Q: What are the factor combinations of the number 464,353,771?

 A:
Positive:   1 x 4643537717 x 6633625329 x 16012199203 x 2287457307 x 15125532149 x 2160797451 x 623218903 x 52157
Negative: -1 x -464353771-7 x -66336253-29 x -16012199-203 x -2287457-307 x -1512553-2149 x -216079-7451 x -62321-8903 x -52157


How do I find the factor combinations of the number 464,353,771?

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 464,353,771, 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.

1 464,353,771
-1 -464,353,771

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 464,353,771.

Example:
1 x 464,353,771 = 464,353,771
and
-1 x -464,353,771 = 464,353,771
Notice both answers equal 464,353,771

With that explanation out of the way, let's continue. Next, we take the number 464,353,771 and divide it by 2:

464,353,771 ÷ 2 = 232,176,885.5

If the quotient is a whole number, then 2 and 232,176,885.5 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:

1 464,353,771
-1 -464,353,771

Now, we try dividing 464,353,771 by 3:

464,353,771 ÷ 3 = 154,784,590.3333

If the quotient is a whole number, then 3 and 154,784,590.3333 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:

1 464,353,771
-1 -464,353,771

Let's try dividing by 4:

464,353,771 ÷ 4 = 116,088,442.75

If the quotient is a whole number, then 4 and 116,088,442.75 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:

1 464,353,771
-1 464,353,771
Keep dividing by the next highest number until you cannot divide anymore.

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

17292033072,1497,4518,90352,15762,321216,0791,512,5532,287,45716,012,19966,336,253464,353,771
-1-7-29-203-307-2,149-7,451-8,903-52,157-62,321-216,079-1,512,553-2,287,457-16,012,199-66,336,253-464,353,771

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