Q: What are the factor combinations of the number 37,464,625?

 A:
Positive:   1 x 374646255 x 749292511 x 340587525 x 149858555 x 681175121 x 309625125 x 299717275 x 136235605 x 619251375 x 272472477 x 151253025 x 12385
Negative: -1 x -37464625-5 x -7492925-11 x -3405875-25 x -1498585-55 x -681175-121 x -309625-125 x -299717-275 x -136235-605 x -61925-1375 x -27247-2477 x -15125-3025 x -12385


How do I find the factor combinations of the number 37,464,625?

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 37,464,625, 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 37,464,625
-1 -37,464,625

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 37,464,625.

Example:
1 x 37,464,625 = 37,464,625
and
-1 x -37,464,625 = 37,464,625
Notice both answers equal 37,464,625

With that explanation out of the way, let's continue. Next, we take the number 37,464,625 and divide it by 2:

37,464,625 ÷ 2 = 18,732,312.5

If the quotient is a whole number, then 2 and 18,732,312.5 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 37,464,625
-1 -37,464,625

Now, we try dividing 37,464,625 by 3:

37,464,625 ÷ 3 = 12,488,208.3333

If the quotient is a whole number, then 3 and 12,488,208.3333 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 37,464,625
-1 -37,464,625

Let's try dividing by 4:

37,464,625 ÷ 4 = 9,366,156.25

If the quotient is a whole number, then 4 and 9,366,156.25 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 37,464,625
-1 37,464,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551211252756051,3752,4773,02512,38515,12527,24761,925136,235299,717309,625681,1751,498,5853,405,8757,492,92537,464,625
-1-5-11-25-55-121-125-275-605-1,375-2,477-3,025-12,385-15,125-27,247-61,925-136,235-299,717-309,625-681,175-1,498,585-3,405,875-7,492,925-37,464,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,464,625:


Ask a Question