Q: What are the factor combinations of the number 321,200,425?

 A:
Positive:   1 x 3212004255 x 642400857 x 4588577513 x 2470772525 x 1284801735 x 917715559 x 544407565 x 494154591 x 3529675175 x 1835431295 x 1088815325 x 988309413 x 777725455 x 705935767 x 4187751475 x 2177632065 x 1555452275 x 1411872393 x 1342253835 x 837555369 x 5982510325 x 3110911965 x 2684516751 x 19175
Negative: -1 x -321200425-5 x -64240085-7 x -45885775-13 x -24707725-25 x -12848017-35 x -9177155-59 x -5444075-65 x -4941545-91 x -3529675-175 x -1835431-295 x -1088815-325 x -988309-413 x -777725-455 x -705935-767 x -418775-1475 x -217763-2065 x -155545-2275 x -141187-2393 x -134225-3835 x -83755-5369 x -59825-10325 x -31109-11965 x -26845-16751 x -19175


How do I find the factor combinations of the number 321,200,425?

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 321,200,425, 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.

1 321,200,425
-1 -321,200,425

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 321,200,425.

Example:
1 x 321,200,425 = 321,200,425
and
-1 x -321,200,425 = 321,200,425
Notice both answers equal 321,200,425

With that explanation out of the way, let's continue. Next, we take the number 321,200,425 and divide it by 2:

321,200,425 ÷ 2 = 160,600,212.5

If the quotient is a whole number, then 2 and 160,600,212.5 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:

1 321,200,425
-1 -321,200,425

Now, we try dividing 321,200,425 by 3:

321,200,425 ÷ 3 = 107,066,808.3333

If the quotient is a whole number, then 3 and 107,066,808.3333 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:

1 321,200,425
-1 -321,200,425

Let's try dividing by 4:

321,200,425 ÷ 4 = 80,300,106.25

If the quotient is a whole number, then 4 and 80,300,106.25 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:

1 321,200,425
-1 321,200,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1571325355965911752953254134557671,4752,0652,2752,3933,8355,36910,32511,96516,75119,17526,84531,10959,82583,755134,225141,187155,545217,763418,775705,935777,725988,3091,088,8151,835,4313,529,6754,941,5455,444,0759,177,15512,848,01724,707,72545,885,77564,240,085321,200,425
-1-5-7-13-25-35-59-65-91-175-295-325-413-455-767-1,475-2,065-2,275-2,393-3,835-5,369-10,325-11,965-16,751-19,175-26,845-31,109-59,825-83,755-134,225-141,187-155,545-217,763-418,775-705,935-777,725-988,309-1,088,815-1,835,431-3,529,675-4,941,545-5,444,075-9,177,155-12,848,017-24,707,725-45,885,775-64,240,085-321,200,425

More Examples

Here are some more numbers to try:

321,200,423321,200,424321,200,426321,200,427
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