Q: What are the factor combinations of the number 425,550,349?

 A:
Positive:   1 x 4255503497 x 6079290749 x 868470197 x 4387117679 x 6267314753 x 89533
Negative: -1 x -425550349-7 x -60792907-49 x -8684701-97 x -4387117-679 x -626731-4753 x -89533


How do I find the factor combinations of the number 425,550,349?

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 425,550,349, 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.

1 425,550,349
-1 -425,550,349

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 425,550,349.

Example:
1 x 425,550,349 = 425,550,349
and
-1 x -425,550,349 = 425,550,349
Notice both answers equal 425,550,349

With that explanation out of the way, let's continue. Next, we take the number 425,550,349 and divide it by 2:

425,550,349 ÷ 2 = 212,775,174.5

If the quotient is a whole number, then 2 and 212,775,174.5 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:

1 425,550,349
-1 -425,550,349

Now, we try dividing 425,550,349 by 3:

425,550,349 ÷ 3 = 141,850,116.3333

If the quotient is a whole number, then 3 and 141,850,116.3333 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:

1 425,550,349
-1 -425,550,349

Let's try dividing by 4:

425,550,349 ÷ 4 = 106,387,587.25

If the quotient is a whole number, then 4 and 106,387,587.25 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:

1 425,550,349
-1 425,550,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1749976794,75389,533626,7314,387,1178,684,70160,792,907425,550,349
-1-7-49-97-679-4,753-89,533-626,731-4,387,117-8,684,701-60,792,907-425,550,349

More Examples

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