Q: What are the factor combinations of the number 70,218,869?

 A:
Positive:   1 x 702188697 x 1003126761 x 1151129427 x 164447
Negative: -1 x -70218869-7 x -10031267-61 x -1151129-427 x -164447


How do I find the factor combinations of the number 70,218,869?

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 70,218,869, 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 70,218,869
-1 -70,218,869

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 70,218,869.

Example:
1 x 70,218,869 = 70,218,869
and
-1 x -70,218,869 = 70,218,869
Notice both answers equal 70,218,869

With that explanation out of the way, let's continue. Next, we take the number 70,218,869 and divide it by 2:

70,218,869 ÷ 2 = 35,109,434.5

If the quotient is a whole number, then 2 and 35,109,434.5 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 70,218,869
-1 -70,218,869

Now, we try dividing 70,218,869 by 3:

70,218,869 ÷ 3 = 23,406,289.6667

If the quotient is a whole number, then 3 and 23,406,289.6667 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 70,218,869
-1 -70,218,869

Let's try dividing by 4:

70,218,869 ÷ 4 = 17,554,717.25

If the quotient is a whole number, then 4 and 17,554,717.25 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 70,218,869
-1 70,218,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1761427164,4471,151,12910,031,26770,218,869
-1-7-61-427-164,447-1,151,129-10,031,267-70,218,869

More Examples

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