Q: What are the factor combinations of the number 542,242,145?

 A:
Positive:   1 x 5422421455 x 10844842929 x 18698005145 x 37396011867 x 2904352003 x 2707159335 x 5808710015 x 54143
Negative: -1 x -542242145-5 x -108448429-29 x -18698005-145 x -3739601-1867 x -290435-2003 x -270715-9335 x -58087-10015 x -54143


How do I find the factor combinations of the number 542,242,145?

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 542,242,145, 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.

1 542,242,145
-1 -542,242,145

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 542,242,145.

Example:
1 x 542,242,145 = 542,242,145
and
-1 x -542,242,145 = 542,242,145
Notice both answers equal 542,242,145

With that explanation out of the way, let's continue. Next, we take the number 542,242,145 and divide it by 2:

542,242,145 ÷ 2 = 271,121,072.5

If the quotient is a whole number, then 2 and 271,121,072.5 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:

1 542,242,145
-1 -542,242,145

Now, we try dividing 542,242,145 by 3:

542,242,145 ÷ 3 = 180,747,381.6667

If the quotient is a whole number, then 3 and 180,747,381.6667 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:

1 542,242,145
-1 -542,242,145

Let's try dividing by 4:

542,242,145 ÷ 4 = 135,560,536.25

If the quotient is a whole number, then 4 and 135,560,536.25 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:

1 542,242,145
-1 542,242,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451,8672,0039,33510,01554,14358,087270,715290,4353,739,60118,698,005108,448,429542,242,145
-1-5-29-145-1,867-2,003-9,335-10,015-54,143-58,087-270,715-290,435-3,739,601-18,698,005-108,448,429-542,242,145

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