Q: What are the factor combinations of the number 65,424,425?

 A:
Positive:   1 x 654244255 x 1308488511 x 594767525 x 261697755 x 118953573 x 896225275 x 237907365 x 179245803 x 814751825 x 358493259 x 200754015 x 16295
Negative: -1 x -65424425-5 x -13084885-11 x -5947675-25 x -2616977-55 x -1189535-73 x -896225-275 x -237907-365 x -179245-803 x -81475-1825 x -35849-3259 x -20075-4015 x -16295


How do I find the factor combinations of the number 65,424,425?

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 65,424,425, 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 65,424,425
-1 -65,424,425

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 65,424,425.

Example:
1 x 65,424,425 = 65,424,425
and
-1 x -65,424,425 = 65,424,425
Notice both answers equal 65,424,425

With that explanation out of the way, let's continue. Next, we take the number 65,424,425 and divide it by 2:

65,424,425 ÷ 2 = 32,712,212.5

If the quotient is a whole number, then 2 and 32,712,212.5 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 65,424,425
-1 -65,424,425

Now, we try dividing 65,424,425 by 3:

65,424,425 ÷ 3 = 21,808,141.6667

If the quotient is a whole number, then 3 and 21,808,141.6667 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 65,424,425
-1 -65,424,425

Let's try dividing by 4:

65,424,425 ÷ 4 = 16,356,106.25

If the quotient is a whole number, then 4 and 16,356,106.25 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 65,424,425
-1 65,424,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555732753658031,8253,2594,01516,29520,07535,84981,475179,245237,907896,2251,189,5352,616,9775,947,67513,084,88565,424,425
-1-5-11-25-55-73-275-365-803-1,825-3,259-4,015-16,295-20,075-35,849-81,475-179,245-237,907-896,225-1,189,535-2,616,977-5,947,675-13,084,885-65,424,425

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