Q: What are the factor combinations of the number 46,041,151?

 A:
Positive:   1 x 4604115113 x 354162717 x 2708303181 x 254371221 x 2083311151 x 400012353 x 195673077 x 14963
Negative: -1 x -46041151-13 x -3541627-17 x -2708303-181 x -254371-221 x -208331-1151 x -40001-2353 x -19567-3077 x -14963


How do I find the factor combinations of the number 46,041,151?

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 46,041,151, 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 46,041,151
-1 -46,041,151

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 46,041,151.

Example:
1 x 46,041,151 = 46,041,151
and
-1 x -46,041,151 = 46,041,151
Notice both answers equal 46,041,151

With that explanation out of the way, let's continue. Next, we take the number 46,041,151 and divide it by 2:

46,041,151 ÷ 2 = 23,020,575.5

If the quotient is a whole number, then 2 and 23,020,575.5 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 46,041,151
-1 -46,041,151

Now, we try dividing 46,041,151 by 3:

46,041,151 ÷ 3 = 15,347,050.3333

If the quotient is a whole number, then 3 and 15,347,050.3333 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 46,041,151
-1 -46,041,151

Let's try dividing by 4:

46,041,151 ÷ 4 = 11,510,287.75

If the quotient is a whole number, then 4 and 11,510,287.75 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 46,041,151
-1 46,041,151
Keep dividing by the next highest number until you cannot divide anymore.

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

113171812211,1512,3533,07714,96319,56740,001208,331254,3712,708,3033,541,62746,041,151
-1-13-17-181-221-1,151-2,353-3,077-14,963-19,567-40,001-208,331-254,371-2,708,303-3,541,627-46,041,151

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,041,151:


Ask a Question