Q: What are the factor combinations of the number 513,843,365?

 A:
Positive:   1 x 5138433655 x 1027686737 x 7340619535 x 1468123941 x 12532765205 x 2506553287 x 17903951435 x 358079
Negative: -1 x -513843365-5 x -102768673-7 x -73406195-35 x -14681239-41 x -12532765-205 x -2506553-287 x -1790395-1435 x -358079


How do I find the factor combinations of the number 513,843,365?

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 513,843,365, 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.

1 513,843,365
-1 -513,843,365

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 513,843,365.

Example:
1 x 513,843,365 = 513,843,365
and
-1 x -513,843,365 = 513,843,365
Notice both answers equal 513,843,365

With that explanation out of the way, let's continue. Next, we take the number 513,843,365 and divide it by 2:

513,843,365 ÷ 2 = 256,921,682.5

If the quotient is a whole number, then 2 and 256,921,682.5 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:

1 513,843,365
-1 -513,843,365

Now, we try dividing 513,843,365 by 3:

513,843,365 ÷ 3 = 171,281,121.6667

If the quotient is a whole number, then 3 and 171,281,121.6667 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:

1 513,843,365
-1 -513,843,365

Let's try dividing by 4:

513,843,365 ÷ 4 = 128,460,841.25

If the quotient is a whole number, then 4 and 128,460,841.25 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:

1 513,843,365
-1 513,843,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,435358,0791,790,3952,506,55312,532,76514,681,23973,406,195102,768,673513,843,365
-1-5-7-35-41-205-287-1,435-358,079-1,790,395-2,506,553-12,532,765-14,681,239-73,406,195-102,768,673-513,843,365

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