Q: What are the factor combinations of the number 31,342,145?

 A:
Positive:   1 x 313421455 x 626842937 x 847085185 x 169417191 x 164095887 x 35335955 x 328194435 x 7067
Negative: -1 x -31342145-5 x -6268429-37 x -847085-185 x -169417-191 x -164095-887 x -35335-955 x -32819-4435 x -7067


How do I find the factor combinations of the number 31,342,145?

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 31,342,145, 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 31,342,145
-1 -31,342,145

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 31,342,145.

Example:
1 x 31,342,145 = 31,342,145
and
-1 x -31,342,145 = 31,342,145
Notice both answers equal 31,342,145

With that explanation out of the way, let's continue. Next, we take the number 31,342,145 and divide it by 2:

31,342,145 ÷ 2 = 15,671,072.5

If the quotient is a whole number, then 2 and 15,671,072.5 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 31,342,145
-1 -31,342,145

Now, we try dividing 31,342,145 by 3:

31,342,145 ÷ 3 = 10,447,381.6667

If the quotient is a whole number, then 3 and 10,447,381.6667 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 31,342,145
-1 -31,342,145

Let's try dividing by 4:

31,342,145 ÷ 4 = 7,835,536.25

If the quotient is a whole number, then 4 and 7,835,536.25 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 31,342,145
-1 31,342,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15371851918879554,4357,06732,81935,335164,095169,417847,0856,268,42931,342,145
-1-5-37-185-191-887-955-4,435-7,067-32,819-35,335-164,095-169,417-847,085-6,268,429-31,342,145

More Examples

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