Q: What are the factor combinations of the number 46,564,735?

 A:
Positive:   1 x 465647355 x 93129477 x 665210535 x 1330421149 x 312515745 x 625031043 x 446455215 x 8929
Negative: -1 x -46564735-5 x -9312947-7 x -6652105-35 x -1330421-149 x -312515-745 x -62503-1043 x -44645-5215 x -8929


How do I find the factor combinations of the number 46,564,735?

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 46,564,735, 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 46,564,735
-1 -46,564,735

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 46,564,735.

Example:
1 x 46,564,735 = 46,564,735
and
-1 x -46,564,735 = 46,564,735
Notice both answers equal 46,564,735

With that explanation out of the way, let's continue. Next, we take the number 46,564,735 and divide it by 2:

46,564,735 ÷ 2 = 23,282,367.5

If the quotient is a whole number, then 2 and 23,282,367.5 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 46,564,735
-1 -46,564,735

Now, we try dividing 46,564,735 by 3:

46,564,735 ÷ 3 = 15,521,578.3333

If the quotient is a whole number, then 3 and 15,521,578.3333 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 46,564,735
-1 -46,564,735

Let's try dividing by 4:

46,564,735 ÷ 4 = 11,641,183.75

If the quotient is a whole number, then 4 and 11,641,183.75 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 46,564,735
-1 46,564,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0435,2158,92944,64562,503312,5151,330,4216,652,1059,312,94746,564,735
-1-5-7-35-149-745-1,043-5,215-8,929-44,645-62,503-312,515-1,330,421-6,652,105-9,312,947-46,564,735

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