Q: What are the factor combinations of the number 45,238,735?

 A:
Positive:   1 x 452387355 x 904774767 x 67520583 x 545045335 x 135041415 x 1090091627 x 278055561 x 8135
Negative: -1 x -45238735-5 x -9047747-67 x -675205-83 x -545045-335 x -135041-415 x -109009-1627 x -27805-5561 x -8135


How do I find the factor combinations of the number 45,238,735?

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 45,238,735, 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 45,238,735
-1 -45,238,735

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 45,238,735.

Example:
1 x 45,238,735 = 45,238,735
and
-1 x -45,238,735 = 45,238,735
Notice both answers equal 45,238,735

With that explanation out of the way, let's continue. Next, we take the number 45,238,735 and divide it by 2:

45,238,735 ÷ 2 = 22,619,367.5

If the quotient is a whole number, then 2 and 22,619,367.5 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 45,238,735
-1 -45,238,735

Now, we try dividing 45,238,735 by 3:

45,238,735 ÷ 3 = 15,079,578.3333

If the quotient is a whole number, then 3 and 15,079,578.3333 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 45,238,735
-1 -45,238,735

Let's try dividing by 4:

45,238,735 ÷ 4 = 11,309,683.75

If the quotient is a whole number, then 4 and 11,309,683.75 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 45,238,735
-1 45,238,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1567833354151,6275,5618,13527,805109,009135,041545,045675,2059,047,74745,238,735
-1-5-67-83-335-415-1,627-5,561-8,135-27,805-109,009-135,041-545,045-675,205-9,047,747-45,238,735

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