Q: What are the factor combinations of the number 69,269,135?

 A:
Positive:   1 x 692691355 x 1385382713 x 532839517 x 407465565 x 106567985 x 814931221 x 3134351105 x 62687
Negative: -1 x -69269135-5 x -13853827-13 x -5328395-17 x -4074655-65 x -1065679-85 x -814931-221 x -313435-1105 x -62687


How do I find the factor combinations of the number 69,269,135?

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 69,269,135, 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 69,269,135
-1 -69,269,135

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 69,269,135.

Example:
1 x 69,269,135 = 69,269,135
and
-1 x -69,269,135 = 69,269,135
Notice both answers equal 69,269,135

With that explanation out of the way, let's continue. Next, we take the number 69,269,135 and divide it by 2:

69,269,135 ÷ 2 = 34,634,567.5

If the quotient is a whole number, then 2 and 34,634,567.5 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 69,269,135
-1 -69,269,135

Now, we try dividing 69,269,135 by 3:

69,269,135 ÷ 3 = 23,089,711.6667

If the quotient is a whole number, then 3 and 23,089,711.6667 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 69,269,135
-1 -69,269,135

Let's try dividing by 4:

69,269,135 ÷ 4 = 17,317,283.75

If the quotient is a whole number, then 4 and 17,317,283.75 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 69,269,135
-1 69,269,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10562,687313,435814,9311,065,6794,074,6555,328,39513,853,82769,269,135
-1-5-13-17-65-85-221-1,105-62,687-313,435-814,931-1,065,679-4,074,655-5,328,395-13,853,827-69,269,135

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