Q: What are the factor combinations of the number 602,741,363?

 A:
Positive:   1 x 6027413637 x 8610590943 x 1401724173 x 8256731301 x 2002463511 x 11795333139 x 19201721973 x 27431
Negative: -1 x -602741363-7 x -86105909-43 x -14017241-73 x -8256731-301 x -2002463-511 x -1179533-3139 x -192017-21973 x -27431


How do I find the factor combinations of the number 602,741,363?

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 602,741,363, 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.

1 602,741,363
-1 -602,741,363

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 602,741,363.

Example:
1 x 602,741,363 = 602,741,363
and
-1 x -602,741,363 = 602,741,363
Notice both answers equal 602,741,363

With that explanation out of the way, let's continue. Next, we take the number 602,741,363 and divide it by 2:

602,741,363 ÷ 2 = 301,370,681.5

If the quotient is a whole number, then 2 and 301,370,681.5 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:

1 602,741,363
-1 -602,741,363

Now, we try dividing 602,741,363 by 3:

602,741,363 ÷ 3 = 200,913,787.6667

If the quotient is a whole number, then 3 and 200,913,787.6667 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:

1 602,741,363
-1 -602,741,363

Let's try dividing by 4:

602,741,363 ÷ 4 = 150,685,340.75

If the quotient is a whole number, then 4 and 150,685,340.75 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:

1 602,741,363
-1 602,741,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1743733015113,13921,97327,431192,0171,179,5332,002,4638,256,73114,017,24186,105,909602,741,363
-1-7-43-73-301-511-3,139-21,973-27,431-192,017-1,179,533-2,002,463-8,256,731-14,017,241-86,105,909-602,741,363

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