Q: What are the factor combinations of the number 37,033,337?

 A:
Positive:   1 x 3703333711 x 336666719 x 194912337 x 1000901209 x 177193407 x 90991703 x 526794789 x 7733
Negative: -1 x -37033337-11 x -3366667-19 x -1949123-37 x -1000901-209 x -177193-407 x -90991-703 x -52679-4789 x -7733


How do I find the factor combinations of the number 37,033,337?

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 37,033,337, 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 37,033,337
-1 -37,033,337

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 37,033,337.

Example:
1 x 37,033,337 = 37,033,337
and
-1 x -37,033,337 = 37,033,337
Notice both answers equal 37,033,337

With that explanation out of the way, let's continue. Next, we take the number 37,033,337 and divide it by 2:

37,033,337 ÷ 2 = 18,516,668.5

If the quotient is a whole number, then 2 and 18,516,668.5 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 37,033,337
-1 -37,033,337

Now, we try dividing 37,033,337 by 3:

37,033,337 ÷ 3 = 12,344,445.6667

If the quotient is a whole number, then 3 and 12,344,445.6667 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 37,033,337
-1 -37,033,337

Let's try dividing by 4:

37,033,337 ÷ 4 = 9,258,334.25

If the quotient is a whole number, then 4 and 9,258,334.25 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 37,033,337
-1 37,033,337
Keep dividing by the next highest number until you cannot divide anymore.

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

11119372094077034,7897,73352,67990,991177,1931,000,9011,949,1233,366,66737,033,337
-1-11-19-37-209-407-703-4,789-7,733-52,679-90,991-177,193-1,000,901-1,949,123-3,366,667-37,033,337

More Examples

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