Q: What are the factor combinations of the number 401,748,865?

 A:
Positive:   1 x 4017488655 x 803497737 x 5739269535 x 114785391831 x 2194156269 x 640859155 x 4388312817 x 31345
Negative: -1 x -401748865-5 x -80349773-7 x -57392695-35 x -11478539-1831 x -219415-6269 x -64085-9155 x -43883-12817 x -31345


How do I find the factor combinations of the number 401,748,865?

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 401,748,865, 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.

1 401,748,865
-1 -401,748,865

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 401,748,865.

Example:
1 x 401,748,865 = 401,748,865
and
-1 x -401,748,865 = 401,748,865
Notice both answers equal 401,748,865

With that explanation out of the way, let's continue. Next, we take the number 401,748,865 and divide it by 2:

401,748,865 ÷ 2 = 200,874,432.5

If the quotient is a whole number, then 2 and 200,874,432.5 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:

1 401,748,865
-1 -401,748,865

Now, we try dividing 401,748,865 by 3:

401,748,865 ÷ 3 = 133,916,288.3333

If the quotient is a whole number, then 3 and 133,916,288.3333 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:

1 401,748,865
-1 -401,748,865

Let's try dividing by 4:

401,748,865 ÷ 4 = 100,437,216.25

If the quotient is a whole number, then 4 and 100,437,216.25 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:

1 401,748,865
-1 401,748,865
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,8316,2699,15512,81731,34543,88364,085219,41511,478,53957,392,69580,349,773401,748,865
-1-5-7-35-1,831-6,269-9,155-12,817-31,345-43,883-64,085-219,415-11,478,539-57,392,695-80,349,773-401,748,865

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