Q: What are the factor combinations of the number 70,009,291?

 A:
Positive:   1 x 7000929111 x 636448137 x 1892143407 x 1720131369 x 511394649 x 15059
Negative: -1 x -70009291-11 x -6364481-37 x -1892143-407 x -172013-1369 x -51139-4649 x -15059


How do I find the factor combinations of the number 70,009,291?

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 70,009,291, 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 70,009,291
-1 -70,009,291

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 70,009,291.

Example:
1 x 70,009,291 = 70,009,291
and
-1 x -70,009,291 = 70,009,291
Notice both answers equal 70,009,291

With that explanation out of the way, let's continue. Next, we take the number 70,009,291 and divide it by 2:

70,009,291 ÷ 2 = 35,004,645.5

If the quotient is a whole number, then 2 and 35,004,645.5 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 70,009,291
-1 -70,009,291

Now, we try dividing 70,009,291 by 3:

70,009,291 ÷ 3 = 23,336,430.3333

If the quotient is a whole number, then 3 and 23,336,430.3333 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 70,009,291
-1 -70,009,291

Let's try dividing by 4:

70,009,291 ÷ 4 = 17,502,322.75

If the quotient is a whole number, then 4 and 17,502,322.75 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 70,009,291
-1 70,009,291
Keep dividing by the next highest number until you cannot divide anymore.

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

111374071,3694,64915,05951,139172,0131,892,1436,364,48170,009,291
-1-11-37-407-1,369-4,649-15,059-51,139-172,013-1,892,143-6,364,481-70,009,291

More Examples

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