Q: What are the factor combinations of the number 107,473,572?

 A:
Positive:   1 x 1074735722 x 537367863 x 358245244 x 268683936 x 179122629 x 1194150812 x 895613118 x 597075423 x 467276436 x 298537746 x 233638269 x 155758892 x 1168191138 x 778794207 x 519196276 x 389397293 x 366804414 x 259598443 x 242604586 x 183402828 x 129799879 x 122268886 x 1213021172 x 917011329 x 808681758 x 611341772 x 606512637 x 407562658 x 404343516 x 305673987 x 269565274 x 203785316 x 202176739 x 159487974 x 1347810189 x 10548
Negative: -1 x -107473572-2 x -53736786-3 x -35824524-4 x -26868393-6 x -17912262-9 x -11941508-12 x -8956131-18 x -5970754-23 x -4672764-36 x -2985377-46 x -2336382-69 x -1557588-92 x -1168191-138 x -778794-207 x -519196-276 x -389397-293 x -366804-414 x -259598-443 x -242604-586 x -183402-828 x -129799-879 x -122268-886 x -121302-1172 x -91701-1329 x -80868-1758 x -61134-1772 x -60651-2637 x -40756-2658 x -40434-3516 x -30567-3987 x -26956-5274 x -20378-5316 x -20217-6739 x -15948-7974 x -13478-10189 x -10548


How do I find the factor combinations of the number 107,473,572?

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 107,473,572, 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.

1 107,473,572
-1 -107,473,572

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 107,473,572.

Example:
1 x 107,473,572 = 107,473,572
and
-1 x -107,473,572 = 107,473,572
Notice both answers equal 107,473,572

With that explanation out of the way, let's continue. Next, we take the number 107,473,572 and divide it by 2:

107,473,572 ÷ 2 = 53,736,786

If the quotient is a whole number, then 2 and 53,736,786 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 53,736,786 107,473,572
-1 -2 -53,736,786 -107,473,572

Now, we try dividing 107,473,572 by 3:

107,473,572 ÷ 3 = 35,824,524

If the quotient is a whole number, then 3 and 35,824,524 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 35,824,524 53,736,786 107,473,572
-1 -2 -3 -35,824,524 -53,736,786 -107,473,572

Let's try dividing by 4:

107,473,572 ÷ 4 = 26,868,393

If the quotient is a whole number, then 4 and 26,868,393 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 26,868,393 35,824,524 53,736,786 107,473,572
-1 -2 -3 -4 -26,868,393 -35,824,524 -53,736,786 107,473,572
Keep dividing by the next highest number until you cannot divide anymore.

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

123469121823364669921382072762934144435868288798861,1721,3291,7581,7722,6372,6583,5163,9875,2745,3166,7397,97410,18910,54813,47815,94820,21720,37826,95630,56740,43440,75660,65161,13480,86891,701121,302122,268129,799183,402242,604259,598366,804389,397519,196778,7941,168,1911,557,5882,336,3822,985,3774,672,7645,970,7548,956,13111,941,50817,912,26226,868,39335,824,52453,736,786107,473,572
-1-2-3-4-6-9-12-18-23-36-46-69-92-138-207-276-293-414-443-586-828-879-886-1,172-1,329-1,758-1,772-2,637-2,658-3,516-3,987-5,274-5,316-6,739-7,974-10,189-10,548-13,478-15,948-20,217-20,378-26,956-30,567-40,434-40,756-60,651-61,134-80,868-91,701-121,302-122,268-129,799-183,402-242,604-259,598-366,804-389,397-519,196-778,794-1,168,191-1,557,588-2,336,382-2,985,377-4,672,764-5,970,754-8,956,131-11,941,508-17,912,262-26,868,393-35,824,524-53,736,786-107,473,572

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