,33714,19115,34117,893156,101168,751196,823326,393411,5393,590,3234,526,9299,465,397104,119,367
-1-11-23-29-253-319-529-617-667-5,819-6,787-7,337-14,191-15,341-17,893-156,101-168,751-196,823-326,393-411,539-3,590,323-4,526,929-9,465,397-104,119,367

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