Q: What are the factor combinations of the number 152,255,155?

 A:
Positive:   1 x 1522551555 x 3045103113 x 1171193565 x 234238767 x 2272465335 x 454493871 x 1748054355 x 34961
Negative: -1 x -152255155-5 x -30451031-13 x -11711935-65 x -2342387-67 x -2272465-335 x -454493-871 x -174805-4355 x -34961


How do I find the factor combinations of the number 152,255,155?

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 152,255,155, 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.

1 152,255,155
-1 -152,255,155

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 152,255,155.

Example:
1 x 152,255,155 = 152,255,155
and
-1 x -152,255,155 = 152,255,155
Notice both answers equal 152,255,155

With that explanation out of the way, let's continue. Next, we take the number 152,255,155 and divide it by 2:

152,255,155 ÷ 2 = 76,127,577.5

If the quotient is a whole number, then 2 and 76,127,577.5 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:

1 152,255,155
-1 -152,255,155

Now, we try dividing 152,255,155 by 3:

152,255,155 ÷ 3 = 50,751,718.3333

If the quotient is a whole number, then 3 and 50,751,718.3333 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:

1 152,255,155
-1 -152,255,155

Let's try dividing by 4:

152,255,155 ÷ 4 = 38,063,788.75

If the quotient is a whole number, then 4 and 38,063,788.75 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:

1 152,255,155
-1 152,255,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151365673358714,35534,961174,805454,4932,272,4652,342,38711,711,93530,451,031152,255,155
-1-5-13-65-67-335-871-4,355-34,961-174,805-454,493-2,272,465-2,342,387-11,711,935-30,451,031-152,255,155

More Examples

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