Q: What are the factor combinations of the number 377,545?

 A:
Positive:   1 x 3775455 x 755097 x 5393523 x 1641535 x 1078749 x 770567 x 5635115 x 3283161 x 2345245 x 1541335 x 1127469 x 805
Negative: -1 x -377545-5 x -75509-7 x -53935-23 x -16415-35 x -10787-49 x -7705-67 x -5635-115 x -3283-161 x -2345-245 x -1541-335 x -1127-469 x -805


How do I find the factor combinations of the number 377,545?

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 377,545, 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.

1 377,545
-1 -377,545

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 377,545.

Example:
1 x 377,545 = 377,545
and
-1 x -377,545 = 377,545
Notice both answers equal 377,545

With that explanation out of the way, let's continue. Next, we take the number 377,545 and divide it by 2:

377,545 ÷ 2 = 188,772.5

If the quotient is a whole number, then 2 and 188,772.5 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:

1 377,545
-1 -377,545

Now, we try dividing 377,545 by 3:

377,545 ÷ 3 = 125,848.3333

If the quotient is a whole number, then 3 and 125,848.3333 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:

1 377,545
-1 -377,545

Let's try dividing by 4:

377,545 ÷ 4 = 94,386.25

If the quotient is a whole number, then 4 and 94,386.25 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:

1 377,545
-1 377,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157233549671151612453354698051,1271,5412,3453,2835,6357,70510,78716,41553,93575,509377,545
-1-5-7-23-35-49-67-115-161-245-335-469-805-1,127-1,541-2,345-3,283-5,635-7,705-10,787-16,415-53,935-75,509-377,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 377,545:


Ask a Question