Q: What are the factor combinations of the number 70,500,089?

 A:
Positive:   1 x 7050008911 x 640909919 x 371053171 x 992959209 x 337321781 x 902691349 x 522614751 x 14839
Negative: -1 x -70500089-11 x -6409099-19 x -3710531-71 x -992959-209 x -337321-781 x -90269-1349 x -52261-4751 x -14839


How do I find the factor combinations of the number 70,500,089?

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 70,500,089, 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 70,500,089
-1 -70,500,089

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 70,500,089.

Example:
1 x 70,500,089 = 70,500,089
and
-1 x -70,500,089 = 70,500,089
Notice both answers equal 70,500,089

With that explanation out of the way, let's continue. Next, we take the number 70,500,089 and divide it by 2:

70,500,089 ÷ 2 = 35,250,044.5

If the quotient is a whole number, then 2 and 35,250,044.5 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 70,500,089
-1 -70,500,089

Now, we try dividing 70,500,089 by 3:

70,500,089 ÷ 3 = 23,500,029.6667

If the quotient is a whole number, then 3 and 23,500,029.6667 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 70,500,089
-1 -70,500,089

Let's try dividing by 4:

70,500,089 ÷ 4 = 17,625,022.25

If the quotient is a whole number, then 4 and 17,625,022.25 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 70,500,089
-1 70,500,089
Keep dividing by the next highest number until you cannot divide anymore.

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

11119712097811,3494,75114,83952,26190,269337,321992,9593,710,5316,409,09970,500,089
-1-11-19-71-209-781-1,349-4,751-14,839-52,261-90,269-337,321-992,959-3,710,531-6,409,099-70,500,089

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