Q: What are the factor combinations of the number 513,430,603?

 A:
Positive:   1 x 5134306037 x 7334722997 x 5293099163 x 3149881679 x 7561571141 x 4499834639 x 11067715811 x 32473
Negative: -1 x -513430603-7 x -73347229-97 x -5293099-163 x -3149881-679 x -756157-1141 x -449983-4639 x -110677-15811 x -32473


How do I find the factor combinations of the number 513,430,603?

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 513,430,603, 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.

1 513,430,603
-1 -513,430,603

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 513,430,603.

Example:
1 x 513,430,603 = 513,430,603
and
-1 x -513,430,603 = 513,430,603
Notice both answers equal 513,430,603

With that explanation out of the way, let's continue. Next, we take the number 513,430,603 and divide it by 2:

513,430,603 ÷ 2 = 256,715,301.5

If the quotient is a whole number, then 2 and 256,715,301.5 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:

1 513,430,603
-1 -513,430,603

Now, we try dividing 513,430,603 by 3:

513,430,603 ÷ 3 = 171,143,534.3333

If the quotient is a whole number, then 3 and 171,143,534.3333 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:

1 513,430,603
-1 -513,430,603

Let's try dividing by 4:

513,430,603 ÷ 4 = 128,357,650.75

If the quotient is a whole number, then 4 and 128,357,650.75 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:

1 513,430,603
-1 513,430,603
Keep dividing by the next highest number until you cannot divide anymore.

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

17971636791,1414,63915,81132,473110,677449,983756,1573,149,8815,293,09973,347,229513,430,603
-1-7-97-163-679-1,141-4,639-15,811-32,473-110,677-449,983-756,157-3,149,881-5,293,099-73,347,229-513,430,603

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