Q: What are the factor combinations of the number 425,333,525?

 A:
Positive:   1 x 4253335255 x 8506670519 x 2238597525 x 1701334195 x 4477195475 x 895439547 x 7775751637 x 2598252735 x 1555158185 x 5196510393 x 4092513675 x 31103
Negative: -1 x -425333525-5 x -85066705-19 x -22385975-25 x -17013341-95 x -4477195-475 x -895439-547 x -777575-1637 x -259825-2735 x -155515-8185 x -51965-10393 x -40925-13675 x -31103


How do I find the factor combinations of the number 425,333,525?

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 425,333,525, 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.

1 425,333,525
-1 -425,333,525

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 425,333,525.

Example:
1 x 425,333,525 = 425,333,525
and
-1 x -425,333,525 = 425,333,525
Notice both answers equal 425,333,525

With that explanation out of the way, let's continue. Next, we take the number 425,333,525 and divide it by 2:

425,333,525 ÷ 2 = 212,666,762.5

If the quotient is a whole number, then 2 and 212,666,762.5 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:

1 425,333,525
-1 -425,333,525

Now, we try dividing 425,333,525 by 3:

425,333,525 ÷ 3 = 141,777,841.6667

If the quotient is a whole number, then 3 and 141,777,841.6667 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:

1 425,333,525
-1 -425,333,525

Let's try dividing by 4:

425,333,525 ÷ 4 = 106,333,381.25

If the quotient is a whole number, then 4 and 106,333,381.25 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:

1 425,333,525
-1 425,333,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151925954755471,6372,7358,18510,39313,67531,10340,92551,965155,515259,825777,575895,4394,477,19517,013,34122,385,97585,066,705425,333,525
-1-5-19-25-95-475-547-1,637-2,735-8,185-10,393-13,675-31,103-40,925-51,965-155,515-259,825-777,575-895,439-4,477,195-17,013,341-22,385,975-85,066,705-425,333,525

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