Q: What are the factor combinations of the number 15,061,025?

 A:
Positive:   1 x 150610255 x 30122057 x 215157525 x 60244135 x 43031589 x 169225175 x 86063445 x 33845623 x 24175967 x 155752225 x 67693115 x 4835
Negative: -1 x -15061025-5 x -3012205-7 x -2151575-25 x -602441-35 x -430315-89 x -169225-175 x -86063-445 x -33845-623 x -24175-967 x -15575-2225 x -6769-3115 x -4835


How do I find the factor combinations of the number 15,061,025?

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 15,061,025, 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 15,061,025
-1 -15,061,025

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 15,061,025.

Example:
1 x 15,061,025 = 15,061,025
and
-1 x -15,061,025 = 15,061,025
Notice both answers equal 15,061,025

With that explanation out of the way, let's continue. Next, we take the number 15,061,025 and divide it by 2:

15,061,025 ÷ 2 = 7,530,512.5

If the quotient is a whole number, then 2 and 7,530,512.5 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 15,061,025
-1 -15,061,025

Now, we try dividing 15,061,025 by 3:

15,061,025 ÷ 3 = 5,020,341.6667

If the quotient is a whole number, then 3 and 5,020,341.6667 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 15,061,025
-1 -15,061,025

Let's try dividing by 4:

15,061,025 ÷ 4 = 3,765,256.25

If the quotient is a whole number, then 4 and 3,765,256.25 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 15,061,025
-1 15,061,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535891754456239672,2253,1154,8356,76915,57524,17533,84586,063169,225430,315602,4412,151,5753,012,20515,061,025
-1-5-7-25-35-89-175-445-623-967-2,225-3,115-4,835-6,769-15,575-24,175-33,845-86,063-169,225-430,315-602,441-2,151,575-3,012,205-15,061,025

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