Q: What are the factor combinations of the number 513,683,423?

 A:
Positive:   1 x 51368342311 x 4669849331 x 16570433113 x 4545871341 x 15064031243 x 4132613503 x 14664113331 x 38533
Negative: -1 x -513683423-11 x -46698493-31 x -16570433-113 x -4545871-341 x -1506403-1243 x -413261-3503 x -146641-13331 x -38533


How do I find the factor combinations of the number 513,683,423?

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 513,683,423, 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.

1 513,683,423
-1 -513,683,423

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 513,683,423.

Example:
1 x 513,683,423 = 513,683,423
and
-1 x -513,683,423 = 513,683,423
Notice both answers equal 513,683,423

With that explanation out of the way, let's continue. Next, we take the number 513,683,423 and divide it by 2:

513,683,423 ÷ 2 = 256,841,711.5

If the quotient is a whole number, then 2 and 256,841,711.5 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:

1 513,683,423
-1 -513,683,423

Now, we try dividing 513,683,423 by 3:

513,683,423 ÷ 3 = 171,227,807.6667

If the quotient is a whole number, then 3 and 171,227,807.6667 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:

1 513,683,423
-1 -513,683,423

Let's try dividing by 4:

513,683,423 ÷ 4 = 128,420,855.75

If the quotient is a whole number, then 4 and 128,420,855.75 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:

1 513,683,423
-1 513,683,423
Keep dividing by the next highest number until you cannot divide anymore.

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

111311133411,2433,50313,33138,533146,641413,2611,506,4034,545,87116,570,43346,698,493513,683,423
-1-11-31-113-341-1,243-3,503-13,331-38,533-146,641-413,261-1,506,403-4,545,871-16,570,433-46,698,493-513,683,423

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