Q: What are the factor combinations of the number 56,131,501?

 A:
Positive:   1 x 5613150117 x 330185329 x 193556941 x 1369061493 x 113857697 x 805331189 x 472092777 x 20213
Negative: -1 x -56131501-17 x -3301853-29 x -1935569-41 x -1369061-493 x -113857-697 x -80533-1189 x -47209-2777 x -20213


How do I find the factor combinations of the number 56,131,501?

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 56,131,501, 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 56,131,501
-1 -56,131,501

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 56,131,501.

Example:
1 x 56,131,501 = 56,131,501
and
-1 x -56,131,501 = 56,131,501
Notice both answers equal 56,131,501

With that explanation out of the way, let's continue. Next, we take the number 56,131,501 and divide it by 2:

56,131,501 ÷ 2 = 28,065,750.5

If the quotient is a whole number, then 2 and 28,065,750.5 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 56,131,501
-1 -56,131,501

Now, we try dividing 56,131,501 by 3:

56,131,501 ÷ 3 = 18,710,500.3333

If the quotient is a whole number, then 3 and 18,710,500.3333 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 56,131,501
-1 -56,131,501

Let's try dividing by 4:

56,131,501 ÷ 4 = 14,032,875.25

If the quotient is a whole number, then 4 and 14,032,875.25 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 56,131,501
-1 56,131,501
Keep dividing by the next highest number until you cannot divide anymore.

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

11729414936971,1892,77720,21347,20980,533113,8571,369,0611,935,5693,301,85356,131,501
-1-17-29-41-493-697-1,189-2,777-20,213-47,209-80,533-113,857-1,369,061-1,935,569-3,301,853-56,131,501

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