Q: What are the factor combinations of the number 15,207,025?

 A:
Positive:   1 x 152070255 x 304140523 x 66117525 x 60828153 x 286925115 x 132235265 x 57385499 x 30475575 x 264471219 x 124751325 x 114772495 x 6095
Negative: -1 x -15207025-5 x -3041405-23 x -661175-25 x -608281-53 x -286925-115 x -132235-265 x -57385-499 x -30475-575 x -26447-1219 x -12475-1325 x -11477-2495 x -6095


How do I find the factor combinations of the number 15,207,025?

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 15,207,025, 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 15,207,025
-1 -15,207,025

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 15,207,025.

Example:
1 x 15,207,025 = 15,207,025
and
-1 x -15,207,025 = 15,207,025
Notice both answers equal 15,207,025

With that explanation out of the way, let's continue. Next, we take the number 15,207,025 and divide it by 2:

15,207,025 ÷ 2 = 7,603,512.5

If the quotient is a whole number, then 2 and 7,603,512.5 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 15,207,025
-1 -15,207,025

Now, we try dividing 15,207,025 by 3:

15,207,025 ÷ 3 = 5,069,008.3333

If the quotient is a whole number, then 3 and 5,069,008.3333 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 15,207,025
-1 -15,207,025

Let's try dividing by 4:

15,207,025 ÷ 4 = 3,801,756.25

If the quotient is a whole number, then 4 and 3,801,756.25 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 15,207,025
-1 15,207,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152325531152654995751,2191,3252,4956,09511,47712,47526,44730,47557,385132,235286,925608,281661,1753,041,40515,207,025
-1-5-23-25-53-115-265-499-575-1,219-1,325-2,495-6,095-11,477-12,475-26,447-30,475-57,385-132,235-286,925-608,281-661,175-3,041,405-15,207,025

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