Q: What are the factor combinations of the number 4,013,513?

 A:
Positive:   1 x 40135137 x 57335917 x 23608929 x 138397119 x 33727203 x 19771493 x 81411163 x 3451
Negative: -1 x -4013513-7 x -573359-17 x -236089-29 x -138397-119 x -33727-203 x -19771-493 x -8141-1163 x -3451


How do I find the factor combinations of the number 4,013,513?

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 4,013,513, 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 4,013,513
-1 -4,013,513

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 4,013,513.

Example:
1 x 4,013,513 = 4,013,513
and
-1 x -4,013,513 = 4,013,513
Notice both answers equal 4,013,513

With that explanation out of the way, let's continue. Next, we take the number 4,013,513 and divide it by 2:

4,013,513 ÷ 2 = 2,006,756.5

If the quotient is a whole number, then 2 and 2,006,756.5 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 4,013,513
-1 -4,013,513

Now, we try dividing 4,013,513 by 3:

4,013,513 ÷ 3 = 1,337,837.6667

If the quotient is a whole number, then 3 and 1,337,837.6667 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 4,013,513
-1 -4,013,513

Let's try dividing by 4:

4,013,513 ÷ 4 = 1,003,378.25

If the quotient is a whole number, then 4 and 1,003,378.25 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 4,013,513
-1 4,013,513
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034931,1633,4518,14119,77133,727138,397236,089573,3594,013,513
-1-7-17-29-119-203-493-1,163-3,451-8,141-19,771-33,727-138,397-236,089-573,359-4,013,513

More Examples

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