Q: What are the factor combinations of the number 440,006,455?

 A:
Positive:   1 x 4400064555 x 880012917 x 6285806535 x 12571613457 x 9628152285 x 1925633199 x 13754515995 x 27509
Negative: -1 x -440006455-5 x -88001291-7 x -62858065-35 x -12571613-457 x -962815-2285 x -192563-3199 x -137545-15995 x -27509


How do I find the factor combinations of the number 440,006,455?

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 440,006,455, 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.

1 440,006,455
-1 -440,006,455

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 440,006,455.

Example:
1 x 440,006,455 = 440,006,455
and
-1 x -440,006,455 = 440,006,455
Notice both answers equal 440,006,455

With that explanation out of the way, let's continue. Next, we take the number 440,006,455 and divide it by 2:

440,006,455 ÷ 2 = 220,003,227.5

If the quotient is a whole number, then 2 and 220,003,227.5 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:

1 440,006,455
-1 -440,006,455

Now, we try dividing 440,006,455 by 3:

440,006,455 ÷ 3 = 146,668,818.3333

If the quotient is a whole number, then 3 and 146,668,818.3333 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:

1 440,006,455
-1 -440,006,455

Let's try dividing by 4:

440,006,455 ÷ 4 = 110,001,613.75

If the quotient is a whole number, then 4 and 110,001,613.75 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:

1 440,006,455
-1 440,006,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157354572,2853,19915,99527,509137,545192,563962,81512,571,61362,858,06588,001,291440,006,455
-1-5-7-35-457-2,285-3,199-15,995-27,509-137,545-192,563-962,815-12,571,613-62,858,065-88,001,291-440,006,455

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