Q: What are the factor combinations of the number 104,041,225?

 A:
Positive:   1 x 1040412255 x 2080824525 x 416164937 x 2811925137 x 759425185 x 562385685 x 151885821 x 126725925 x 1124773425 x 303774105 x 253455069 x 20525
Negative: -1 x -104041225-5 x -20808245-25 x -4161649-37 x -2811925-137 x -759425-185 x -562385-685 x -151885-821 x -126725-925 x -112477-3425 x -30377-4105 x -25345-5069 x -20525


How do I find the factor combinations of the number 104,041,225?

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 104,041,225, 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.

1 104,041,225
-1 -104,041,225

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 104,041,225.

Example:
1 x 104,041,225 = 104,041,225
and
-1 x -104,041,225 = 104,041,225
Notice both answers equal 104,041,225

With that explanation out of the way, let's continue. Next, we take the number 104,041,225 and divide it by 2:

104,041,225 ÷ 2 = 52,020,612.5

If the quotient is a whole number, then 2 and 52,020,612.5 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:

1 104,041,225
-1 -104,041,225

Now, we try dividing 104,041,225 by 3:

104,041,225 ÷ 3 = 34,680,408.3333

If the quotient is a whole number, then 3 and 34,680,408.3333 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:

1 104,041,225
-1 -104,041,225

Let's try dividing by 4:

104,041,225 ÷ 4 = 26,010,306.25

If the quotient is a whole number, then 4 and 26,010,306.25 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:

1 104,041,225
-1 104,041,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371371856858219253,4254,1055,06920,52525,34530,377112,477126,725151,885562,385759,4252,811,9254,161,64920,808,245104,041,225
-1-5-25-37-137-185-685-821-925-3,425-4,105-5,069-20,525-25,345-30,377-112,477-126,725-151,885-562,385-759,425-2,811,925-4,161,649-20,808,245-104,041,225

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