Q: What are the factor combinations of the number 337,241,035?

 A:
Positive:   1 x 3372410355 x 6744820783 x 4063145307 x 1098505415 x 8126291535 x 2197012647 x 12740513235 x 25481
Negative: -1 x -337241035-5 x -67448207-83 x -4063145-307 x -1098505-415 x -812629-1535 x -219701-2647 x -127405-13235 x -25481


How do I find the factor combinations of the number 337,241,035?

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 337,241,035, 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.

1 337,241,035
-1 -337,241,035

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 337,241,035.

Example:
1 x 337,241,035 = 337,241,035
and
-1 x -337,241,035 = 337,241,035
Notice both answers equal 337,241,035

With that explanation out of the way, let's continue. Next, we take the number 337,241,035 and divide it by 2:

337,241,035 ÷ 2 = 168,620,517.5

If the quotient is a whole number, then 2 and 168,620,517.5 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:

1 337,241,035
-1 -337,241,035

Now, we try dividing 337,241,035 by 3:

337,241,035 ÷ 3 = 112,413,678.3333

If the quotient is a whole number, then 3 and 112,413,678.3333 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:

1 337,241,035
-1 -337,241,035

Let's try dividing by 4:

337,241,035 ÷ 4 = 84,310,258.75

If the quotient is a whole number, then 4 and 84,310,258.75 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:

1 337,241,035
-1 337,241,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15833074151,5352,64713,23525,481127,405219,701812,6291,098,5054,063,14567,448,207337,241,035
-1-5-83-307-415-1,535-2,647-13,235-25,481-127,405-219,701-812,629-1,098,505-4,063,145-67,448,207-337,241,035

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