Q: What are the factor combinations of the number 113,020,145?

 A:
Positive:   1 x 1130201455 x 226040297 x 1614573535 x 3229147233 x 4850651165 x 970131631 x 692958155 x 13859
Negative: -1 x -113020145-5 x -22604029-7 x -16145735-35 x -3229147-233 x -485065-1165 x -97013-1631 x -69295-8155 x -13859


How do I find the factor combinations of the number 113,020,145?

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 113,020,145, 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.

1 113,020,145
-1 -113,020,145

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 113,020,145.

Example:
1 x 113,020,145 = 113,020,145
and
-1 x -113,020,145 = 113,020,145
Notice both answers equal 113,020,145

With that explanation out of the way, let's continue. Next, we take the number 113,020,145 and divide it by 2:

113,020,145 ÷ 2 = 56,510,072.5

If the quotient is a whole number, then 2 and 56,510,072.5 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:

1 113,020,145
-1 -113,020,145

Now, we try dividing 113,020,145 by 3:

113,020,145 ÷ 3 = 37,673,381.6667

If the quotient is a whole number, then 3 and 37,673,381.6667 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:

1 113,020,145
-1 -113,020,145

Let's try dividing by 4:

113,020,145 ÷ 4 = 28,255,036.25

If the quotient is a whole number, then 4 and 28,255,036.25 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:

1 113,020,145
-1 113,020,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6318,15513,85969,29597,013485,0653,229,14716,145,73522,604,029113,020,145
-1-5-7-35-233-1,165-1,631-8,155-13,859-69,295-97,013-485,065-3,229,147-16,145,735-22,604,029-113,020,145

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