Q: What are the factor combinations of the number 45,455,501?

 A:
Positive:   1 x 454555017 x 649364313 x 349657717 x 267385391 x 499511119 x 381979221 x 2056811547 x 29383
Negative: -1 x -45455501-7 x -6493643-13 x -3496577-17 x -2673853-91 x -499511-119 x -381979-221 x -205681-1547 x -29383


How do I find the factor combinations of the number 45,455,501?

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 45,455,501, 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 45,455,501
-1 -45,455,501

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 45,455,501.

Example:
1 x 45,455,501 = 45,455,501
and
-1 x -45,455,501 = 45,455,501
Notice both answers equal 45,455,501

With that explanation out of the way, let's continue. Next, we take the number 45,455,501 and divide it by 2:

45,455,501 ÷ 2 = 22,727,750.5

If the quotient is a whole number, then 2 and 22,727,750.5 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 45,455,501
-1 -45,455,501

Now, we try dividing 45,455,501 by 3:

45,455,501 ÷ 3 = 15,151,833.6667

If the quotient is a whole number, then 3 and 15,151,833.6667 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 45,455,501
-1 -45,455,501

Let's try dividing by 4:

45,455,501 ÷ 4 = 11,363,875.25

If the quotient is a whole number, then 4 and 11,363,875.25 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 45,455,501
-1 45,455,501
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,54729,383205,681381,979499,5112,673,8533,496,5776,493,64345,455,501
-1-7-13-17-91-119-221-1,547-29,383-205,681-381,979-499,511-2,673,853-3,496,577-6,493,643-45,455,501

More Examples

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