Q: What are the factor combinations of the number 6,137,425?

 A:
Positive:   1 x 61374255 x 12274857 x 87677517 x 36102525 x 24549735 x 17535585 x 72205119 x 51575175 x 35071425 x 14441595 x 103152063 x 2975
Negative: -1 x -6137425-5 x -1227485-7 x -876775-17 x -361025-25 x -245497-35 x -175355-85 x -72205-119 x -51575-175 x -35071-425 x -14441-595 x -10315-2063 x -2975


How do I find the factor combinations of the number 6,137,425?

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 6,137,425, 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 6,137,425
-1 -6,137,425

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 6,137,425.

Example:
1 x 6,137,425 = 6,137,425
and
-1 x -6,137,425 = 6,137,425
Notice both answers equal 6,137,425

With that explanation out of the way, let's continue. Next, we take the number 6,137,425 and divide it by 2:

6,137,425 ÷ 2 = 3,068,712.5

If the quotient is a whole number, then 2 and 3,068,712.5 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 6,137,425
-1 -6,137,425

Now, we try dividing 6,137,425 by 3:

6,137,425 ÷ 3 = 2,045,808.3333

If the quotient is a whole number, then 3 and 2,045,808.3333 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 6,137,425
-1 -6,137,425

Let's try dividing by 4:

6,137,425 ÷ 4 = 1,534,356.25

If the quotient is a whole number, then 4 and 1,534,356.25 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 6,137,425
-1 6,137,425
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,0632,97510,31514,44135,07151,57572,205175,355245,497361,025876,7751,227,4856,137,425
-1-5-7-17-25-35-85-119-175-425-595-2,063-2,975-10,315-14,441-35,071-51,575-72,205-175,355-245,497-361,025-876,775-1,227,485-6,137,425

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