Q: What are the factor combinations of the number 464,364,407?

 A:
Positive:   1 x 46436440713 x 3572033931 x 14979497403 x 1152269577 x 8047911997 x 2325317501 x 6190717887 x 25961
Negative: -1 x -464364407-13 x -35720339-31 x -14979497-403 x -1152269-577 x -804791-1997 x -232531-7501 x -61907-17887 x -25961


How do I find the factor combinations of the number 464,364,407?

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 464,364,407, 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.

1 464,364,407
-1 -464,364,407

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 464,364,407.

Example:
1 x 464,364,407 = 464,364,407
and
-1 x -464,364,407 = 464,364,407
Notice both answers equal 464,364,407

With that explanation out of the way, let's continue. Next, we take the number 464,364,407 and divide it by 2:

464,364,407 ÷ 2 = 232,182,203.5

If the quotient is a whole number, then 2 and 232,182,203.5 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:

1 464,364,407
-1 -464,364,407

Now, we try dividing 464,364,407 by 3:

464,364,407 ÷ 3 = 154,788,135.6667

If the quotient is a whole number, then 3 and 154,788,135.6667 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:

1 464,364,407
-1 -464,364,407

Let's try dividing by 4:

464,364,407 ÷ 4 = 116,091,101.75

If the quotient is a whole number, then 4 and 116,091,101.75 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:

1 464,364,407
-1 464,364,407
Keep dividing by the next highest number until you cannot divide anymore.

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

113314035771,9977,50117,88725,96161,907232,531804,7911,152,26914,979,49735,720,339464,364,407
-1-13-31-403-577-1,997-7,501-17,887-25,961-61,907-232,531-804,791-1,152,269-14,979,497-35,720,339-464,364,407

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