Q: What are the factor combinations of the number 242,543,035?

 A:
Positive:   1 x 2425430355 x 485086077 x 3464900535 x 692980179 x 3070165395 x 614033553 x 4385952765 x 87719
Negative: -1 x -242543035-5 x -48508607-7 x -34649005-35 x -6929801-79 x -3070165-395 x -614033-553 x -438595-2765 x -87719


How do I find the factor combinations of the number 242,543,035?

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 242,543,035, 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.

1 242,543,035
-1 -242,543,035

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 242,543,035.

Example:
1 x 242,543,035 = 242,543,035
and
-1 x -242,543,035 = 242,543,035
Notice both answers equal 242,543,035

With that explanation out of the way, let's continue. Next, we take the number 242,543,035 and divide it by 2:

242,543,035 ÷ 2 = 121,271,517.5

If the quotient is a whole number, then 2 and 121,271,517.5 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:

1 242,543,035
-1 -242,543,035

Now, we try dividing 242,543,035 by 3:

242,543,035 ÷ 3 = 80,847,678.3333

If the quotient is a whole number, then 3 and 80,847,678.3333 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:

1 242,543,035
-1 -242,543,035

Let's try dividing by 4:

242,543,035 ÷ 4 = 60,635,758.75

If the quotient is a whole number, then 4 and 60,635,758.75 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:

1 242,543,035
-1 242,543,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,76587,719438,595614,0333,070,1656,929,80134,649,00548,508,607242,543,035
-1-5-7-35-79-395-553-2,765-87,719-438,595-614,033-3,070,165-6,929,801-34,649,005-48,508,607-242,543,035

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