Q: What are the factor combinations of the number 20,407,555?

 A:
Positive:   1 x 204075555 x 40815117 x 291536523 x 88728535 x 583073101 x 202055115 x 177457161 x 126755251 x 81305505 x 40411707 x 28865805 x 253511255 x 162611757 x 116152323 x 87853535 x 5773
Negative: -1 x -20407555-5 x -4081511-7 x -2915365-23 x -887285-35 x -583073-101 x -202055-115 x -177457-161 x -126755-251 x -81305-505 x -40411-707 x -28865-805 x -25351-1255 x -16261-1757 x -11615-2323 x -8785-3535 x -5773


How do I find the factor combinations of the number 20,407,555?

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 20,407,555, 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 20,407,555
-1 -20,407,555

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 20,407,555.

Example:
1 x 20,407,555 = 20,407,555
and
-1 x -20,407,555 = 20,407,555
Notice both answers equal 20,407,555

With that explanation out of the way, let's continue. Next, we take the number 20,407,555 and divide it by 2:

20,407,555 ÷ 2 = 10,203,777.5

If the quotient is a whole number, then 2 and 10,203,777.5 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 20,407,555
-1 -20,407,555

Now, we try dividing 20,407,555 by 3:

20,407,555 ÷ 3 = 6,802,518.3333

If the quotient is a whole number, then 3 and 6,802,518.3333 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 20,407,555
-1 -20,407,555

Let's try dividing by 4:

20,407,555 ÷ 4 = 5,101,888.75

If the quotient is a whole number, then 4 and 5,101,888.75 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 20,407,555
-1 20,407,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351011151612515057078051,2551,7572,3233,5355,7738,78511,61516,26125,35128,86540,41181,305126,755177,457202,055583,073887,2852,915,3654,081,51120,407,555
-1-5-7-23-35-101-115-161-251-505-707-805-1,255-1,757-2,323-3,535-5,773-8,785-11,615-16,261-25,351-28,865-40,411-81,305-126,755-177,457-202,055-583,073-887,285-2,915,365-4,081,511-20,407,555

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