Q: What are the factor combinations of the number 7,452,731?

 A:
Positive:   1 x 745273111 x 67752113 x 57328719 x 392249143 x 52117169 x 44099209 x 35659211 x 35321247 x 301731859 x 40092321 x 32112717 x 2743
Negative: -1 x -7452731-11 x -677521-13 x -573287-19 x -392249-143 x -52117-169 x -44099-209 x -35659-211 x -35321-247 x -30173-1859 x -4009-2321 x -3211-2717 x -2743


How do I find the factor combinations of the number 7,452,731?

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 7,452,731, 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 7,452,731
-1 -7,452,731

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 7,452,731.

Example:
1 x 7,452,731 = 7,452,731
and
-1 x -7,452,731 = 7,452,731
Notice both answers equal 7,452,731

With that explanation out of the way, let's continue. Next, we take the number 7,452,731 and divide it by 2:

7,452,731 ÷ 2 = 3,726,365.5

If the quotient is a whole number, then 2 and 3,726,365.5 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 7,452,731
-1 -7,452,731

Now, we try dividing 7,452,731 by 3:

7,452,731 ÷ 3 = 2,484,243.6667

If the quotient is a whole number, then 3 and 2,484,243.6667 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 7,452,731
-1 -7,452,731

Let's try dividing by 4:

7,452,731 ÷ 4 = 1,863,182.75

If the quotient is a whole number, then 4 and 1,863,182.75 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 7,452,731
-1 7,452,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191431692092112471,8592,3212,7172,7433,2114,00930,17335,32135,65944,09952,117392,249573,287677,5217,452,731
-1-11-13-19-143-169-209-211-247-1,859-2,321-2,717-2,743-3,211-4,009-30,173-35,321-35,659-44,099-52,117-392,249-573,287-677,521-7,452,731

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