Q: What are the factor combinations of the number 573,400,165?

 A:
Positive:   1 x 5734001655 x 11468003313 x 4410770565 x 88215412749 x 2085853209 x 17868513745 x 4171716045 x 35737
Negative: -1 x -573400165-5 x -114680033-13 x -44107705-65 x -8821541-2749 x -208585-3209 x -178685-13745 x -41717-16045 x -35737


How do I find the factor combinations of the number 573,400,165?

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 573,400,165, 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.

1 573,400,165
-1 -573,400,165

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 573,400,165.

Example:
1 x 573,400,165 = 573,400,165
and
-1 x -573,400,165 = 573,400,165
Notice both answers equal 573,400,165

With that explanation out of the way, let's continue. Next, we take the number 573,400,165 and divide it by 2:

573,400,165 ÷ 2 = 286,700,082.5

If the quotient is a whole number, then 2 and 286,700,082.5 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:

1 573,400,165
-1 -573,400,165

Now, we try dividing 573,400,165 by 3:

573,400,165 ÷ 3 = 191,133,388.3333

If the quotient is a whole number, then 3 and 191,133,388.3333 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:

1 573,400,165
-1 -573,400,165

Let's try dividing by 4:

573,400,165 ÷ 4 = 143,350,041.25

If the quotient is a whole number, then 4 and 143,350,041.25 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:

1 573,400,165
-1 573,400,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652,7493,20913,74516,04535,73741,717178,685208,5858,821,54144,107,705114,680,033573,400,165
-1-5-13-65-2,749-3,209-13,745-16,045-35,737-41,717-178,685-208,585-8,821,541-44,107,705-114,680,033-573,400,165

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