Q: What are the factor combinations of the number 8,307,425?

 A:
Positive:   1 x 83074255 x 16614857 x 118677525 x 33229735 x 23735537 x 224525175 x 47471185 x 44905259 x 32075925 x 89811283 x 64751295 x 6415
Negative: -1 x -8307425-5 x -1661485-7 x -1186775-25 x -332297-35 x -237355-37 x -224525-175 x -47471-185 x -44905-259 x -32075-925 x -8981-1283 x -6475-1295 x -6415


How do I find the factor combinations of the number 8,307,425?

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 8,307,425, 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 8,307,425
-1 -8,307,425

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 8,307,425.

Example:
1 x 8,307,425 = 8,307,425
and
-1 x -8,307,425 = 8,307,425
Notice both answers equal 8,307,425

With that explanation out of the way, let's continue. Next, we take the number 8,307,425 and divide it by 2:

8,307,425 ÷ 2 = 4,153,712.5

If the quotient is a whole number, then 2 and 4,153,712.5 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 8,307,425
-1 -8,307,425

Now, we try dividing 8,307,425 by 3:

8,307,425 ÷ 3 = 2,769,141.6667

If the quotient is a whole number, then 3 and 2,769,141.6667 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 8,307,425
-1 -8,307,425

Let's try dividing by 4:

8,307,425 ÷ 4 = 2,076,856.25

If the quotient is a whole number, then 4 and 2,076,856.25 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 8,307,425
-1 8,307,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371751852599251,2831,2956,4156,4758,98132,07544,90547,471224,525237,355332,2971,186,7751,661,4858,307,425
-1-5-7-25-35-37-175-185-259-925-1,283-1,295-6,415-6,475-8,981-32,075-44,905-47,471-224,525-237,355-332,297-1,186,775-1,661,485-8,307,425

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