Q: What are the factor combinations of the number 54,224,875?

 A:
Positive:   1 x 542248755 x 1084497525 x 2168995125 x 433799373 x 1453751163 x 466251865 x 290755815 x 9325
Negative: -1 x -54224875-5 x -10844975-25 x -2168995-125 x -433799-373 x -145375-1163 x -46625-1865 x -29075-5815 x -9325


How do I find the factor combinations of the number 54,224,875?

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 54,224,875, 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 54,224,875
-1 -54,224,875

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 54,224,875.

Example:
1 x 54,224,875 = 54,224,875
and
-1 x -54,224,875 = 54,224,875
Notice both answers equal 54,224,875

With that explanation out of the way, let's continue. Next, we take the number 54,224,875 and divide it by 2:

54,224,875 ÷ 2 = 27,112,437.5

If the quotient is a whole number, then 2 and 27,112,437.5 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 54,224,875
-1 -54,224,875

Now, we try dividing 54,224,875 by 3:

54,224,875 ÷ 3 = 18,074,958.3333

If the quotient is a whole number, then 3 and 18,074,958.3333 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 54,224,875
-1 -54,224,875

Let's try dividing by 4:

54,224,875 ÷ 4 = 13,556,218.75

If the quotient is a whole number, then 4 and 13,556,218.75 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 54,224,875
-1 54,224,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253731,1631,8655,8159,32529,07546,625145,375433,7992,168,99510,844,97554,224,875
-1-5-25-125-373-1,163-1,865-5,815-9,325-29,075-46,625-145,375-433,799-2,168,995-10,844,975-54,224,875

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