Q: What are the factor combinations of the number 37,358,915?

 A:
Positive:   1 x 373589155 x 747178311 x 339626555 x 679253691 x 54065983 x 380053455 x 108134915 x 7601
Negative: -1 x -37358915-5 x -7471783-11 x -3396265-55 x -679253-691 x -54065-983 x -38005-3455 x -10813-4915 x -7601


How do I find the factor combinations of the number 37,358,915?

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 37,358,915, 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 37,358,915
-1 -37,358,915

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 37,358,915.

Example:
1 x 37,358,915 = 37,358,915
and
-1 x -37,358,915 = 37,358,915
Notice both answers equal 37,358,915

With that explanation out of the way, let's continue. Next, we take the number 37,358,915 and divide it by 2:

37,358,915 ÷ 2 = 18,679,457.5

If the quotient is a whole number, then 2 and 18,679,457.5 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 37,358,915
-1 -37,358,915

Now, we try dividing 37,358,915 by 3:

37,358,915 ÷ 3 = 12,452,971.6667

If the quotient is a whole number, then 3 and 12,452,971.6667 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 37,358,915
-1 -37,358,915

Let's try dividing by 4:

37,358,915 ÷ 4 = 9,339,728.75

If the quotient is a whole number, then 4 and 9,339,728.75 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 37,358,915
-1 37,358,915
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556919833,4554,9157,60110,81338,00554,065679,2533,396,2657,471,78337,358,915
-1-5-11-55-691-983-3,455-4,915-7,601-10,813-38,005-54,065-679,253-3,396,265-7,471,783-37,358,915

More Examples

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