Q: What are the factor combinations of the number 325,350,425?

 A:
Positive:   1 x 3253504255 x 6507008525 x 1301401731 x 10495175155 x 2099035197 x 1651525775 x 419807985 x 3303052131 x 1526754925 x 660616107 x 5327510655 x 30535
Negative: -1 x -325350425-5 x -65070085-25 x -13014017-31 x -10495175-155 x -2099035-197 x -1651525-775 x -419807-985 x -330305-2131 x -152675-4925 x -66061-6107 x -53275-10655 x -30535


How do I find the factor combinations of the number 325,350,425?

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 325,350,425, 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.

1 325,350,425
-1 -325,350,425

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 325,350,425.

Example:
1 x 325,350,425 = 325,350,425
and
-1 x -325,350,425 = 325,350,425
Notice both answers equal 325,350,425

With that explanation out of the way, let's continue. Next, we take the number 325,350,425 and divide it by 2:

325,350,425 ÷ 2 = 162,675,212.5

If the quotient is a whole number, then 2 and 162,675,212.5 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:

1 325,350,425
-1 -325,350,425

Now, we try dividing 325,350,425 by 3:

325,350,425 ÷ 3 = 108,450,141.6667

If the quotient is a whole number, then 3 and 108,450,141.6667 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:

1 325,350,425
-1 -325,350,425

Let's try dividing by 4:

325,350,425 ÷ 4 = 81,337,606.25

If the quotient is a whole number, then 4 and 81,337,606.25 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:

1 325,350,425
-1 325,350,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311551977759852,1314,9256,10710,65530,53553,27566,061152,675330,305419,8071,651,5252,099,03510,495,17513,014,01765,070,085325,350,425
-1-5-25-31-155-197-775-985-2,131-4,925-6,107-10,655-30,535-53,275-66,061-152,675-330,305-419,807-1,651,525-2,099,035-10,495,175-13,014,017-65,070,085-325,350,425

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