Q: What are the factor combinations of the number 15,400,357?

 A:
Positive:   1 x 154003577 x 220005149 x 31429359 x 261023343 x 44899413 x 37289761 x 202372891 x 5327
Negative: -1 x -15400357-7 x -2200051-49 x -314293-59 x -261023-343 x -44899-413 x -37289-761 x -20237-2891 x -5327


How do I find the factor combinations of the number 15,400,357?

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 15,400,357, 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 15,400,357
-1 -15,400,357

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 15,400,357.

Example:
1 x 15,400,357 = 15,400,357
and
-1 x -15,400,357 = 15,400,357
Notice both answers equal 15,400,357

With that explanation out of the way, let's continue. Next, we take the number 15,400,357 and divide it by 2:

15,400,357 ÷ 2 = 7,700,178.5

If the quotient is a whole number, then 2 and 7,700,178.5 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 15,400,357
-1 -15,400,357

Now, we try dividing 15,400,357 by 3:

15,400,357 ÷ 3 = 5,133,452.3333

If the quotient is a whole number, then 3 and 5,133,452.3333 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 15,400,357
-1 -15,400,357

Let's try dividing by 4:

15,400,357 ÷ 4 = 3,850,089.25

If the quotient is a whole number, then 4 and 3,850,089.25 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 15,400,357
-1 15,400,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1749593434137612,8915,32720,23737,28944,899261,023314,2932,200,05115,400,357
-1-7-49-59-343-413-761-2,891-5,327-20,237-37,289-44,899-261,023-314,293-2,200,051-15,400,357

More Examples

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