Q: What are the factor combinations of the number 15,074,843?

 A:
Positive:   1 x 150748437 x 215354953 x 284431179 x 84217227 x 66409371 x 406331253 x 120311589 x 9487
Negative: -1 x -15074843-7 x -2153549-53 x -284431-179 x -84217-227 x -66409-371 x -40633-1253 x -12031-1589 x -9487


How do I find the factor combinations of the number 15,074,843?

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 15,074,843, 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 15,074,843
-1 -15,074,843

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 15,074,843.

Example:
1 x 15,074,843 = 15,074,843
and
-1 x -15,074,843 = 15,074,843
Notice both answers equal 15,074,843

With that explanation out of the way, let's continue. Next, we take the number 15,074,843 and divide it by 2:

15,074,843 ÷ 2 = 7,537,421.5

If the quotient is a whole number, then 2 and 7,537,421.5 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 15,074,843
-1 -15,074,843

Now, we try dividing 15,074,843 by 3:

15,074,843 ÷ 3 = 5,024,947.6667

If the quotient is a whole number, then 3 and 5,024,947.6667 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 15,074,843
-1 -15,074,843

Let's try dividing by 4:

15,074,843 ÷ 4 = 3,768,710.75

If the quotient is a whole number, then 4 and 3,768,710.75 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 15,074,843
-1 15,074,843
Keep dividing by the next highest number until you cannot divide anymore.

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

17531792273711,2531,5899,48712,03140,63366,40984,217284,4312,153,54915,074,843
-1-7-53-179-227-371-1,253-1,589-9,487-12,031-40,633-66,409-84,217-284,431-2,153,549-15,074,843

More Examples

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