Q: What are the factor combinations of the number 156,716,015?

 A:
Positive:   1 x 1567160155 x 3134320361 x 256911567 x 2339045305 x 513823335 x 4678094087 x 383457669 x 20435
Negative: -1 x -156716015-5 x -31343203-61 x -2569115-67 x -2339045-305 x -513823-335 x -467809-4087 x -38345-7669 x -20435


How do I find the factor combinations of the number 156,716,015?

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 156,716,015, 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.

1 156,716,015
-1 -156,716,015

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 156,716,015.

Example:
1 x 156,716,015 = 156,716,015
and
-1 x -156,716,015 = 156,716,015
Notice both answers equal 156,716,015

With that explanation out of the way, let's continue. Next, we take the number 156,716,015 and divide it by 2:

156,716,015 ÷ 2 = 78,358,007.5

If the quotient is a whole number, then 2 and 78,358,007.5 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:

1 156,716,015
-1 -156,716,015

Now, we try dividing 156,716,015 by 3:

156,716,015 ÷ 3 = 52,238,671.6667

If the quotient is a whole number, then 3 and 52,238,671.6667 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:

1 156,716,015
-1 -156,716,015

Let's try dividing by 4:

156,716,015 ÷ 4 = 39,179,003.75

If the quotient is a whole number, then 4 and 39,179,003.75 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:

1 156,716,015
-1 156,716,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1561673053354,0877,66920,43538,345467,809513,8232,339,0452,569,11531,343,203156,716,015
-1-5-61-67-305-335-4,087-7,669-20,435-38,345-467,809-513,823-2,339,045-2,569,115-31,343,203-156,716,015

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