Q: What are the factor combinations of the number 423,021,335?

 A:
Positive:   1 x 4230213355 x 8460426711 x 3845648555 x 7691297607 x 6969053035 x 1393816677 x 6335512671 x 33385
Negative: -1 x -423021335-5 x -84604267-11 x -38456485-55 x -7691297-607 x -696905-3035 x -139381-6677 x -63355-12671 x -33385


How do I find the factor combinations of the number 423,021,335?

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 423,021,335, 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.

1 423,021,335
-1 -423,021,335

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 423,021,335.

Example:
1 x 423,021,335 = 423,021,335
and
-1 x -423,021,335 = 423,021,335
Notice both answers equal 423,021,335

With that explanation out of the way, let's continue. Next, we take the number 423,021,335 and divide it by 2:

423,021,335 ÷ 2 = 211,510,667.5

If the quotient is a whole number, then 2 and 211,510,667.5 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:

1 423,021,335
-1 -423,021,335

Now, we try dividing 423,021,335 by 3:

423,021,335 ÷ 3 = 141,007,111.6667

If the quotient is a whole number, then 3 and 141,007,111.6667 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:

1 423,021,335
-1 -423,021,335

Let's try dividing by 4:

423,021,335 ÷ 4 = 105,755,333.75

If the quotient is a whole number, then 4 and 105,755,333.75 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:

1 423,021,335
-1 423,021,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556073,0356,67712,67133,38563,355139,381696,9057,691,29738,456,48584,604,267423,021,335
-1-5-11-55-607-3,035-6,677-12,671-33,385-63,355-139,381-696,905-7,691,297-38,456,485-84,604,267-423,021,335

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