Q: What are the factor combinations of the number 104,032,225?

 A:
Positive:   1 x 1040322255 x 2080644511 x 945747525 x 416128955 x 1891495199 x 522775275 x 378299995 x 1045551901 x 547252189 x 475254975 x 209119505 x 10945
Negative: -1 x -104032225-5 x -20806445-11 x -9457475-25 x -4161289-55 x -1891495-199 x -522775-275 x -378299-995 x -104555-1901 x -54725-2189 x -47525-4975 x -20911-9505 x -10945


How do I find the factor combinations of the number 104,032,225?

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 104,032,225, 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.

1 104,032,225
-1 -104,032,225

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 104,032,225.

Example:
1 x 104,032,225 = 104,032,225
and
-1 x -104,032,225 = 104,032,225
Notice both answers equal 104,032,225

With that explanation out of the way, let's continue. Next, we take the number 104,032,225 and divide it by 2:

104,032,225 ÷ 2 = 52,016,112.5

If the quotient is a whole number, then 2 and 52,016,112.5 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:

1 104,032,225
-1 -104,032,225

Now, we try dividing 104,032,225 by 3:

104,032,225 ÷ 3 = 34,677,408.3333

If the quotient is a whole number, then 3 and 34,677,408.3333 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:

1 104,032,225
-1 -104,032,225

Let's try dividing by 4:

104,032,225 ÷ 4 = 26,008,056.25

If the quotient is a whole number, then 4 and 26,008,056.25 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:

1 104,032,225
-1 104,032,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551992759951,9012,1894,9759,50510,94520,91147,52554,725104,555378,299522,7751,891,4954,161,2899,457,47520,806,445104,032,225
-1-5-11-25-55-199-275-995-1,901-2,189-4,975-9,505-10,945-20,911-47,525-54,725-104,555-378,299-522,775-1,891,495-4,161,289-9,457,475-20,806,445-104,032,225

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