Q: What are the factor combinations of the number 37,531,417?

 A:
Positive:   1 x 375314177 x 536163111 x 341194773 x 51412977 x 487421121 x 310177511 x 73447607 x 61831803 x 46739847 x 443114249 x 88335621 x 6677
Negative: -1 x -37531417-7 x -5361631-11 x -3411947-73 x -514129-77 x -487421-121 x -310177-511 x -73447-607 x -61831-803 x -46739-847 x -44311-4249 x -8833-5621 x -6677


How do I find the factor combinations of the number 37,531,417?

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 37,531,417, 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 37,531,417
-1 -37,531,417

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 37,531,417.

Example:
1 x 37,531,417 = 37,531,417
and
-1 x -37,531,417 = 37,531,417
Notice both answers equal 37,531,417

With that explanation out of the way, let's continue. Next, we take the number 37,531,417 and divide it by 2:

37,531,417 ÷ 2 = 18,765,708.5

If the quotient is a whole number, then 2 and 18,765,708.5 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 37,531,417
-1 -37,531,417

Now, we try dividing 37,531,417 by 3:

37,531,417 ÷ 3 = 12,510,472.3333

If the quotient is a whole number, then 3 and 12,510,472.3333 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 37,531,417
-1 -37,531,417

Let's try dividing by 4:

37,531,417 ÷ 4 = 9,382,854.25

If the quotient is a whole number, then 4 and 9,382,854.25 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 37,531,417
-1 37,531,417
Keep dividing by the next highest number until you cannot divide anymore.

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

171173771215116078038474,2495,6216,6778,83344,31146,73961,83173,447310,177487,421514,1293,411,9475,361,63137,531,417
-1-7-11-73-77-121-511-607-803-847-4,249-5,621-6,677-8,833-44,311-46,739-61,831-73,447-310,177-487,421-514,129-3,411,947-5,361,631-37,531,417

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,531,417:


Ask a Question