Q: What are the factor combinations of the number 155,411,321?

 A:
Positive:   1 x 15541132113 x 11954717149 x 10430291937 x 80233
Negative: -1 x -155411321-13 x -11954717-149 x -1043029-1937 x -80233


How do I find the factor combinations of the number 155,411,321?

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 155,411,321, 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.

1 155,411,321
-1 -155,411,321

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 155,411,321.

Example:
1 x 155,411,321 = 155,411,321
and
-1 x -155,411,321 = 155,411,321
Notice both answers equal 155,411,321

With that explanation out of the way, let's continue. Next, we take the number 155,411,321 and divide it by 2:

155,411,321 ÷ 2 = 77,705,660.5

If the quotient is a whole number, then 2 and 77,705,660.5 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:

1 155,411,321
-1 -155,411,321

Now, we try dividing 155,411,321 by 3:

155,411,321 ÷ 3 = 51,803,773.6667

If the quotient is a whole number, then 3 and 51,803,773.6667 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:

1 155,411,321
-1 -155,411,321

Let's try dividing by 4:

155,411,321 ÷ 4 = 38,852,830.25

If the quotient is a whole number, then 4 and 38,852,830.25 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:

1 155,411,321
-1 155,411,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1131491,93780,2331,043,02911,954,717155,411,321
-1-13-149-1,937-80,233-1,043,029-11,954,717-155,411,321

More Examples

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