Q: What are the factor combinations of the number 13,024,025?

 A:
Positive:   1 x 130240255 x 26048057 x 186057519 x 68547525 x 52096135 x 37211595 x 137095133 x 97925175 x 74423475 x 27419665 x 195853325 x 3917
Negative: -1 x -13024025-5 x -2604805-7 x -1860575-19 x -685475-25 x -520961-35 x -372115-95 x -137095-133 x -97925-175 x -74423-475 x -27419-665 x -19585-3325 x -3917


How do I find the factor combinations of the number 13,024,025?

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 13,024,025, 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 13,024,025
-1 -13,024,025

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 13,024,025.

Example:
1 x 13,024,025 = 13,024,025
and
-1 x -13,024,025 = 13,024,025
Notice both answers equal 13,024,025

With that explanation out of the way, let's continue. Next, we take the number 13,024,025 and divide it by 2:

13,024,025 ÷ 2 = 6,512,012.5

If the quotient is a whole number, then 2 and 6,512,012.5 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 13,024,025
-1 -13,024,025

Now, we try dividing 13,024,025 by 3:

13,024,025 ÷ 3 = 4,341,341.6667

If the quotient is a whole number, then 3 and 4,341,341.6667 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 13,024,025
-1 -13,024,025

Let's try dividing by 4:

13,024,025 ÷ 4 = 3,256,006.25

If the quotient is a whole number, then 4 and 3,256,006.25 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 13,024,025
-1 13,024,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,3253,91719,58527,41974,42397,925137,095372,115520,961685,4751,860,5752,604,80513,024,025
-1-5-7-19-25-35-95-133-175-475-665-3,325-3,917-19,585-27,419-74,423-97,925-137,095-372,115-520,961-685,475-1,860,575-2,604,805-13,024,025

More Examples

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