Q: What are the factor combinations of the number 69,000,127?

 A:
Positive:   1 x 690001277 x 985716117 x 4058831107 x 644861119 x 579833749 x 921231819 x 379335419 x 12733
Negative: -1 x -69000127-7 x -9857161-17 x -4058831-107 x -644861-119 x -579833-749 x -92123-1819 x -37933-5419 x -12733


How do I find the factor combinations of the number 69,000,127?

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 69,000,127, 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 69,000,127
-1 -69,000,127

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 69,000,127.

Example:
1 x 69,000,127 = 69,000,127
and
-1 x -69,000,127 = 69,000,127
Notice both answers equal 69,000,127

With that explanation out of the way, let's continue. Next, we take the number 69,000,127 and divide it by 2:

69,000,127 ÷ 2 = 34,500,063.5

If the quotient is a whole number, then 2 and 34,500,063.5 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 69,000,127
-1 -69,000,127

Now, we try dividing 69,000,127 by 3:

69,000,127 ÷ 3 = 23,000,042.3333

If the quotient is a whole number, then 3 and 23,000,042.3333 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 69,000,127
-1 -69,000,127

Let's try dividing by 4:

69,000,127 ÷ 4 = 17,250,031.75

If the quotient is a whole number, then 4 and 17,250,031.75 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 69,000,127
-1 69,000,127
Keep dividing by the next highest number until you cannot divide anymore.

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

17171071197491,8195,41912,73337,93392,123579,833644,8614,058,8319,857,16169,000,127
-1-7-17-107-119-749-1,819-5,419-12,733-37,933-92,123-579,833-644,861-4,058,831-9,857,161-69,000,127

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