Q: What are the factor combinations of the number 46,762,807?

 A:
Positive:   1 x 467628077 x 668040113 x 359713949 x 95434391 x 513877169 x 276703637 x 734111183 x 395295647 x 8281
Negative: -1 x -46762807-7 x -6680401-13 x -3597139-49 x -954343-91 x -513877-169 x -276703-637 x -73411-1183 x -39529-5647 x -8281


How do I find the factor combinations of the number 46,762,807?

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 46,762,807, 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 46,762,807
-1 -46,762,807

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 46,762,807.

Example:
1 x 46,762,807 = 46,762,807
and
-1 x -46,762,807 = 46,762,807
Notice both answers equal 46,762,807

With that explanation out of the way, let's continue. Next, we take the number 46,762,807 and divide it by 2:

46,762,807 ÷ 2 = 23,381,403.5

If the quotient is a whole number, then 2 and 23,381,403.5 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 46,762,807
-1 -46,762,807

Now, we try dividing 46,762,807 by 3:

46,762,807 ÷ 3 = 15,587,602.3333

If the quotient is a whole number, then 3 and 15,587,602.3333 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 46,762,807
-1 -46,762,807

Let's try dividing by 4:

46,762,807 ÷ 4 = 11,690,701.75

If the quotient is a whole number, then 4 and 11,690,701.75 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 46,762,807
-1 46,762,807
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911696371,1835,6478,28139,52973,411276,703513,877954,3433,597,1396,680,40146,762,807
-1-7-13-49-91-169-637-1,183-5,647-8,281-39,529-73,411-276,703-513,877-954,343-3,597,139-6,680,401-46,762,807

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