Q: What are the factor combinations of the number 705,025,265?

 A:
Positive:   1 x 7050252655 x 1410050537 x 10071789535 x 201435793709 x 1900855431 x 12981518545 x 3801725963 x 27155
Negative: -1 x -705025265-5 x -141005053-7 x -100717895-35 x -20143579-3709 x -190085-5431 x -129815-18545 x -38017-25963 x -27155


How do I find the factor combinations of the number 705,025,265?

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 705,025,265, 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.

1 705,025,265
-1 -705,025,265

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 705,025,265.

Example:
1 x 705,025,265 = 705,025,265
and
-1 x -705,025,265 = 705,025,265
Notice both answers equal 705,025,265

With that explanation out of the way, let's continue. Next, we take the number 705,025,265 and divide it by 2:

705,025,265 ÷ 2 = 352,512,632.5

If the quotient is a whole number, then 2 and 352,512,632.5 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:

1 705,025,265
-1 -705,025,265

Now, we try dividing 705,025,265 by 3:

705,025,265 ÷ 3 = 235,008,421.6667

If the quotient is a whole number, then 3 and 235,008,421.6667 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:

1 705,025,265
-1 -705,025,265

Let's try dividing by 4:

705,025,265 ÷ 4 = 176,256,316.25

If the quotient is a whole number, then 4 and 176,256,316.25 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:

1 705,025,265
-1 705,025,265
Keep dividing by the next highest number until you cannot divide anymore.

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

157353,7095,43118,54525,96327,15538,017129,815190,08520,143,579100,717,895141,005,053705,025,265
-1-5-7-35-3,709-5,431-18,545-25,963-27,155-38,017-129,815-190,085-20,143,579-100,717,895-141,005,053-705,025,265

More Examples

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