Q: What are the factor combinations of the number 104,123,435?

 A:
Positive:   1 x 1041234355 x 2082468713 x 800949565 x 1601899149 x 698815169 x 616115745 x 139763827 x 125905845 x 1232231937 x 537554135 x 251819685 x 10751
Negative: -1 x -104123435-5 x -20824687-13 x -8009495-65 x -1601899-149 x -698815-169 x -616115-745 x -139763-827 x -125905-845 x -123223-1937 x -53755-4135 x -25181-9685 x -10751


How do I find the factor combinations of the number 104,123,435?

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 104,123,435, 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.

1 104,123,435
-1 -104,123,435

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 104,123,435.

Example:
1 x 104,123,435 = 104,123,435
and
-1 x -104,123,435 = 104,123,435
Notice both answers equal 104,123,435

With that explanation out of the way, let's continue. Next, we take the number 104,123,435 and divide it by 2:

104,123,435 ÷ 2 = 52,061,717.5

If the quotient is a whole number, then 2 and 52,061,717.5 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:

1 104,123,435
-1 -104,123,435

Now, we try dividing 104,123,435 by 3:

104,123,435 ÷ 3 = 34,707,811.6667

If the quotient is a whole number, then 3 and 34,707,811.6667 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:

1 104,123,435
-1 -104,123,435

Let's try dividing by 4:

104,123,435 ÷ 4 = 26,030,858.75

If the quotient is a whole number, then 4 and 26,030,858.75 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:

1 104,123,435
-1 104,123,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651491697458278451,9374,1359,68510,75125,18153,755123,223125,905139,763616,115698,8151,601,8998,009,49520,824,687104,123,435
-1-5-13-65-149-169-745-827-845-1,937-4,135-9,685-10,751-25,181-53,755-123,223-125,905-139,763-616,115-698,815-1,601,899-8,009,495-20,824,687-104,123,435

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