Q: What are the factor combinations of the number 13,250,825?

 A:
Positive:   1 x 132508255 x 26501657 x 189297525 x 53003329 x 45692535 x 37859549 x 270425145 x 91385175 x 75719203 x 65275245 x 54085373 x 35525725 x 182771015 x 130551225 x 108171421 x 93251865 x 71052611 x 5075
Negative: -1 x -13250825-5 x -2650165-7 x -1892975-25 x -530033-29 x -456925-35 x -378595-49 x -270425-145 x -91385-175 x -75719-203 x -65275-245 x -54085-373 x -35525-725 x -18277-1015 x -13055-1225 x -10817-1421 x -9325-1865 x -7105-2611 x -5075


How do I find the factor combinations of the number 13,250,825?

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 13,250,825, 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 13,250,825
-1 -13,250,825

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 13,250,825.

Example:
1 x 13,250,825 = 13,250,825
and
-1 x -13,250,825 = 13,250,825
Notice both answers equal 13,250,825

With that explanation out of the way, let's continue. Next, we take the number 13,250,825 and divide it by 2:

13,250,825 ÷ 2 = 6,625,412.5

If the quotient is a whole number, then 2 and 6,625,412.5 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 13,250,825
-1 -13,250,825

Now, we try dividing 13,250,825 by 3:

13,250,825 ÷ 3 = 4,416,941.6667

If the quotient is a whole number, then 3 and 4,416,941.6667 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 13,250,825
-1 -13,250,825

Let's try dividing by 4:

13,250,825 ÷ 4 = 3,312,706.25

If the quotient is a whole number, then 4 and 3,312,706.25 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 13,250,825
-1 13,250,825
Keep dividing by the next highest number until you cannot divide anymore.

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

157252935491451752032453737251,0151,2251,4211,8652,6115,0757,1059,32510,81713,05518,27735,52554,08565,27575,71991,385270,425378,595456,925530,0331,892,9752,650,16513,250,825
-1-5-7-25-29-35-49-145-175-203-245-373-725-1,015-1,225-1,421-1,865-2,611-5,075-7,105-9,325-10,817-13,055-18,277-35,525-54,085-65,275-75,719-91,385-270,425-378,595-456,925-530,033-1,892,975-2,650,165-13,250,825

More Examples

Here are some more numbers to try:

13,250,82313,250,82413,250,82613,250,827
Try the factor calculator

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