Q: What are the factor combinations of the number 425,064,125?

 A:
Positive:   1 x 4250641255 x 8501282525 x 17002565125 x 34005131237 x 3436252749 x 1546256185 x 6872513745 x 30925
Negative: -1 x -425064125-5 x -85012825-25 x -17002565-125 x -3400513-1237 x -343625-2749 x -154625-6185 x -68725-13745 x -30925


How do I find the factor combinations of the number 425,064,125?

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 425,064,125, 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.

1 425,064,125
-1 -425,064,125

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 425,064,125.

Example:
1 x 425,064,125 = 425,064,125
and
-1 x -425,064,125 = 425,064,125
Notice both answers equal 425,064,125

With that explanation out of the way, let's continue. Next, we take the number 425,064,125 and divide it by 2:

425,064,125 ÷ 2 = 212,532,062.5

If the quotient is a whole number, then 2 and 212,532,062.5 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:

1 425,064,125
-1 -425,064,125

Now, we try dividing 425,064,125 by 3:

425,064,125 ÷ 3 = 141,688,041.6667

If the quotient is a whole number, then 3 and 141,688,041.6667 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:

1 425,064,125
-1 -425,064,125

Let's try dividing by 4:

425,064,125 ÷ 4 = 106,266,031.25

If the quotient is a whole number, then 4 and 106,266,031.25 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:

1 425,064,125
-1 425,064,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,2372,7496,18513,74530,92568,725154,625343,6253,400,51317,002,56585,012,825425,064,125
-1-5-25-125-1,237-2,749-6,185-13,745-30,925-68,725-154,625-343,625-3,400,513-17,002,565-85,012,825-425,064,125

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