Q: What are the factor combinations of the number 425,054,399?

 A:
Positive:   1 x 4250543997 x 6072205711 x 3864130973 x 582266377 x 5520187511 x 831809803 x 5293335621 x 75619
Negative: -1 x -425054399-7 x -60722057-11 x -38641309-73 x -5822663-77 x -5520187-511 x -831809-803 x -529333-5621 x -75619


How do I find the factor combinations of the number 425,054,399?

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 425,054,399, 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.

1 425,054,399
-1 -425,054,399

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 425,054,399.

Example:
1 x 425,054,399 = 425,054,399
and
-1 x -425,054,399 = 425,054,399
Notice both answers equal 425,054,399

With that explanation out of the way, let's continue. Next, we take the number 425,054,399 and divide it by 2:

425,054,399 ÷ 2 = 212,527,199.5

If the quotient is a whole number, then 2 and 212,527,199.5 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:

1 425,054,399
-1 -425,054,399

Now, we try dividing 425,054,399 by 3:

425,054,399 ÷ 3 = 141,684,799.6667

If the quotient is a whole number, then 3 and 141,684,799.6667 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:

1 425,054,399
-1 -425,054,399

Let's try dividing by 4:

425,054,399 ÷ 4 = 106,263,599.75

If the quotient is a whole number, then 4 and 106,263,599.75 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:

1 425,054,399
-1 425,054,399
Keep dividing by the next highest number until you cannot divide anymore.

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

171173775118035,62175,619529,333831,8095,520,1875,822,66338,641,30960,722,057425,054,399
-1-7-11-73-77-511-803-5,621-75,619-529,333-831,809-5,520,187-5,822,663-38,641,309-60,722,057-425,054,399

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