Q: What are the factor combinations of the number 175,507,645?

 A:
Positive:   1 x 1755076455 x 3510152953 x 3311465113 x 1553165265 x 662293565 x 3106335861 x 299455989 x 29305
Negative: -1 x -175507645-5 x -35101529-53 x -3311465-113 x -1553165-265 x -662293-565 x -310633-5861 x -29945-5989 x -29305


How do I find the factor combinations of the number 175,507,645?

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 175,507,645, 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.

1 175,507,645
-1 -175,507,645

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 175,507,645.

Example:
1 x 175,507,645 = 175,507,645
and
-1 x -175,507,645 = 175,507,645
Notice both answers equal 175,507,645

With that explanation out of the way, let's continue. Next, we take the number 175,507,645 and divide it by 2:

175,507,645 ÷ 2 = 87,753,822.5

If the quotient is a whole number, then 2 and 87,753,822.5 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:

1 175,507,645
-1 -175,507,645

Now, we try dividing 175,507,645 by 3:

175,507,645 ÷ 3 = 58,502,548.3333

If the quotient is a whole number, then 3 and 58,502,548.3333 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:

1 175,507,645
-1 -175,507,645

Let's try dividing by 4:

175,507,645 ÷ 4 = 43,876,911.25

If the quotient is a whole number, then 4 and 43,876,911.25 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:

1 175,507,645
-1 175,507,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15531132655655,8615,98929,30529,945310,633662,2931,553,1653,311,46535,101,529175,507,645
-1-5-53-113-265-565-5,861-5,989-29,305-29,945-310,633-662,293-1,553,165-3,311,465-35,101,529-175,507,645

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