Q: What are the factor combinations of the number 37,746,545?

 A:
Positive:   1 x 377465455 x 754930917 x 222038529 x 130160585 x 444077145 x 260321493 x 765652465 x 15313
Negative: -1 x -37746545-5 x -7549309-17 x -2220385-29 x -1301605-85 x -444077-145 x -260321-493 x -76565-2465 x -15313


How do I find the factor combinations of the number 37,746,545?

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 37,746,545, 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 37,746,545
-1 -37,746,545

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 37,746,545.

Example:
1 x 37,746,545 = 37,746,545
and
-1 x -37,746,545 = 37,746,545
Notice both answers equal 37,746,545

With that explanation out of the way, let's continue. Next, we take the number 37,746,545 and divide it by 2:

37,746,545 ÷ 2 = 18,873,272.5

If the quotient is a whole number, then 2 and 18,873,272.5 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 37,746,545
-1 -37,746,545

Now, we try dividing 37,746,545 by 3:

37,746,545 ÷ 3 = 12,582,181.6667

If the quotient is a whole number, then 3 and 12,582,181.6667 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 37,746,545
-1 -37,746,545

Let's try dividing by 4:

37,746,545 ÷ 4 = 9,436,636.25

If the quotient is a whole number, then 4 and 9,436,636.25 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 37,746,545
-1 37,746,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,46515,31376,565260,321444,0771,301,6052,220,3857,549,30937,746,545
-1-5-17-29-85-145-493-2,465-15,313-76,565-260,321-444,077-1,301,605-2,220,385-7,549,309-37,746,545

More Examples

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