Q: What are the factor combinations of the number 70,122,031?

 A:
Positive:   1 x 701220317 x 1001743331 x 226200159 x 1188509217 x 323143413 x 1697871829 x 383395477 x 12803
Negative: -1 x -70122031-7 x -10017433-31 x -2262001-59 x -1188509-217 x -323143-413 x -169787-1829 x -38339-5477 x -12803


How do I find the factor combinations of the number 70,122,031?

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 70,122,031, 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 70,122,031
-1 -70,122,031

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 70,122,031.

Example:
1 x 70,122,031 = 70,122,031
and
-1 x -70,122,031 = 70,122,031
Notice both answers equal 70,122,031

With that explanation out of the way, let's continue. Next, we take the number 70,122,031 and divide it by 2:

70,122,031 ÷ 2 = 35,061,015.5

If the quotient is a whole number, then 2 and 35,061,015.5 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 70,122,031
-1 -70,122,031

Now, we try dividing 70,122,031 by 3:

70,122,031 ÷ 3 = 23,374,010.3333

If the quotient is a whole number, then 3 and 23,374,010.3333 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 70,122,031
-1 -70,122,031

Let's try dividing by 4:

70,122,031 ÷ 4 = 17,530,507.75

If the quotient is a whole number, then 4 and 17,530,507.75 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 70,122,031
-1 70,122,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1731592174131,8295,47712,80338,339169,787323,1431,188,5092,262,00110,017,43370,122,031
-1-7-31-59-217-413-1,829-5,477-12,803-38,339-169,787-323,143-1,188,509-2,262,001-10,017,433-70,122,031

More Examples

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