Q: What are the factor combinations of the number 7,140,731?

 A:
Positive:   1 x 714073113 x 54928717 x 42004379 x 90389221 x 32311409 x 174591027 x 69531343 x 5317
Negative: -1 x -7140731-13 x -549287-17 x -420043-79 x -90389-221 x -32311-409 x -17459-1027 x -6953-1343 x -5317


How do I find the factor combinations of the number 7,140,731?

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 7,140,731, 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 7,140,731
-1 -7,140,731

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 7,140,731.

Example:
1 x 7,140,731 = 7,140,731
and
-1 x -7,140,731 = 7,140,731
Notice both answers equal 7,140,731

With that explanation out of the way, let's continue. Next, we take the number 7,140,731 and divide it by 2:

7,140,731 ÷ 2 = 3,570,365.5

If the quotient is a whole number, then 2 and 3,570,365.5 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 7,140,731
-1 -7,140,731

Now, we try dividing 7,140,731 by 3:

7,140,731 ÷ 3 = 2,380,243.6667

If the quotient is a whole number, then 3 and 2,380,243.6667 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 7,140,731
-1 -7,140,731

Let's try dividing by 4:

7,140,731 ÷ 4 = 1,785,182.75

If the quotient is a whole number, then 4 and 1,785,182.75 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 7,140,731
-1 7,140,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11317792214091,0271,3435,3176,95317,45932,31190,389420,043549,2877,140,731
-1-13-17-79-221-409-1,027-1,343-5,317-6,953-17,459-32,311-90,389-420,043-549,287-7,140,731

More Examples

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