Q: What are the factor combinations of the number 156,134,465?

 A:
Positive:   1 x 1561344655 x 3122689323 x 6788455115 x 1357691233 x 6701051165 x 1340215359 x 291355827 x 26795
Negative: -1 x -156134465-5 x -31226893-23 x -6788455-115 x -1357691-233 x -670105-1165 x -134021-5359 x -29135-5827 x -26795


How do I find the factor combinations of the number 156,134,465?

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 156,134,465, 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.

1 156,134,465
-1 -156,134,465

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 156,134,465.

Example:
1 x 156,134,465 = 156,134,465
and
-1 x -156,134,465 = 156,134,465
Notice both answers equal 156,134,465

With that explanation out of the way, let's continue. Next, we take the number 156,134,465 and divide it by 2:

156,134,465 ÷ 2 = 78,067,232.5

If the quotient is a whole number, then 2 and 78,067,232.5 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:

1 156,134,465
-1 -156,134,465

Now, we try dividing 156,134,465 by 3:

156,134,465 ÷ 3 = 52,044,821.6667

If the quotient is a whole number, then 3 and 52,044,821.6667 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:

1 156,134,465
-1 -156,134,465

Let's try dividing by 4:

156,134,465 ÷ 4 = 39,033,616.25

If the quotient is a whole number, then 4 and 39,033,616.25 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:

1 156,134,465
-1 156,134,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152331,1655,3595,82726,79529,135134,021670,1051,357,6916,788,45531,226,893156,134,465
-1-5-23-115-233-1,165-5,359-5,827-26,795-29,135-134,021-670,105-1,357,691-6,788,455-31,226,893-156,134,465

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