Q: What are the factor combinations of the number 70,231,879?

 A:
Positive:   1 x 7023187917 x 413128767 x 1048237197 x 356507313 x 2243831139 x 616613349 x 209715321 x 13199
Negative: -1 x -70231879-17 x -4131287-67 x -1048237-197 x -356507-313 x -224383-1139 x -61661-3349 x -20971-5321 x -13199


How do I find the factor combinations of the number 70,231,879?

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 70,231,879, 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 70,231,879
-1 -70,231,879

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 70,231,879.

Example:
1 x 70,231,879 = 70,231,879
and
-1 x -70,231,879 = 70,231,879
Notice both answers equal 70,231,879

With that explanation out of the way, let's continue. Next, we take the number 70,231,879 and divide it by 2:

70,231,879 ÷ 2 = 35,115,939.5

If the quotient is a whole number, then 2 and 35,115,939.5 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 70,231,879
-1 -70,231,879

Now, we try dividing 70,231,879 by 3:

70,231,879 ÷ 3 = 23,410,626.3333

If the quotient is a whole number, then 3 and 23,410,626.3333 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 70,231,879
-1 -70,231,879

Let's try dividing by 4:

70,231,879 ÷ 4 = 17,557,969.75

If the quotient is a whole number, then 4 and 17,557,969.75 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 70,231,879
-1 70,231,879
Keep dividing by the next highest number until you cannot divide anymore.

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

117671973131,1393,3495,32113,19920,97161,661224,383356,5071,048,2374,131,28770,231,879
-1-17-67-197-313-1,139-3,349-5,321-13,199-20,971-61,661-224,383-356,507-1,048,237-4,131,287-70,231,879

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