Q: What are the factor combinations of the number 7,371,485?

 A:
Positive:   1 x 73714855 x 147429711 x 67013555 x 134027101 x 72985505 x 145971111 x 66351327 x 5555
Negative: -1 x -7371485-5 x -1474297-11 x -670135-55 x -134027-101 x -72985-505 x -14597-1111 x -6635-1327 x -5555


How do I find the factor combinations of the number 7,371,485?

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 7,371,485, 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 7,371,485
-1 -7,371,485

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 7,371,485.

Example:
1 x 7,371,485 = 7,371,485
and
-1 x -7,371,485 = 7,371,485
Notice both answers equal 7,371,485

With that explanation out of the way, let's continue. Next, we take the number 7,371,485 and divide it by 2:

7,371,485 ÷ 2 = 3,685,742.5

If the quotient is a whole number, then 2 and 3,685,742.5 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 7,371,485
-1 -7,371,485

Now, we try dividing 7,371,485 by 3:

7,371,485 ÷ 3 = 2,457,161.6667

If the quotient is a whole number, then 3 and 2,457,161.6667 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 7,371,485
-1 -7,371,485

Let's try dividing by 4:

7,371,485 ÷ 4 = 1,842,871.25

If the quotient is a whole number, then 4 and 1,842,871.25 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 7,371,485
-1 7,371,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1111,3275,5556,63514,59772,985134,027670,1351,474,2977,371,485
-1-5-11-55-101-505-1,111-1,327-5,555-6,635-14,597-72,985-134,027-670,135-1,474,297-7,371,485

More Examples

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