Q: What are the factor combinations of the number 5,425,651?

 A:
Positive:   1 x 54256517 x 77509311 x 49324131 x 17502177 x 70463217 x 25003341 x 159112273 x 2387
Negative: -1 x -5425651-7 x -775093-11 x -493241-31 x -175021-77 x -70463-217 x -25003-341 x -15911-2273 x -2387


How do I find the factor combinations of the number 5,425,651?

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 5,425,651, 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 5,425,651
-1 -5,425,651

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 5,425,651.

Example:
1 x 5,425,651 = 5,425,651
and
-1 x -5,425,651 = 5,425,651
Notice both answers equal 5,425,651

With that explanation out of the way, let's continue. Next, we take the number 5,425,651 and divide it by 2:

5,425,651 ÷ 2 = 2,712,825.5

If the quotient is a whole number, then 2 and 2,712,825.5 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 5,425,651
-1 -5,425,651

Now, we try dividing 5,425,651 by 3:

5,425,651 ÷ 3 = 1,808,550.3333

If the quotient is a whole number, then 3 and 1,808,550.3333 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 5,425,651
-1 -5,425,651

Let's try dividing by 4:

5,425,651 ÷ 4 = 1,356,412.75

If the quotient is a whole number, then 4 and 1,356,412.75 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 5,425,651
-1 5,425,651
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,2732,38715,91125,00370,463175,021493,241775,0935,425,651
-1-7-11-31-77-217-341-2,273-2,387-15,911-25,003-70,463-175,021-493,241-775,093-5,425,651

More Examples

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