Q: What are the factor combinations of the number 46,446,155?

 A:
Positive:   1 x 464461555 x 92892317 x 663516535 x 1327033139 x 334145695 x 66829973 x 477354865 x 9547
Negative: -1 x -46446155-5 x -9289231-7 x -6635165-35 x -1327033-139 x -334145-695 x -66829-973 x -47735-4865 x -9547


How do I find the factor combinations of the number 46,446,155?

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 46,446,155, 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 46,446,155
-1 -46,446,155

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 46,446,155.

Example:
1 x 46,446,155 = 46,446,155
and
-1 x -46,446,155 = 46,446,155
Notice both answers equal 46,446,155

With that explanation out of the way, let's continue. Next, we take the number 46,446,155 and divide it by 2:

46,446,155 ÷ 2 = 23,223,077.5

If the quotient is a whole number, then 2 and 23,223,077.5 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 46,446,155
-1 -46,446,155

Now, we try dividing 46,446,155 by 3:

46,446,155 ÷ 3 = 15,482,051.6667

If the quotient is a whole number, then 3 and 15,482,051.6667 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 46,446,155
-1 -46,446,155

Let's try dividing by 4:

46,446,155 ÷ 4 = 11,611,538.75

If the quotient is a whole number, then 4 and 11,611,538.75 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 46,446,155
-1 46,446,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157351396959734,8659,54747,73566,829334,1451,327,0336,635,1659,289,23146,446,155
-1-5-7-35-139-695-973-4,865-9,547-47,735-66,829-334,145-1,327,033-6,635,165-9,289,231-46,446,155

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