Q: What are the prime factors of the number 142,543,520?

 A: 2, 5, 7, 127271

Why are those the prime factors of the number 142,543,520?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 142,543,520

142,543,520
Factor Arrows
271,271,760
Factor Arrows
235,635,880
Factor Arrows
217,817,940
Factor Arrows
28,908,970
Factor Arrows
24,454,485
Factor Arrows
5890,897
Factor Arrows
7127,271

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 7, 127271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 127,271 = 142,543,520

This can also be written as 25 x 51 x 71 x 127,2711 = 142,543,520

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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