Q: What are the factor combinations of the number 46,342,769?

 A:
Positive:   1 x 4634276911 x 421297923 x 2014903113 x 410113253 x 1831731243 x 372831621 x 285892599 x 17831
Negative: -1 x -46342769-11 x -4212979-23 x -2014903-113 x -410113-253 x -183173-1243 x -37283-1621 x -28589-2599 x -17831


How do I find the factor combinations of the number 46,342,769?

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 46,342,769, 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 46,342,769
-1 -46,342,769

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 46,342,769.

Example:
1 x 46,342,769 = 46,342,769
and
-1 x -46,342,769 = 46,342,769
Notice both answers equal 46,342,769

With that explanation out of the way, let's continue. Next, we take the number 46,342,769 and divide it by 2:

46,342,769 ÷ 2 = 23,171,384.5

If the quotient is a whole number, then 2 and 23,171,384.5 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 46,342,769
-1 -46,342,769

Now, we try dividing 46,342,769 by 3:

46,342,769 ÷ 3 = 15,447,589.6667

If the quotient is a whole number, then 3 and 15,447,589.6667 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 46,342,769
-1 -46,342,769

Let's try dividing by 4:

46,342,769 ÷ 4 = 11,585,692.25

If the quotient is a whole number, then 4 and 11,585,692.25 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 46,342,769
-1 46,342,769
Keep dividing by the next highest number until you cannot divide anymore.

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

111231132531,2431,6212,59917,83128,58937,283183,173410,1132,014,9034,212,97946,342,769
-1-11-23-113-253-1,243-1,621-2,599-17,831-28,589-37,283-183,173-410,113-2,014,903-4,212,979-46,342,769

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