Q: What are the factor combinations of the number 158,236,765?

 A:
Positive:   1 x 1582367655 x 3164735317 x 930804585 x 18616091097 x 1442451697 x 932455485 x 288498485 x 18649
Negative: -1 x -158236765-5 x -31647353-17 x -9308045-85 x -1861609-1097 x -144245-1697 x -93245-5485 x -28849-8485 x -18649


How do I find the factor combinations of the number 158,236,765?

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 158,236,765, 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.

1 158,236,765
-1 -158,236,765

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 158,236,765.

Example:
1 x 158,236,765 = 158,236,765
and
-1 x -158,236,765 = 158,236,765
Notice both answers equal 158,236,765

With that explanation out of the way, let's continue. Next, we take the number 158,236,765 and divide it by 2:

158,236,765 ÷ 2 = 79,118,382.5

If the quotient is a whole number, then 2 and 79,118,382.5 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:

1 158,236,765
-1 -158,236,765

Now, we try dividing 158,236,765 by 3:

158,236,765 ÷ 3 = 52,745,588.3333

If the quotient is a whole number, then 3 and 52,745,588.3333 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:

1 158,236,765
-1 -158,236,765

Let's try dividing by 4:

158,236,765 ÷ 4 = 39,559,191.25

If the quotient is a whole number, then 4 and 39,559,191.25 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:

1 158,236,765
-1 158,236,765
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,0971,6975,4858,48518,64928,84993,245144,2451,861,6099,308,04531,647,353158,236,765
-1-5-17-85-1,097-1,697-5,485-8,485-18,649-28,849-93,245-144,245-1,861,609-9,308,045-31,647,353-158,236,765

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