Q: What are the factor combinations of the number 158,175,013?

 A:
Positive:   1 x 15817501361 x 259303373 x 21667814453 x 35521
Negative: -1 x -158175013-61 x -2593033-73 x -2166781-4453 x -35521


How do I find the factor combinations of the number 158,175,013?

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 158,175,013, 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.

1 158,175,013
-1 -158,175,013

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 158,175,013.

Example:
1 x 158,175,013 = 158,175,013
and
-1 x -158,175,013 = 158,175,013
Notice both answers equal 158,175,013

With that explanation out of the way, let's continue. Next, we take the number 158,175,013 and divide it by 2:

158,175,013 ÷ 2 = 79,087,506.5

If the quotient is a whole number, then 2 and 79,087,506.5 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:

1 158,175,013
-1 -158,175,013

Now, we try dividing 158,175,013 by 3:

158,175,013 ÷ 3 = 52,725,004.3333

If the quotient is a whole number, then 3 and 52,725,004.3333 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:

1 158,175,013
-1 -158,175,013

Let's try dividing by 4:

158,175,013 ÷ 4 = 39,543,753.25

If the quotient is a whole number, then 4 and 39,543,753.25 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:

1 158,175,013
-1 158,175,013
Keep dividing by the next highest number until you cannot divide anymore.

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

161734,45335,5212,166,7812,593,033158,175,013
-1-61-73-4,453-35,521-2,166,781-2,593,033-158,175,013

More Examples

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