Q: What are the factor combinations of the number 425,213,131?

 A:
Positive:   1 x 4252131317 x 6074473349 x 8677819101 x 4210031151 x 2815981569 x 747299707 x 6014331057 x 4022833983 x 1067574949 x 859197399 x 5746915251 x 27881
Negative: -1 x -425213131-7 x -60744733-49 x -8677819-101 x -4210031-151 x -2815981-569 x -747299-707 x -601433-1057 x -402283-3983 x -106757-4949 x -85919-7399 x -57469-15251 x -27881


How do I find the factor combinations of the number 425,213,131?

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 425,213,131, 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.

1 425,213,131
-1 -425,213,131

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 425,213,131.

Example:
1 x 425,213,131 = 425,213,131
and
-1 x -425,213,131 = 425,213,131
Notice both answers equal 425,213,131

With that explanation out of the way, let's continue. Next, we take the number 425,213,131 and divide it by 2:

425,213,131 ÷ 2 = 212,606,565.5

If the quotient is a whole number, then 2 and 212,606,565.5 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:

1 425,213,131
-1 -425,213,131

Now, we try dividing 425,213,131 by 3:

425,213,131 ÷ 3 = 141,737,710.3333

If the quotient is a whole number, then 3 and 141,737,710.3333 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:

1 425,213,131
-1 -425,213,131

Let's try dividing by 4:

425,213,131 ÷ 4 = 106,303,282.75

If the quotient is a whole number, then 4 and 106,303,282.75 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:

1 425,213,131
-1 425,213,131
Keep dividing by the next highest number until you cannot divide anymore.

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

17491011515697071,0573,9834,9497,39915,25127,88157,46985,919106,757402,283601,433747,2992,815,9814,210,0318,677,81960,744,733425,213,131
-1-7-49-101-151-569-707-1,057-3,983-4,949-7,399-15,251-27,881-57,469-85,919-106,757-402,283-601,433-747,299-2,815,981-4,210,031-8,677,819-60,744,733-425,213,131

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