Q: What are the factor combinations of the number 4,641,425?

 A:
Positive:   1 x 46414255 x 92828517 x 27302525 x 18565767 x 6927585 x 54605163 x 28475335 x 13855425 x 10921815 x 56951139 x 40751675 x 2771
Negative: -1 x -4641425-5 x -928285-17 x -273025-25 x -185657-67 x -69275-85 x -54605-163 x -28475-335 x -13855-425 x -10921-815 x -5695-1139 x -4075-1675 x -2771


How do I find the factor combinations of the number 4,641,425?

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 4,641,425, 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 4,641,425
-1 -4,641,425

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 4,641,425.

Example:
1 x 4,641,425 = 4,641,425
and
-1 x -4,641,425 = 4,641,425
Notice both answers equal 4,641,425

With that explanation out of the way, let's continue. Next, we take the number 4,641,425 and divide it by 2:

4,641,425 ÷ 2 = 2,320,712.5

If the quotient is a whole number, then 2 and 2,320,712.5 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 4,641,425
-1 -4,641,425

Now, we try dividing 4,641,425 by 3:

4,641,425 ÷ 3 = 1,547,141.6667

If the quotient is a whole number, then 3 and 1,547,141.6667 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 4,641,425
-1 -4,641,425

Let's try dividing by 4:

4,641,425 ÷ 4 = 1,160,356.25

If the quotient is a whole number, then 4 and 1,160,356.25 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 4,641,425
-1 4,641,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15172567851633354258151,1391,6752,7714,0755,69510,92113,85528,47554,60569,275185,657273,025928,2854,641,425
-1-5-17-25-67-85-163-335-425-815-1,139-1,675-2,771-4,075-5,695-10,921-13,855-28,475-54,605-69,275-185,657-273,025-928,285-4,641,425

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