Q: What are the factor combinations of the number 762,187,429?

 A:
Positive:   1 x 76218742959 x 12918431107 x 7123247157 x 4854697769 x 9911416313 x 1207339263 x 8228316799 x 45371
Negative: -1 x -762187429-59 x -12918431-107 x -7123247-157 x -4854697-769 x -991141-6313 x -120733-9263 x -82283-16799 x -45371


How do I find the factor combinations of the number 762,187,429?

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 762,187,429, 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.

1 762,187,429
-1 -762,187,429

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 762,187,429.

Example:
1 x 762,187,429 = 762,187,429
and
-1 x -762,187,429 = 762,187,429
Notice both answers equal 762,187,429

With that explanation out of the way, let's continue. Next, we take the number 762,187,429 and divide it by 2:

762,187,429 ÷ 2 = 381,093,714.5

If the quotient is a whole number, then 2 and 381,093,714.5 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:

1 762,187,429
-1 -762,187,429

Now, we try dividing 762,187,429 by 3:

762,187,429 ÷ 3 = 254,062,476.3333

If the quotient is a whole number, then 3 and 254,062,476.3333 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:

1 762,187,429
-1 -762,187,429

Let's try dividing by 4:

762,187,429 ÷ 4 = 190,546,857.25

If the quotient is a whole number, then 4 and 190,546,857.25 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:

1 762,187,429
-1 762,187,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1591071577696,3139,26316,79945,37182,283120,733991,1414,854,6977,123,24712,918,431762,187,429
-1-59-107-157-769-6,313-9,263-16,799-45,371-82,283-120,733-991,141-4,854,697-7,123,247-12,918,431-762,187,429

More Examples

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