Q: What are the factor combinations of the number 54,442,531?

 A:
Positive:   1 x 5444253111 x 494932113 x 4187887143 x 380717317 x 1717431201 x 453313487 x 156134121 x 13211
Negative: -1 x -54442531-11 x -4949321-13 x -4187887-143 x -380717-317 x -171743-1201 x -45331-3487 x -15613-4121 x -13211


How do I find the factor combinations of the number 54,442,531?

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 54,442,531, 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 54,442,531
-1 -54,442,531

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 54,442,531.

Example:
1 x 54,442,531 = 54,442,531
and
-1 x -54,442,531 = 54,442,531
Notice both answers equal 54,442,531

With that explanation out of the way, let's continue. Next, we take the number 54,442,531 and divide it by 2:

54,442,531 ÷ 2 = 27,221,265.5

If the quotient is a whole number, then 2 and 27,221,265.5 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 54,442,531
-1 -54,442,531

Now, we try dividing 54,442,531 by 3:

54,442,531 ÷ 3 = 18,147,510.3333

If the quotient is a whole number, then 3 and 18,147,510.3333 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 54,442,531
-1 -54,442,531

Let's try dividing by 4:

54,442,531 ÷ 4 = 13,610,632.75

If the quotient is a whole number, then 4 and 13,610,632.75 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 54,442,531
-1 54,442,531
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433171,2013,4874,12113,21115,61345,331171,743380,7174,187,8874,949,32154,442,531
-1-11-13-143-317-1,201-3,487-4,121-13,211-15,613-45,331-171,743-380,717-4,187,887-4,949,321-54,442,531

More Examples

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