Q: What are the factor combinations of the number 545,522,425?

 A:
Positive:   1 x 5455224255 x 1091044857 x 7793177525 x 2182089735 x 1558635541 x 13305425175 x 3117271205 x 2661085287 x 19007751025 x 5322171435 x 3801557175 x 76031
Negative: -1 x -545522425-5 x -109104485-7 x -77931775-25 x -21820897-35 x -15586355-41 x -13305425-175 x -3117271-205 x -2661085-287 x -1900775-1025 x -532217-1435 x -380155-7175 x -76031


How do I find the factor combinations of the number 545,522,425?

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 545,522,425, 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.

1 545,522,425
-1 -545,522,425

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 545,522,425.

Example:
1 x 545,522,425 = 545,522,425
and
-1 x -545,522,425 = 545,522,425
Notice both answers equal 545,522,425

With that explanation out of the way, let's continue. Next, we take the number 545,522,425 and divide it by 2:

545,522,425 ÷ 2 = 272,761,212.5

If the quotient is a whole number, then 2 and 272,761,212.5 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:

1 545,522,425
-1 -545,522,425

Now, we try dividing 545,522,425 by 3:

545,522,425 ÷ 3 = 181,840,808.3333

If the quotient is a whole number, then 3 and 181,840,808.3333 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:

1 545,522,425
-1 -545,522,425

Let's try dividing by 4:

545,522,425 ÷ 4 = 136,380,606.25

If the quotient is a whole number, then 4 and 136,380,606.25 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:

1 545,522,425
-1 545,522,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535411752052871,0251,4357,17576,031380,155532,2171,900,7752,661,0853,117,27113,305,42515,586,35521,820,89777,931,775109,104,485545,522,425
-1-5-7-25-35-41-175-205-287-1,025-1,435-7,175-76,031-380,155-532,217-1,900,775-2,661,085-3,117,271-13,305,425-15,586,355-21,820,897-77,931,775-109,104,485-545,522,425

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