Q: What are the factor combinations of the number 54,324,745?

 A:
Positive:   1 x 543247455 x 1086494979 x 68765583 x 654515395 x 137531415 x 1309031657 x 327856557 x 8285
Negative: -1 x -54324745-5 x -10864949-79 x -687655-83 x -654515-395 x -137531-415 x -130903-1657 x -32785-6557 x -8285


How do I find the factor combinations of the number 54,324,745?

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 54,324,745, 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 54,324,745
-1 -54,324,745

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 54,324,745.

Example:
1 x 54,324,745 = 54,324,745
and
-1 x -54,324,745 = 54,324,745
Notice both answers equal 54,324,745

With that explanation out of the way, let's continue. Next, we take the number 54,324,745 and divide it by 2:

54,324,745 ÷ 2 = 27,162,372.5

If the quotient is a whole number, then 2 and 27,162,372.5 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 54,324,745
-1 -54,324,745

Now, we try dividing 54,324,745 by 3:

54,324,745 ÷ 3 = 18,108,248.3333

If the quotient is a whole number, then 3 and 18,108,248.3333 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 54,324,745
-1 -54,324,745

Let's try dividing by 4:

54,324,745 ÷ 4 = 13,581,186.25

If the quotient is a whole number, then 4 and 13,581,186.25 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 54,324,745
-1 54,324,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1579833954151,6576,5578,28532,785130,903137,531654,515687,65510,864,94954,324,745
-1-5-79-83-395-415-1,657-6,557-8,285-32,785-130,903-137,531-654,515-687,655-10,864,949-54,324,745

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