Q: What are the factor combinations of the number 6,123,425?

 A:
Positive:   1 x 61234255 x 12246857 x 87477511 x 55667525 x 24493735 x 17495555 x 11133577 x 79525175 x 34991275 x 22267385 x 159051925 x 3181
Negative: -1 x -6123425-5 x -1224685-7 x -874775-11 x -556675-25 x -244937-35 x -174955-55 x -111335-77 x -79525-175 x -34991-275 x -22267-385 x -15905-1925 x -3181


How do I find the factor combinations of the number 6,123,425?

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 6,123,425, 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 6,123,425
-1 -6,123,425

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 6,123,425.

Example:
1 x 6,123,425 = 6,123,425
and
-1 x -6,123,425 = 6,123,425
Notice both answers equal 6,123,425

With that explanation out of the way, let's continue. Next, we take the number 6,123,425 and divide it by 2:

6,123,425 ÷ 2 = 3,061,712.5

If the quotient is a whole number, then 2 and 3,061,712.5 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 6,123,425
-1 -6,123,425

Now, we try dividing 6,123,425 by 3:

6,123,425 ÷ 3 = 2,041,141.6667

If the quotient is a whole number, then 3 and 2,041,141.6667 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 6,123,425
-1 -6,123,425

Let's try dividing by 4:

6,123,425 ÷ 4 = 1,530,856.25

If the quotient is a whole number, then 4 and 1,530,856.25 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 6,123,425
-1 6,123,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,9253,18115,90522,26734,99179,525111,335174,955244,937556,675874,7751,224,6856,123,425
-1-5-7-11-25-35-55-77-175-275-385-1,925-3,181-15,905-22,267-34,991-79,525-111,335-174,955-244,937-556,675-874,775-1,224,685-6,123,425

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