Q: What are the factor combinations of the number 425,001,521?

 A:
Positive:   1 x 4250015217 x 6071450323 x 18478327161 x 2639761
Negative: -1 x -425001521-7 x -60714503-23 x -18478327-161 x -2639761


How do I find the factor combinations of the number 425,001,521?

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 425,001,521, 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.

1 425,001,521
-1 -425,001,521

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 425,001,521.

Example:
1 x 425,001,521 = 425,001,521
and
-1 x -425,001,521 = 425,001,521
Notice both answers equal 425,001,521

With that explanation out of the way, let's continue. Next, we take the number 425,001,521 and divide it by 2:

425,001,521 ÷ 2 = 212,500,760.5

If the quotient is a whole number, then 2 and 212,500,760.5 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:

1 425,001,521
-1 -425,001,521

Now, we try dividing 425,001,521 by 3:

425,001,521 ÷ 3 = 141,667,173.6667

If the quotient is a whole number, then 3 and 141,667,173.6667 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:

1 425,001,521
-1 -425,001,521

Let's try dividing by 4:

425,001,521 ÷ 4 = 106,250,380.25

If the quotient is a whole number, then 4 and 106,250,380.25 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:

1 425,001,521
-1 425,001,521
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612,639,76118,478,32760,714,503425,001,521
-1-7-23-161-2,639,761-18,478,327-60,714,503-425,001,521

More Examples

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