Q: What are the factor combinations of the number 7,314,625?

 A:
Positive:   1 x 73146255 x 146292525 x 292585125 x 58517163 x 44875359 x 20375815 x 89751795 x 4075
Negative: -1 x -7314625-5 x -1462925-25 x -292585-125 x -58517-163 x -44875-359 x -20375-815 x -8975-1795 x -4075


How do I find the factor combinations of the number 7,314,625?

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 7,314,625, 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 7,314,625
-1 -7,314,625

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 7,314,625.

Example:
1 x 7,314,625 = 7,314,625
and
-1 x -7,314,625 = 7,314,625
Notice both answers equal 7,314,625

With that explanation out of the way, let's continue. Next, we take the number 7,314,625 and divide it by 2:

7,314,625 ÷ 2 = 3,657,312.5

If the quotient is a whole number, then 2 and 3,657,312.5 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 7,314,625
-1 -7,314,625

Now, we try dividing 7,314,625 by 3:

7,314,625 ÷ 3 = 2,438,208.3333

If the quotient is a whole number, then 3 and 2,438,208.3333 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 7,314,625
-1 -7,314,625

Let's try dividing by 4:

7,314,625 ÷ 4 = 1,828,656.25

If the quotient is a whole number, then 4 and 1,828,656.25 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 7,314,625
-1 7,314,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251633598151,7954,0758,97520,37544,87558,517292,5851,462,9257,314,625
-1-5-25-125-163-359-815-1,795-4,075-8,975-20,375-44,875-58,517-292,585-1,462,925-7,314,625

More Examples

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