Q: What are the factor combinations of the number 425,350,141?

 A:
Positive:   1 x 42535014147 x 905000379 x 538417997 x 43850531181 x 3601613713 x 1145574559 x 932997663 x 55507
Negative: -1 x -425350141-47 x -9050003-79 x -5384179-97 x -4385053-1181 x -360161-3713 x -114557-4559 x -93299-7663 x -55507


How do I find the factor combinations of the number 425,350,141?

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 425,350,141, 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.

1 425,350,141
-1 -425,350,141

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 425,350,141.

Example:
1 x 425,350,141 = 425,350,141
and
-1 x -425,350,141 = 425,350,141
Notice both answers equal 425,350,141

With that explanation out of the way, let's continue. Next, we take the number 425,350,141 and divide it by 2:

425,350,141 ÷ 2 = 212,675,070.5

If the quotient is a whole number, then 2 and 212,675,070.5 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:

1 425,350,141
-1 -425,350,141

Now, we try dividing 425,350,141 by 3:

425,350,141 ÷ 3 = 141,783,380.3333

If the quotient is a whole number, then 3 and 141,783,380.3333 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:

1 425,350,141
-1 -425,350,141

Let's try dividing by 4:

425,350,141 ÷ 4 = 106,337,535.25

If the quotient is a whole number, then 4 and 106,337,535.25 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:

1 425,350,141
-1 425,350,141
Keep dividing by the next highest number until you cannot divide anymore.

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

14779971,1813,7134,5597,66355,50793,299114,557360,1614,385,0535,384,1799,050,003425,350,141
-1-47-79-97-1,181-3,713-4,559-7,663-55,507-93,299-114,557-360,161-4,385,053-5,384,179-9,050,003-425,350,141

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