Q: What are the factor combinations of the number 15,057,245?

 A:
Positive:   1 x 150572455 x 30114497 x 215103535 x 43020767 x 224735335 x 44947469 x 321052345 x 6421
Negative: -1 x -15057245-5 x -3011449-7 x -2151035-35 x -430207-67 x -224735-335 x -44947-469 x -32105-2345 x -6421


How do I find the factor combinations of the number 15,057,245?

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 15,057,245, 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 15,057,245
-1 -15,057,245

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 15,057,245.

Example:
1 x 15,057,245 = 15,057,245
and
-1 x -15,057,245 = 15,057,245
Notice both answers equal 15,057,245

With that explanation out of the way, let's continue. Next, we take the number 15,057,245 and divide it by 2:

15,057,245 ÷ 2 = 7,528,622.5

If the quotient is a whole number, then 2 and 7,528,622.5 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 15,057,245
-1 -15,057,245

Now, we try dividing 15,057,245 by 3:

15,057,245 ÷ 3 = 5,019,081.6667

If the quotient is a whole number, then 3 and 5,019,081.6667 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 15,057,245
-1 -15,057,245

Let's try dividing by 4:

15,057,245 ÷ 4 = 3,764,311.25

If the quotient is a whole number, then 4 and 3,764,311.25 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 15,057,245
-1 15,057,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,3456,42132,10544,947224,735430,2072,151,0353,011,44915,057,245
-1-5-7-35-67-335-469-2,345-6,421-32,105-44,947-224,735-430,207-2,151,035-3,011,449-15,057,245

More Examples

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