Q: What are the factor combinations of the number 155,303,521?

 A:
Positive:   1 x 15530352123 x 675232731 x 500979167 x 2317963713 x 2178171541 x 1007812077 x 747733251 x 47771
Negative: -1 x -155303521-23 x -6752327-31 x -5009791-67 x -2317963-713 x -217817-1541 x -100781-2077 x -74773-3251 x -47771


How do I find the factor combinations of the number 155,303,521?

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 155,303,521, 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.

1 155,303,521
-1 -155,303,521

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 155,303,521.

Example:
1 x 155,303,521 = 155,303,521
and
-1 x -155,303,521 = 155,303,521
Notice both answers equal 155,303,521

With that explanation out of the way, let's continue. Next, we take the number 155,303,521 and divide it by 2:

155,303,521 ÷ 2 = 77,651,760.5

If the quotient is a whole number, then 2 and 77,651,760.5 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:

1 155,303,521
-1 -155,303,521

Now, we try dividing 155,303,521 by 3:

155,303,521 ÷ 3 = 51,767,840.3333

If the quotient is a whole number, then 3 and 51,767,840.3333 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:

1 155,303,521
-1 -155,303,521

Let's try dividing by 4:

155,303,521 ÷ 4 = 38,825,880.25

If the quotient is a whole number, then 4 and 38,825,880.25 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:

1 155,303,521
-1 155,303,521
Keep dividing by the next highest number until you cannot divide anymore.

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

12331677131,5412,0773,25147,77174,773100,781217,8172,317,9635,009,7916,752,327155,303,521
-1-23-31-67-713-1,541-2,077-3,251-47,771-74,773-100,781-217,817-2,317,963-5,009,791-6,752,327-155,303,521

More Examples

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