Q: What are the factor combinations of the number 41,245,225?

 A:
Positive:   1 x 412452255 x 82490457 x 589217525 x 164980935 x 1178435175 x 235687211 x 1954751055 x 390951117 x 369251477 x 279255275 x 78195585 x 7385
Negative: -1 x -41245225-5 x -8249045-7 x -5892175-25 x -1649809-35 x -1178435-175 x -235687-211 x -195475-1055 x -39095-1117 x -36925-1477 x -27925-5275 x -7819-5585 x -7385


How do I find the factor combinations of the number 41,245,225?

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 41,245,225, 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 41,245,225
-1 -41,245,225

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 41,245,225.

Example:
1 x 41,245,225 = 41,245,225
and
-1 x -41,245,225 = 41,245,225
Notice both answers equal 41,245,225

With that explanation out of the way, let's continue. Next, we take the number 41,245,225 and divide it by 2:

41,245,225 ÷ 2 = 20,622,612.5

If the quotient is a whole number, then 2 and 20,622,612.5 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 41,245,225
-1 -41,245,225

Now, we try dividing 41,245,225 by 3:

41,245,225 ÷ 3 = 13,748,408.3333

If the quotient is a whole number, then 3 and 13,748,408.3333 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 41,245,225
-1 -41,245,225

Let's try dividing by 4:

41,245,225 ÷ 4 = 10,311,306.25

If the quotient is a whole number, then 4 and 10,311,306.25 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 41,245,225
-1 41,245,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752111,0551,1171,4775,2755,5857,3857,81927,92536,92539,095195,475235,6871,178,4351,649,8095,892,1758,249,04541,245,225
-1-5-7-25-35-175-211-1,055-1,117-1,477-5,275-5,585-7,385-7,819-27,925-36,925-39,095-195,475-235,687-1,178,435-1,649,809-5,892,175-8,249,045-41,245,225

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