Q: What are the factor combinations of the number 20,207,225?

 A:
Positive:   1 x 202072255 x 404144523 x 87857525 x 808289113 x 178825115 x 175715311 x 64975565 x 35765575 x 351431555 x 129952599 x 77752825 x 7153
Negative: -1 x -20207225-5 x -4041445-23 x -878575-25 x -808289-113 x -178825-115 x -175715-311 x -64975-565 x -35765-575 x -35143-1555 x -12995-2599 x -7775-2825 x -7153


How do I find the factor combinations of the number 20,207,225?

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 20,207,225, 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 20,207,225
-1 -20,207,225

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 20,207,225.

Example:
1 x 20,207,225 = 20,207,225
and
-1 x -20,207,225 = 20,207,225
Notice both answers equal 20,207,225

With that explanation out of the way, let's continue. Next, we take the number 20,207,225 and divide it by 2:

20,207,225 ÷ 2 = 10,103,612.5

If the quotient is a whole number, then 2 and 10,103,612.5 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 20,207,225
-1 -20,207,225

Now, we try dividing 20,207,225 by 3:

20,207,225 ÷ 3 = 6,735,741.6667

If the quotient is a whole number, then 3 and 6,735,741.6667 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 20,207,225
-1 -20,207,225

Let's try dividing by 4:

20,207,225 ÷ 4 = 5,051,806.25

If the quotient is a whole number, then 4 and 5,051,806.25 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 20,207,225
-1 20,207,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251131153115655751,5552,5992,8257,1537,77512,99535,14335,76564,975175,715178,825808,289878,5754,041,44520,207,225
-1-5-23-25-113-115-311-565-575-1,555-2,599-2,825-7,153-7,775-12,995-35,143-35,765-64,975-175,715-178,825-808,289-878,575-4,041,445-20,207,225

More Examples

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