Q: What are the factor combinations of the number 483,478,507?

 A:
Positive:   1 x 48347850712503 x 38669
Negative: -1 x -483478507-12503 x -38669


How do I find the factor combinations of the number 483,478,507?

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 483,478,507, 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.

1 483,478,507
-1 -483,478,507

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 483,478,507.

Example:
1 x 483,478,507 = 483,478,507
and
-1 x -483,478,507 = 483,478,507
Notice both answers equal 483,478,507

With that explanation out of the way, let's continue. Next, we take the number 483,478,507 and divide it by 2:

483,478,507 ÷ 2 = 241,739,253.5

If the quotient is a whole number, then 2 and 241,739,253.5 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:

1 483,478,507
-1 -483,478,507

Now, we try dividing 483,478,507 by 3:

483,478,507 ÷ 3 = 161,159,502.3333

If the quotient is a whole number, then 3 and 161,159,502.3333 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:

1 483,478,507
-1 -483,478,507

Let's try dividing by 4:

483,478,507 ÷ 4 = 120,869,626.75

If the quotient is a whole number, then 4 and 120,869,626.75 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:

1 483,478,507
-1 483,478,507
Keep dividing by the next highest number until you cannot divide anymore.

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

112,50338,669483,478,507
-1-12,503-38,669-483,478,507

More Examples

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