Q: What are the factor combinations of the number 287,425,487?

 A:
Positive:   1 x 287425487173 x 1661419389 x 7388834271 x 67297
Negative: -1 x -287425487-173 x -1661419-389 x -738883-4271 x -67297


How do I find the factor combinations of the number 287,425,487?

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 287,425,487, 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.

1 287,425,487
-1 -287,425,487

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 287,425,487.

Example:
1 x 287,425,487 = 287,425,487
and
-1 x -287,425,487 = 287,425,487
Notice both answers equal 287,425,487

With that explanation out of the way, let's continue. Next, we take the number 287,425,487 and divide it by 2:

287,425,487 ÷ 2 = 143,712,743.5

If the quotient is a whole number, then 2 and 143,712,743.5 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:

1 287,425,487
-1 -287,425,487

Now, we try dividing 287,425,487 by 3:

287,425,487 ÷ 3 = 95,808,495.6667

If the quotient is a whole number, then 3 and 95,808,495.6667 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:

1 287,425,487
-1 -287,425,487

Let's try dividing by 4:

287,425,487 ÷ 4 = 71,856,371.75

If the quotient is a whole number, then 4 and 71,856,371.75 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:

1 287,425,487
-1 287,425,487
Keep dividing by the next highest number until you cannot divide anymore.

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

11733894,27167,297738,8831,661,419287,425,487
-1-173-389-4,271-67,297-738,883-1,661,419-287,425,487

More Examples

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