Q: What are the factor combinations of the number 56,436,581?

 A:
Positive:   1 x 5643658129 x 194608937 x 1525313149 x 378769353 x 1598771073 x 525974321 x 130615513 x 10237
Negative: -1 x -56436581-29 x -1946089-37 x -1525313-149 x -378769-353 x -159877-1073 x -52597-4321 x -13061-5513 x -10237


How do I find the factor combinations of the number 56,436,581?

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 56,436,581, 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 56,436,581
-1 -56,436,581

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 56,436,581.

Example:
1 x 56,436,581 = 56,436,581
and
-1 x -56,436,581 = 56,436,581
Notice both answers equal 56,436,581

With that explanation out of the way, let's continue. Next, we take the number 56,436,581 and divide it by 2:

56,436,581 ÷ 2 = 28,218,290.5

If the quotient is a whole number, then 2 and 28,218,290.5 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 56,436,581
-1 -56,436,581

Now, we try dividing 56,436,581 by 3:

56,436,581 ÷ 3 = 18,812,193.6667

If the quotient is a whole number, then 3 and 18,812,193.6667 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 56,436,581
-1 -56,436,581

Let's try dividing by 4:

56,436,581 ÷ 4 = 14,109,145.25

If the quotient is a whole number, then 4 and 14,109,145.25 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 56,436,581
-1 56,436,581
Keep dividing by the next highest number until you cannot divide anymore.

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

129371493531,0734,3215,51310,23713,06152,597159,877378,7691,525,3131,946,08956,436,581
-1-29-37-149-353-1,073-4,321-5,513-10,237-13,061-52,597-159,877-378,769-1,525,313-1,946,089-56,436,581

More Examples

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