Q: What are the factor combinations of the number 253,684,871?

 A:
Positive:   1 x 25368487111 x 2306226123 x 1102977753 x 4786507253 x 1002707583 x 4351371219 x 20810913409 x 18919
Negative: -1 x -253684871-11 x -23062261-23 x -11029777-53 x -4786507-253 x -1002707-583 x -435137-1219 x -208109-13409 x -18919


How do I find the factor combinations of the number 253,684,871?

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 253,684,871, 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.

1 253,684,871
-1 -253,684,871

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 253,684,871.

Example:
1 x 253,684,871 = 253,684,871
and
-1 x -253,684,871 = 253,684,871
Notice both answers equal 253,684,871

With that explanation out of the way, let's continue. Next, we take the number 253,684,871 and divide it by 2:

253,684,871 ÷ 2 = 126,842,435.5

If the quotient is a whole number, then 2 and 126,842,435.5 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:

1 253,684,871
-1 -253,684,871

Now, we try dividing 253,684,871 by 3:

253,684,871 ÷ 3 = 84,561,623.6667

If the quotient is a whole number, then 3 and 84,561,623.6667 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:

1 253,684,871
-1 -253,684,871

Let's try dividing by 4:

253,684,871 ÷ 4 = 63,421,217.75

If the quotient is a whole number, then 4 and 63,421,217.75 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:

1 253,684,871
-1 253,684,871
Keep dividing by the next highest number until you cannot divide anymore.

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

11123532535831,21913,40918,919208,109435,1371,002,7074,786,50711,029,77723,062,261253,684,871
-1-11-23-53-253-583-1,219-13,409-18,919-208,109-435,137-1,002,707-4,786,507-11,029,777-23,062,261-253,684,871

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