Q: What are the factor combinations of the number 345,425,509?

 A:
Positive:   1 x 34542550911 x 3140231913 x 26571193143 x 2415563709 x 4872013407 x 1013877799 x 442919217 x 37477
Negative: -1 x -345425509-11 x -31402319-13 x -26571193-143 x -2415563-709 x -487201-3407 x -101387-7799 x -44291-9217 x -37477


How do I find the factor combinations of the number 345,425,509?

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 345,425,509, 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.

1 345,425,509
-1 -345,425,509

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 345,425,509.

Example:
1 x 345,425,509 = 345,425,509
and
-1 x -345,425,509 = 345,425,509
Notice both answers equal 345,425,509

With that explanation out of the way, let's continue. Next, we take the number 345,425,509 and divide it by 2:

345,425,509 ÷ 2 = 172,712,754.5

If the quotient is a whole number, then 2 and 172,712,754.5 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:

1 345,425,509
-1 -345,425,509

Now, we try dividing 345,425,509 by 3:

345,425,509 ÷ 3 = 115,141,836.3333

If the quotient is a whole number, then 3 and 115,141,836.3333 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:

1 345,425,509
-1 -345,425,509

Let's try dividing by 4:

345,425,509 ÷ 4 = 86,356,377.25

If the quotient is a whole number, then 4 and 86,356,377.25 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:

1 345,425,509
-1 345,425,509
Keep dividing by the next highest number until you cannot divide anymore.

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

111131437093,4077,7999,21737,47744,291101,387487,2012,415,56326,571,19331,402,319345,425,509
-1-11-13-143-709-3,407-7,799-9,217-37,477-44,291-101,387-487,201-2,415,563-26,571,193-31,402,319-345,425,509

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