Q: What are the factor combinations of the number 62,124,125?

 A:
Positive:   1 x 621241255 x 124248257 x 887487525 x 248496535 x 1774975125 x 496993175 x 354995875 x 70999
Negative: -1 x -62124125-5 x -12424825-7 x -8874875-25 x -2484965-35 x -1774975-125 x -496993-175 x -354995-875 x -70999


How do I find the factor combinations of the number 62,124,125?

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 62,124,125, 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 62,124,125
-1 -62,124,125

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 62,124,125.

Example:
1 x 62,124,125 = 62,124,125
and
-1 x -62,124,125 = 62,124,125
Notice both answers equal 62,124,125

With that explanation out of the way, let's continue. Next, we take the number 62,124,125 and divide it by 2:

62,124,125 ÷ 2 = 31,062,062.5

If the quotient is a whole number, then 2 and 31,062,062.5 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 62,124,125
-1 -62,124,125

Now, we try dividing 62,124,125 by 3:

62,124,125 ÷ 3 = 20,708,041.6667

If the quotient is a whole number, then 3 and 20,708,041.6667 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 62,124,125
-1 -62,124,125

Let's try dividing by 4:

62,124,125 ÷ 4 = 15,531,031.25

If the quotient is a whole number, then 4 and 15,531,031.25 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 62,124,125
-1 62,124,125
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587570,999354,995496,9931,774,9752,484,9658,874,87512,424,82562,124,125
-1-5-7-25-35-125-175-875-70,999-354,995-496,993-1,774,975-2,484,965-8,874,875-12,424,825-62,124,125

More Examples

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