Q: What are the factor combinations of the number 53,374,165?

 A:
Positive:   1 x 533741655 x 1067483313 x 410570537 x 144254565 x 821141185 x 288509481 x 1109652405 x 22193
Negative: -1 x -53374165-5 x -10674833-13 x -4105705-37 x -1442545-65 x -821141-185 x -288509-481 x -110965-2405 x -22193


How do I find the factor combinations of the number 53,374,165?

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 53,374,165, 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 53,374,165
-1 -53,374,165

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 53,374,165.

Example:
1 x 53,374,165 = 53,374,165
and
-1 x -53,374,165 = 53,374,165
Notice both answers equal 53,374,165

With that explanation out of the way, let's continue. Next, we take the number 53,374,165 and divide it by 2:

53,374,165 ÷ 2 = 26,687,082.5

If the quotient is a whole number, then 2 and 26,687,082.5 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 53,374,165
-1 -53,374,165

Now, we try dividing 53,374,165 by 3:

53,374,165 ÷ 3 = 17,791,388.3333

If the quotient is a whole number, then 3 and 17,791,388.3333 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 53,374,165
-1 -53,374,165

Let's try dividing by 4:

53,374,165 ÷ 4 = 13,343,541.25

If the quotient is a whole number, then 4 and 13,343,541.25 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 53,374,165
-1 53,374,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,40522,193110,965288,509821,1411,442,5454,105,70510,674,83353,374,165
-1-5-13-37-65-185-481-2,405-22,193-110,965-288,509-821,141-1,442,545-4,105,705-10,674,833-53,374,165

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