Q: What are the factor combinations of the number 4,013,555?

 A:
Positive:   1 x 40135555 x 8027117 x 57336513 x 30873535 x 11467365 x 6174791 x 44105455 x 8821
Negative: -1 x -4013555-5 x -802711-7 x -573365-13 x -308735-35 x -114673-65 x -61747-91 x -44105-455 x -8821


How do I find the factor combinations of the number 4,013,555?

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 4,013,555, 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 4,013,555
-1 -4,013,555

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 4,013,555.

Example:
1 x 4,013,555 = 4,013,555
and
-1 x -4,013,555 = 4,013,555
Notice both answers equal 4,013,555

With that explanation out of the way, let's continue. Next, we take the number 4,013,555 and divide it by 2:

4,013,555 ÷ 2 = 2,006,777.5

If the quotient is a whole number, then 2 and 2,006,777.5 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 4,013,555
-1 -4,013,555

Now, we try dividing 4,013,555 by 3:

4,013,555 ÷ 3 = 1,337,851.6667

If the quotient is a whole number, then 3 and 1,337,851.6667 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 4,013,555
-1 -4,013,555

Let's try dividing by 4:

4,013,555 ÷ 4 = 1,003,388.75

If the quotient is a whole number, then 4 and 1,003,388.75 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 4,013,555
-1 4,013,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914558,82144,10561,747114,673308,735573,365802,7114,013,555
-1-5-7-13-35-65-91-455-8,821-44,105-61,747-114,673-308,735-573,365-802,711-4,013,555

More Examples

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