Q: What are the factor combinations of the number 425,255,341?

 A:
Positive:   1 x 4252553417 x 6075076379 x 5382979553 x 768997701 x 6066411097 x 3876534907 x 866637679 x 55379
Negative: -1 x -425255341-7 x -60750763-79 x -5382979-553 x -768997-701 x -606641-1097 x -387653-4907 x -86663-7679 x -55379


How do I find the factor combinations of the number 425,255,341?

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 425,255,341, 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.

1 425,255,341
-1 -425,255,341

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 425,255,341.

Example:
1 x 425,255,341 = 425,255,341
and
-1 x -425,255,341 = 425,255,341
Notice both answers equal 425,255,341

With that explanation out of the way, let's continue. Next, we take the number 425,255,341 and divide it by 2:

425,255,341 ÷ 2 = 212,627,670.5

If the quotient is a whole number, then 2 and 212,627,670.5 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:

1 425,255,341
-1 -425,255,341

Now, we try dividing 425,255,341 by 3:

425,255,341 ÷ 3 = 141,751,780.3333

If the quotient is a whole number, then 3 and 141,751,780.3333 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:

1 425,255,341
-1 -425,255,341

Let's try dividing by 4:

425,255,341 ÷ 4 = 106,313,835.25

If the quotient is a whole number, then 4 and 106,313,835.25 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:

1 425,255,341
-1 425,255,341
Keep dividing by the next highest number until you cannot divide anymore.

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

17795537011,0974,9077,67955,37986,663387,653606,641768,9975,382,97960,750,763425,255,341
-1-7-79-553-701-1,097-4,907-7,679-55,379-86,663-387,653-606,641-768,997-5,382,979-60,750,763-425,255,341

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