Q: What are the factor combinations of the number 7,602,125?

 A:
Positive:   1 x 76021255 x 152042525 x 30408561 x 124625125 x 60817305 x 24925997 x 76251525 x 4985
Negative: -1 x -7602125-5 x -1520425-25 x -304085-61 x -124625-125 x -60817-305 x -24925-997 x -7625-1525 x -4985


How do I find the factor combinations of the number 7,602,125?

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 7,602,125, 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 7,602,125
-1 -7,602,125

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 7,602,125.

Example:
1 x 7,602,125 = 7,602,125
and
-1 x -7,602,125 = 7,602,125
Notice both answers equal 7,602,125

With that explanation out of the way, let's continue. Next, we take the number 7,602,125 and divide it by 2:

7,602,125 ÷ 2 = 3,801,062.5

If the quotient is a whole number, then 2 and 3,801,062.5 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 7,602,125
-1 -7,602,125

Now, we try dividing 7,602,125 by 3:

7,602,125 ÷ 3 = 2,534,041.6667

If the quotient is a whole number, then 3 and 2,534,041.6667 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 7,602,125
-1 -7,602,125

Let's try dividing by 4:

7,602,125 ÷ 4 = 1,900,531.25

If the quotient is a whole number, then 4 and 1,900,531.25 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 7,602,125
-1 7,602,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525611253059971,5254,9857,62524,92560,817124,625304,0851,520,4257,602,125
-1-5-25-61-125-305-997-1,525-4,985-7,625-24,925-60,817-124,625-304,085-1,520,425-7,602,125

More Examples

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