Q: What are the factor combinations of the number 422,335,355?

 A:
Positive:   1 x 4223353555 x 8446707113 x 3248733565 x 6497467389 x 10856951945 x 2171395057 x 8351516703 x 25285
Negative: -1 x -422335355-5 x -84467071-13 x -32487335-65 x -6497467-389 x -1085695-1945 x -217139-5057 x -83515-16703 x -25285


How do I find the factor combinations of the number 422,335,355?

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 422,335,355, 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.

1 422,335,355
-1 -422,335,355

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 422,335,355.

Example:
1 x 422,335,355 = 422,335,355
and
-1 x -422,335,355 = 422,335,355
Notice both answers equal 422,335,355

With that explanation out of the way, let's continue. Next, we take the number 422,335,355 and divide it by 2:

422,335,355 ÷ 2 = 211,167,677.5

If the quotient is a whole number, then 2 and 211,167,677.5 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:

1 422,335,355
-1 -422,335,355

Now, we try dividing 422,335,355 by 3:

422,335,355 ÷ 3 = 140,778,451.6667

If the quotient is a whole number, then 3 and 140,778,451.6667 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:

1 422,335,355
-1 -422,335,355

Let's try dividing by 4:

422,335,355 ÷ 4 = 105,583,838.75

If the quotient is a whole number, then 4 and 105,583,838.75 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:

1 422,335,355
-1 422,335,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653891,9455,05716,70325,28583,515217,1391,085,6956,497,46732,487,33584,467,071422,335,355
-1-5-13-65-389-1,945-5,057-16,703-25,285-83,515-217,139-1,085,695-6,497,467-32,487,335-84,467,071-422,335,355

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