Q: What are the factor combinations of the number 625,644,421?

 A:
Positive:   1 x 62564442117 x 36802613139 x 4501039271 x 2308651977 x 6403732363 x 2647674607 x 13580316609 x 37669
Negative: -1 x -625644421-17 x -36802613-139 x -4501039-271 x -2308651-977 x -640373-2363 x -264767-4607 x -135803-16609 x -37669


How do I find the factor combinations of the number 625,644,421?

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 625,644,421, 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.

1 625,644,421
-1 -625,644,421

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 625,644,421.

Example:
1 x 625,644,421 = 625,644,421
and
-1 x -625,644,421 = 625,644,421
Notice both answers equal 625,644,421

With that explanation out of the way, let's continue. Next, we take the number 625,644,421 and divide it by 2:

625,644,421 ÷ 2 = 312,822,210.5

If the quotient is a whole number, then 2 and 312,822,210.5 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:

1 625,644,421
-1 -625,644,421

Now, we try dividing 625,644,421 by 3:

625,644,421 ÷ 3 = 208,548,140.3333

If the quotient is a whole number, then 3 and 208,548,140.3333 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:

1 625,644,421
-1 -625,644,421

Let's try dividing by 4:

625,644,421 ÷ 4 = 156,411,105.25

If the quotient is a whole number, then 4 and 156,411,105.25 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:

1 625,644,421
-1 625,644,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1171392719772,3634,60716,60937,669135,803264,767640,3732,308,6514,501,03936,802,613625,644,421
-1-17-139-271-977-2,363-4,607-16,609-37,669-135,803-264,767-640,373-2,308,651-4,501,039-36,802,613-625,644,421

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