Q: What are the factor combinations of the number 260,425,385?

 A:
Positive:   1 x 2604253855 x 5208507711 x 2367503555 x 47350071523 x 1709953109 x 837657615 x 3419915545 x 16753
Negative: -1 x -260425385-5 x -52085077-11 x -23675035-55 x -4735007-1523 x -170995-3109 x -83765-7615 x -34199-15545 x -16753


How do I find the factor combinations of the number 260,425,385?

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 260,425,385, 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.

1 260,425,385
-1 -260,425,385

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 260,425,385.

Example:
1 x 260,425,385 = 260,425,385
and
-1 x -260,425,385 = 260,425,385
Notice both answers equal 260,425,385

With that explanation out of the way, let's continue. Next, we take the number 260,425,385 and divide it by 2:

260,425,385 ÷ 2 = 130,212,692.5

If the quotient is a whole number, then 2 and 130,212,692.5 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:

1 260,425,385
-1 -260,425,385

Now, we try dividing 260,425,385 by 3:

260,425,385 ÷ 3 = 86,808,461.6667

If the quotient is a whole number, then 3 and 86,808,461.6667 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:

1 260,425,385
-1 -260,425,385

Let's try dividing by 4:

260,425,385 ÷ 4 = 65,106,346.25

If the quotient is a whole number, then 4 and 65,106,346.25 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:

1 260,425,385
-1 260,425,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,5233,1097,61515,54516,75334,19983,765170,9954,735,00723,675,03552,085,077260,425,385
-1-5-11-55-1,523-3,109-7,615-15,545-16,753-34,199-83,765-170,995-4,735,007-23,675,035-52,085,077-260,425,385

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