Q: What are the factor combinations of the number 425,112,205?

 A:
Positive:   1 x 4251122055 x 850224417 x 6073031535 x 1214606353 x 8020985265 x 1604197371 x 11458551855 x 229171
Negative: -1 x -425112205-5 x -85022441-7 x -60730315-35 x -12146063-53 x -8020985-265 x -1604197-371 x -1145855-1855 x -229171


How do I find the factor combinations of the number 425,112,205?

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 425,112,205, 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.

1 425,112,205
-1 -425,112,205

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 425,112,205.

Example:
1 x 425,112,205 = 425,112,205
and
-1 x -425,112,205 = 425,112,205
Notice both answers equal 425,112,205

With that explanation out of the way, let's continue. Next, we take the number 425,112,205 and divide it by 2:

425,112,205 ÷ 2 = 212,556,102.5

If the quotient is a whole number, then 2 and 212,556,102.5 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:

1 425,112,205
-1 -425,112,205

Now, we try dividing 425,112,205 by 3:

425,112,205 ÷ 3 = 141,704,068.3333

If the quotient is a whole number, then 3 and 141,704,068.3333 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:

1 425,112,205
-1 -425,112,205

Let's try dividing by 4:

425,112,205 ÷ 4 = 106,278,051.25

If the quotient is a whole number, then 4 and 106,278,051.25 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:

1 425,112,205
-1 425,112,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,855229,1711,145,8551,604,1978,020,98512,146,06360,730,31585,022,441425,112,205
-1-5-7-35-53-265-371-1,855-229,171-1,145,855-1,604,197-8,020,985-12,146,063-60,730,315-85,022,441-425,112,205

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