Q: What are the factor combinations of the number 336,552,625?

 A:
Positive:   1 x 3365526255 x 6731052525 x 13462105125 x 2692421269 x 12511251345 x 2502256725 x 5004510009 x 33625
Negative: -1 x -336552625-5 x -67310525-25 x -13462105-125 x -2692421-269 x -1251125-1345 x -250225-6725 x -50045-10009 x -33625


How do I find the factor combinations of the number 336,552,625?

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 336,552,625, 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.

1 336,552,625
-1 -336,552,625

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 336,552,625.

Example:
1 x 336,552,625 = 336,552,625
and
-1 x -336,552,625 = 336,552,625
Notice both answers equal 336,552,625

With that explanation out of the way, let's continue. Next, we take the number 336,552,625 and divide it by 2:

336,552,625 ÷ 2 = 168,276,312.5

If the quotient is a whole number, then 2 and 168,276,312.5 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:

1 336,552,625
-1 -336,552,625

Now, we try dividing 336,552,625 by 3:

336,552,625 ÷ 3 = 112,184,208.3333

If the quotient is a whole number, then 3 and 112,184,208.3333 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:

1 336,552,625
-1 -336,552,625

Let's try dividing by 4:

336,552,625 ÷ 4 = 84,138,156.25

If the quotient is a whole number, then 4 and 84,138,156.25 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:

1 336,552,625
-1 336,552,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252691,3456,72510,00933,62550,045250,2251,251,1252,692,42113,462,10567,310,525336,552,625
-1-5-25-125-269-1,345-6,725-10,009-33,625-50,045-250,225-1,251,125-2,692,421-13,462,105-67,310,525-336,552,625

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