Q: What are the factor combinations of the number 156,377,023?

 A:
Positive:   1 x 15637702311 x 1421609323 x 679900173 x 2142151253 x 618091803 x 1947411679 x 931378467 x 18469
Negative: -1 x -156377023-11 x -14216093-23 x -6799001-73 x -2142151-253 x -618091-803 x -194741-1679 x -93137-8467 x -18469


How do I find the factor combinations of the number 156,377,023?

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 156,377,023, 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.

1 156,377,023
-1 -156,377,023

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 156,377,023.

Example:
1 x 156,377,023 = 156,377,023
and
-1 x -156,377,023 = 156,377,023
Notice both answers equal 156,377,023

With that explanation out of the way, let's continue. Next, we take the number 156,377,023 and divide it by 2:

156,377,023 ÷ 2 = 78,188,511.5

If the quotient is a whole number, then 2 and 78,188,511.5 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:

1 156,377,023
-1 -156,377,023

Now, we try dividing 156,377,023 by 3:

156,377,023 ÷ 3 = 52,125,674.3333

If the quotient is a whole number, then 3 and 52,125,674.3333 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:

1 156,377,023
-1 -156,377,023

Let's try dividing by 4:

156,377,023 ÷ 4 = 39,094,255.75

If the quotient is a whole number, then 4 and 39,094,255.75 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:

1 156,377,023
-1 156,377,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11123732538031,6798,46718,46993,137194,741618,0912,142,1516,799,00114,216,093156,377,023
-1-11-23-73-253-803-1,679-8,467-18,469-93,137-194,741-618,091-2,142,151-6,799,001-14,216,093-156,377,023

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