Q: What are the factor combinations of the number 251,720,155?

 A:
Positive:   1 x 2517201555 x 5034403131 x 8120005103 x 2443885155 x 1624001515 x 4887773193 x 7883515767 x 15965
Negative: -1 x -251720155-5 x -50344031-31 x -8120005-103 x -2443885-155 x -1624001-515 x -488777-3193 x -78835-15767 x -15965


How do I find the factor combinations of the number 251,720,155?

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 251,720,155, 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.

1 251,720,155
-1 -251,720,155

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 251,720,155.

Example:
1 x 251,720,155 = 251,720,155
and
-1 x -251,720,155 = 251,720,155
Notice both answers equal 251,720,155

With that explanation out of the way, let's continue. Next, we take the number 251,720,155 and divide it by 2:

251,720,155 ÷ 2 = 125,860,077.5

If the quotient is a whole number, then 2 and 125,860,077.5 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:

1 251,720,155
-1 -251,720,155

Now, we try dividing 251,720,155 by 3:

251,720,155 ÷ 3 = 83,906,718.3333

If the quotient is a whole number, then 3 and 83,906,718.3333 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:

1 251,720,155
-1 -251,720,155

Let's try dividing by 4:

251,720,155 ÷ 4 = 62,930,038.75

If the quotient is a whole number, then 4 and 62,930,038.75 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:

1 251,720,155
-1 251,720,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15311031555153,19315,76715,96578,835488,7771,624,0012,443,8858,120,00550,344,031251,720,155
-1-5-31-103-155-515-3,193-15,767-15,965-78,835-488,777-1,624,001-2,443,885-8,120,005-50,344,031-251,720,155

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