Q: What are the factor combinations of the number 46,771,573?

 A:
Positive:   1 x 4677157317 x 275126943 x 1087711109 x 429097587 x 79679731 x 639831853 x 252414687 x 9979
Negative: -1 x -46771573-17 x -2751269-43 x -1087711-109 x -429097-587 x -79679-731 x -63983-1853 x -25241-4687 x -9979


How do I find the factor combinations of the number 46,771,573?

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 46,771,573, 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 46,771,573
-1 -46,771,573

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 46,771,573.

Example:
1 x 46,771,573 = 46,771,573
and
-1 x -46,771,573 = 46,771,573
Notice both answers equal 46,771,573

With that explanation out of the way, let's continue. Next, we take the number 46,771,573 and divide it by 2:

46,771,573 ÷ 2 = 23,385,786.5

If the quotient is a whole number, then 2 and 23,385,786.5 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 46,771,573
-1 -46,771,573

Now, we try dividing 46,771,573 by 3:

46,771,573 ÷ 3 = 15,590,524.3333

If the quotient is a whole number, then 3 and 15,590,524.3333 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 46,771,573
-1 -46,771,573

Let's try dividing by 4:

46,771,573 ÷ 4 = 11,692,893.25

If the quotient is a whole number, then 4 and 11,692,893.25 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 46,771,573
-1 46,771,573
Keep dividing by the next highest number until you cannot divide anymore.

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

117431095877311,8534,6879,97925,24163,98379,679429,0971,087,7112,751,26946,771,573
-1-17-43-109-587-731-1,853-4,687-9,979-25,241-63,983-79,679-429,097-1,087,711-2,751,269-46,771,573

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