Q: What are the factor combinations of the number 602,232,157?

 A:
Positive:   1 x 60223215717 x 3542542143 x 14005399731 x 823847751 x 8019071097 x 54898112767 x 4717118649 x 32293
Negative: -1 x -602232157-17 x -35425421-43 x -14005399-731 x -823847-751 x -801907-1097 x -548981-12767 x -47171-18649 x -32293


How do I find the factor combinations of the number 602,232,157?

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 602,232,157, 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.

1 602,232,157
-1 -602,232,157

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 602,232,157.

Example:
1 x 602,232,157 = 602,232,157
and
-1 x -602,232,157 = 602,232,157
Notice both answers equal 602,232,157

With that explanation out of the way, let's continue. Next, we take the number 602,232,157 and divide it by 2:

602,232,157 ÷ 2 = 301,116,078.5

If the quotient is a whole number, then 2 and 301,116,078.5 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:

1 602,232,157
-1 -602,232,157

Now, we try dividing 602,232,157 by 3:

602,232,157 ÷ 3 = 200,744,052.3333

If the quotient is a whole number, then 3 and 200,744,052.3333 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:

1 602,232,157
-1 -602,232,157

Let's try dividing by 4:

602,232,157 ÷ 4 = 150,558,039.25

If the quotient is a whole number, then 4 and 150,558,039.25 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:

1 602,232,157
-1 602,232,157
Keep dividing by the next highest number until you cannot divide anymore.

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

117437317511,09712,76718,64932,29347,171548,981801,907823,84714,005,39935,425,421602,232,157
-1-17-43-731-751-1,097-12,767-18,649-32,293-47,171-548,981-801,907-823,847-14,005,399-35,425,421-602,232,157

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