Q: What are the factor combinations of the number 152,377,127?

 A:
Positive:   1 x 1523771277 x 2176816183 x 1835869163 x 934829581 x 2622671141 x 1335471609 x 9470311263 x 13529
Negative: -1 x -152377127-7 x -21768161-83 x -1835869-163 x -934829-581 x -262267-1141 x -133547-1609 x -94703-11263 x -13529


How do I find the factor combinations of the number 152,377,127?

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 152,377,127, 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.

1 152,377,127
-1 -152,377,127

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 152,377,127.

Example:
1 x 152,377,127 = 152,377,127
and
-1 x -152,377,127 = 152,377,127
Notice both answers equal 152,377,127

With that explanation out of the way, let's continue. Next, we take the number 152,377,127 and divide it by 2:

152,377,127 ÷ 2 = 76,188,563.5

If the quotient is a whole number, then 2 and 76,188,563.5 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:

1 152,377,127
-1 -152,377,127

Now, we try dividing 152,377,127 by 3:

152,377,127 ÷ 3 = 50,792,375.6667

If the quotient is a whole number, then 3 and 50,792,375.6667 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:

1 152,377,127
-1 -152,377,127

Let's try dividing by 4:

152,377,127 ÷ 4 = 38,094,281.75

If the quotient is a whole number, then 4 and 38,094,281.75 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:

1 152,377,127
-1 152,377,127
Keep dividing by the next highest number until you cannot divide anymore.

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

17831635811,1411,60911,26313,52994,703133,547262,267934,8291,835,86921,768,161152,377,127
-1-7-83-163-581-1,141-1,609-11,263-13,529-94,703-133,547-262,267-934,829-1,835,869-21,768,161-152,377,127

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