Q: What are the factor combinations of the number 40,646,053?

 A:
Positive:   1 x 406460537 x 580657931 x 131116379 x 514507217 x 187309553 x 735012371 x 171432449 x 16597
Negative: -1 x -40646053-7 x -5806579-31 x -1311163-79 x -514507-217 x -187309-553 x -73501-2371 x -17143-2449 x -16597


How do I find the factor combinations of the number 40,646,053?

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 40,646,053, 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 40,646,053
-1 -40,646,053

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 40,646,053.

Example:
1 x 40,646,053 = 40,646,053
and
-1 x -40,646,053 = 40,646,053
Notice both answers equal 40,646,053

With that explanation out of the way, let's continue. Next, we take the number 40,646,053 and divide it by 2:

40,646,053 ÷ 2 = 20,323,026.5

If the quotient is a whole number, then 2 and 20,323,026.5 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 40,646,053
-1 -40,646,053

Now, we try dividing 40,646,053 by 3:

40,646,053 ÷ 3 = 13,548,684.3333

If the quotient is a whole number, then 3 and 13,548,684.3333 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 40,646,053
-1 -40,646,053

Let's try dividing by 4:

40,646,053 ÷ 4 = 10,161,513.25

If the quotient is a whole number, then 4 and 10,161,513.25 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 40,646,053
-1 40,646,053
Keep dividing by the next highest number until you cannot divide anymore.

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

1731792175532,3712,44916,59717,14373,501187,309514,5071,311,1635,806,57940,646,053
-1-7-31-79-217-553-2,371-2,449-16,597-17,143-73,501-187,309-514,507-1,311,163-5,806,579-40,646,053

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