Q: What are the factor combinations of the number 46,846,735?

 A:
Positive:   1 x 468467355 x 936934713 x 360359531 x 151118565 x 72071967 x 699205155 x 302237335 x 139841347 x 135005403 x 116245871 x 537851735 x 270012015 x 232492077 x 225554355 x 107574511 x 10385
Negative: -1 x -46846735-5 x -9369347-13 x -3603595-31 x -1511185-65 x -720719-67 x -699205-155 x -302237-335 x -139841-347 x -135005-403 x -116245-871 x -53785-1735 x -27001-2015 x -23249-2077 x -22555-4355 x -10757-4511 x -10385


How do I find the factor combinations of the number 46,846,735?

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 46,846,735, 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 46,846,735
-1 -46,846,735

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 46,846,735.

Example:
1 x 46,846,735 = 46,846,735
and
-1 x -46,846,735 = 46,846,735
Notice both answers equal 46,846,735

With that explanation out of the way, let's continue. Next, we take the number 46,846,735 and divide it by 2:

46,846,735 ÷ 2 = 23,423,367.5

If the quotient is a whole number, then 2 and 23,423,367.5 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 46,846,735
-1 -46,846,735

Now, we try dividing 46,846,735 by 3:

46,846,735 ÷ 3 = 15,615,578.3333

If the quotient is a whole number, then 3 and 15,615,578.3333 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 46,846,735
-1 -46,846,735

Let's try dividing by 4:

46,846,735 ÷ 4 = 11,711,683.75

If the quotient is a whole number, then 4 and 11,711,683.75 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 46,846,735
-1 46,846,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15133165671553353474038711,7352,0152,0774,3554,51110,38510,75722,55523,24927,00153,785116,245135,005139,841302,237699,205720,7191,511,1853,603,5959,369,34746,846,735
-1-5-13-31-65-67-155-335-347-403-871-1,735-2,015-2,077-4,355-4,511-10,385-10,757-22,555-23,249-27,001-53,785-116,245-135,005-139,841-302,237-699,205-720,719-1,511,185-3,603,595-9,369,347-46,846,735

More Examples

Here are some more numbers to try:

46,846,73346,846,73446,846,73646,846,737
Try the factor calculator

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