Q: What are the factor combinations of the number 210,645,521?

 A:
Positive:   1 x 21064552117 x 1239091367 x 314396379 x 26663991139 x 1849391343 x 1568472341 x 899815293 x 39797
Negative: -1 x -210645521-17 x -12390913-67 x -3143963-79 x -2666399-1139 x -184939-1343 x -156847-2341 x -89981-5293 x -39797


How do I find the factor combinations of the number 210,645,521?

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 210,645,521, 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.

1 210,645,521
-1 -210,645,521

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 210,645,521.

Example:
1 x 210,645,521 = 210,645,521
and
-1 x -210,645,521 = 210,645,521
Notice both answers equal 210,645,521

With that explanation out of the way, let's continue. Next, we take the number 210,645,521 and divide it by 2:

210,645,521 ÷ 2 = 105,322,760.5

If the quotient is a whole number, then 2 and 105,322,760.5 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:

1 210,645,521
-1 -210,645,521

Now, we try dividing 210,645,521 by 3:

210,645,521 ÷ 3 = 70,215,173.6667

If the quotient is a whole number, then 3 and 70,215,173.6667 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:

1 210,645,521
-1 -210,645,521

Let's try dividing by 4:

210,645,521 ÷ 4 = 52,661,380.25

If the quotient is a whole number, then 4 and 52,661,380.25 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:

1 210,645,521
-1 210,645,521
Keep dividing by the next highest number until you cannot divide anymore.

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

11767791,1391,3432,3415,29339,79789,981156,847184,9392,666,3993,143,96312,390,913210,645,521
-1-17-67-79-1,139-1,343-2,341-5,293-39,797-89,981-156,847-184,939-2,666,399-3,143,963-12,390,913-210,645,521

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