Q: What are the factor combinations of the number 69,143,555?

 A:
Positive:   1 x 691435555 x 1382871113 x 531873565 x 1063747
Negative: -1 x -69143555-5 x -13828711-13 x -5318735-65 x -1063747


How do I find the factor combinations of the number 69,143,555?

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 69,143,555, 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 69,143,555
-1 -69,143,555

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 69,143,555.

Example:
1 x 69,143,555 = 69,143,555
and
-1 x -69,143,555 = 69,143,555
Notice both answers equal 69,143,555

With that explanation out of the way, let's continue. Next, we take the number 69,143,555 and divide it by 2:

69,143,555 ÷ 2 = 34,571,777.5

If the quotient is a whole number, then 2 and 34,571,777.5 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 69,143,555
-1 -69,143,555

Now, we try dividing 69,143,555 by 3:

69,143,555 ÷ 3 = 23,047,851.6667

If the quotient is a whole number, then 3 and 23,047,851.6667 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 69,143,555
-1 -69,143,555

Let's try dividing by 4:

69,143,555 ÷ 4 = 17,285,888.75

If the quotient is a whole number, then 4 and 17,285,888.75 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 69,143,555
-1 69,143,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,063,7475,318,73513,828,71169,143,555
-1-5-13-65-1,063,747-5,318,735-13,828,711-69,143,555

More Examples

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