Q: What are the factor combinations of the number 37,745,461?

 A:
Positive:   1 x 3774546113 x 290349723 x 164110741 x 920621299 x 126239533 x 70817943 x 400273079 x 12259
Negative: -1 x -37745461-13 x -2903497-23 x -1641107-41 x -920621-299 x -126239-533 x -70817-943 x -40027-3079 x -12259


How do I find the factor combinations of the number 37,745,461?

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 37,745,461, 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 37,745,461
-1 -37,745,461

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 37,745,461.

Example:
1 x 37,745,461 = 37,745,461
and
-1 x -37,745,461 = 37,745,461
Notice both answers equal 37,745,461

With that explanation out of the way, let's continue. Next, we take the number 37,745,461 and divide it by 2:

37,745,461 ÷ 2 = 18,872,730.5

If the quotient is a whole number, then 2 and 18,872,730.5 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 37,745,461
-1 -37,745,461

Now, we try dividing 37,745,461 by 3:

37,745,461 ÷ 3 = 12,581,820.3333

If the quotient is a whole number, then 3 and 12,581,820.3333 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 37,745,461
-1 -37,745,461

Let's try dividing by 4:

37,745,461 ÷ 4 = 9,436,365.25

If the quotient is a whole number, then 4 and 9,436,365.25 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 37,745,461
-1 37,745,461
Keep dividing by the next highest number until you cannot divide anymore.

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

11323412995339433,07912,25940,02770,817126,239920,6211,641,1072,903,49737,745,461
-1-13-23-41-299-533-943-3,079-12,259-40,027-70,817-126,239-920,621-1,641,107-2,903,497-37,745,461

More Examples

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