Q: What are the factor combinations of the number 56,220,073?

 A:
Positive:   1 x 562200737 x 803143913 x 432462123 x 244435191 x 617803161 x 349193299 x 1880272093 x 26861
Negative: -1 x -56220073-7 x -8031439-13 x -4324621-23 x -2444351-91 x -617803-161 x -349193-299 x -188027-2093 x -26861


How do I find the factor combinations of the number 56,220,073?

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 56,220,073, 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 56,220,073
-1 -56,220,073

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 56,220,073.

Example:
1 x 56,220,073 = 56,220,073
and
-1 x -56,220,073 = 56,220,073
Notice both answers equal 56,220,073

With that explanation out of the way, let's continue. Next, we take the number 56,220,073 and divide it by 2:

56,220,073 ÷ 2 = 28,110,036.5

If the quotient is a whole number, then 2 and 28,110,036.5 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 56,220,073
-1 -56,220,073

Now, we try dividing 56,220,073 by 3:

56,220,073 ÷ 3 = 18,740,024.3333

If the quotient is a whole number, then 3 and 18,740,024.3333 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 56,220,073
-1 -56,220,073

Let's try dividing by 4:

56,220,073 ÷ 4 = 14,055,018.25

If the quotient is a whole number, then 4 and 14,055,018.25 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 56,220,073
-1 56,220,073
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612992,09326,861188,027349,193617,8032,444,3514,324,6218,031,43956,220,073
-1-7-13-23-91-161-299-2,093-26,861-188,027-349,193-617,803-2,444,351-4,324,621-8,031,439-56,220,073

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