Q: What are the factor combinations of the number 4,741,355?

 A:
Positive:   1 x 47413555 x 94827119 x 24954529 x 16349595 x 49909145 x 32699551 x 86051721 x 2755
Negative: -1 x -4741355-5 x -948271-19 x -249545-29 x -163495-95 x -49909-145 x -32699-551 x -8605-1721 x -2755


How do I find the factor combinations of the number 4,741,355?

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 4,741,355, 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 4,741,355
-1 -4,741,355

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 4,741,355.

Example:
1 x 4,741,355 = 4,741,355
and
-1 x -4,741,355 = 4,741,355
Notice both answers equal 4,741,355

With that explanation out of the way, let's continue. Next, we take the number 4,741,355 and divide it by 2:

4,741,355 ÷ 2 = 2,370,677.5

If the quotient is a whole number, then 2 and 2,370,677.5 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 4,741,355
-1 -4,741,355

Now, we try dividing 4,741,355 by 3:

4,741,355 ÷ 3 = 1,580,451.6667

If the quotient is a whole number, then 3 and 1,580,451.6667 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 4,741,355
-1 -4,741,355

Let's try dividing by 4:

4,741,355 ÷ 4 = 1,185,338.75

If the quotient is a whole number, then 4 and 1,185,338.75 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 4,741,355
-1 4,741,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455511,7212,7558,60532,69949,909163,495249,545948,2714,741,355
-1-5-19-29-95-145-551-1,721-2,755-8,605-32,699-49,909-163,495-249,545-948,271-4,741,355

More Examples

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