Q: What are the factor combinations of the number 67,247,125?

 A:
Positive:   1 x 672471255 x 1344942511 x 611337525 x 268988555 x 1222675125 x 537977275 x 2445351375 x 48907
Negative: -1 x -67247125-5 x -13449425-11 x -6113375-25 x -2689885-55 x -1222675-125 x -537977-275 x -244535-1375 x -48907


How do I find the factor combinations of the number 67,247,125?

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 67,247,125, 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 67,247,125
-1 -67,247,125

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 67,247,125.

Example:
1 x 67,247,125 = 67,247,125
and
-1 x -67,247,125 = 67,247,125
Notice both answers equal 67,247,125

With that explanation out of the way, let's continue. Next, we take the number 67,247,125 and divide it by 2:

67,247,125 ÷ 2 = 33,623,562.5

If the quotient is a whole number, then 2 and 33,623,562.5 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 67,247,125
-1 -67,247,125

Now, we try dividing 67,247,125 by 3:

67,247,125 ÷ 3 = 22,415,708.3333

If the quotient is a whole number, then 3 and 22,415,708.3333 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 67,247,125
-1 -67,247,125

Let's try dividing by 4:

67,247,125 ÷ 4 = 16,811,781.25

If the quotient is a whole number, then 4 and 16,811,781.25 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 67,247,125
-1 67,247,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37548,907244,535537,9771,222,6752,689,8856,113,37513,449,42567,247,125
-1-5-11-25-55-125-275-1,375-48,907-244,535-537,977-1,222,675-2,689,885-6,113,375-13,449,425-67,247,125

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